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1

Maggiore, Manfredi. "Output feedback control : a state-variable approach /." The Ohio State University, 2000. http://rave.ohiolink.edu/etdc/view?acc_num=osu1488203552780374.

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2

Norlander, Hans. "Parameterization of state feedback gains for pole assignment." Licentiate thesis, Uppsala universitet, Avdelningen för systemteknik, 2001. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-86017.

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The pole assignment problem has been subject for research for a long time. For single-input single-output systems this problem is well understood but for multi-input multi-output systems the pole assignment problem is more complex. In this thesis a parameterization of state feedback gains for pole assignment is characterized with respect to completeness, redundancy and existence. In order to make a systematic examination of this parameterization a number of classes are introduced. This parameterization depends on two matrices that can be regarded as design parameters. In the thesis it is shown how the degree of freedom in the pole assignment problem for multi-input systems is characterized by these two matrices. It turns out that the properties of the parameterization depends on whether the characteristic polynomials of the open and the closed loop systems are coprime or not. It is shown in the thesis that if the characteristic polynomials are coprime, every possible feedback gain can be parameterized in this way, and in this sense the parameterization is complete. If the characteristic polynomials have factors in common the parameterization is not complete. In the thesis the shortcomings of the parameterization for this case are characterized. The design parameters seem to offer a greater degree of freedom than what can be offered in the pole assignment problem. This indicates a certain degree of overparameterization. This redundancy in the design parameters is characterized in the thesis. The parameterization implies that a certain matrix is invertible. Necessary conditions for when this matrix is invertible are given in terms of the two design parameters. It is shown that this matrix is invertible for almost every value of the design parameters when the characteristic polynomials are coprime, and hence that the parameterized gains are generally applicable. The parameterization and its properties are illustrated on a linear model of the military aircraft JAS Gripen.
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3

Subramanian, Sankaranarayanan [Verfasser]. "Tube-enhanced Multi-stage Model Predictive Control : Robust State and Output Feedback Control / Sankaranarayanan Subramanian." Düren : Shaker, 2021. http://d-nb.info/1229779698/34.

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4

Polston, James D. "DECENTRALIZED ADAPTIVE CONTROL FOR UNCERTAIN LINEAR SYSTEMS: TECHNIQUES WITH LOCAL FULL-STATE FEEDBACK OR LOCAL RELATIVE-DEGREE-ONE OUTPUT FEEDBACK." UKnowledge, 2013. http://uknowledge.uky.edu/me_etds/24.

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This thesis presents decentralized model reference adaptive control techniques for systems with full-state feedback and systems with output feedback. The controllers are strictly decentralized, that is, each local controller uses feedback from only local subsystems and no information is shared between local controllers. The full-state feedback decentralized controller is effective for multi-input systems, where the dynamics matrix and control-input matrix are unknown. The decentralized controller achieves asymptotic stabilization and command following in the presence of sinusoidal disturbances with known spectrum. We present a construction technique of the reference-model dynamics such that the decentralized controller is effective for systems with arbitrarily large subsystem interconnections. The output-feedback decentralized controller is effective for single-input single-output subsystems that are minimum phase and relative degree one. The decentralized controller achieves asymptotic stabilization and disturbance rejection in the presence of an unknown disturbance, which is generated by an unknown Lyapunov-stable linear system.
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5

Hauksdóttir, Anna Soffía. "State observers and state-feedback controllers for a class of nonlinear systems /." The Ohio State University, 1987. http://rave.ohiolink.edu/etdc/view?acc_num=osu1487327695621325.

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6

Irving, J. P. "Robust pole assignment via state feedback and its relationship to linear optimal control and output feedback pole assignment." Thesis, University of Salford, 1989. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.252935.

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7

Mashner, Michael. "Multirate machine vision based Kalman filtering and state feedback control." Thesis, Georgia Institute of Technology, 2002. http://hdl.handle.net/1853/16082.

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8

Mu, Jianqiu. "State feedback sliding mode control of complex systems with applications." Thesis, University of Kent, 2018. https://kar.kent.ac.uk/65793/.

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This thesis concerns the development of robust nonlinear control design for complex systems including nonholonomic systems and large-scale systems using sliding mode control (SMC) techniques under the assumption that all system state variables are accessible for design. The main developments in this thesis include: 1). The concept of generalised regular form and design of a novel sliding function. The mathematical definition of generalised regular form is proposed for the first time. It is an extension of the classical regular form, which makes SMC applicable to a wider class of nonlinear systems. A novel sliding function design, which is based on the global implicit function theorem, is proposed to guarantee unique sliding mode dynamics. 2). The development of decentralised SMC for large-scale interconnected systems. For systems with uncertain interconnections which possess the superposition property, a decentralised control scheme is presented to counteract the effect of the uncertainty by using bounds on uncertainties and interconnections. The bounds used in the design are nonlinear functions instead of constant, linear or polynomial functions. The design strategy has also been expanded to a fully nonlinear case for interconnected systems in the generalised regular form. 3). Robust decentralised SMC for a class of nonlinear systems with uncertainties in input distribution. A system with uncertainties in input distribution is full of challenges. A novel method is proposed to deal with such uncertainties for a class of nonlinear interconnected systems. The designed decentralised SMC enhances the robustness of the controlled systems. This thesis also provides case studies of three applications for the proposed approaches. The existence of the generalised regular form is verified in the trajectory tracking control of a wheeled mobile robot (WMR) system. Both simulations and experiments on the WMR are given to demonstrate the validity and effectiveness of the generalised regular form-based SMC design. A continuous stirred tank reactor (CSTR) system and a longitudinal vehicle-following system are used to test the proposed decentralised SMC schemes. An expanded vehicle-following system with both longitudinal and lateral controllers has been developed to demonstrate the robust control design for system with uncertainties in input distribution.
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9

Selby, Normajean. "STATE-VARIABLE FEEDBACK CONTROL OF A MAGNETICALLY SUSPENDED CENTRIFUGAL BLOOD PUMP." University of Akron / OhioLINK, 2007. http://rave.ohiolink.edu/etdc/view?acc_num=akron1185567515.

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10

L'afflitto, Andrea. "Finite-time partial stability, stabilization, semistabilization, and optimal feedback control." Diss., Georgia Institute of Technology, 2015. http://hdl.handle.net/1853/53573.

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Asymptotic stability is a key notion of system stability for controlled dynamical systems as it guarantees that the system trajectories are bounded in a neighborhood of a given isolated equilibrium point and converge to this equilibrium over the infinite horizon. In some applications, however, asymptotic stability is not the appropriate notion of stability. For example, for systems with a continuum of equilibria, every neighborhood of an equilibrium contains another equilibrium and a nonisolated equilibrium cannot be asymptotically stable. Alternatively, in stabilization of spacecraft dynamics via gimballed gyroscopes, it is desirable to find state- and output-feedback control laws that guarantee partial-state stability of the closed-loop system, that is, stability with respect to part of the system state. Furthermore, we may additionally require finite-time stability of the closed-loop system, that is, convergence of the system's trajectories to a Lyapunov stable equilibrium in finite time. The Hamilton-Jacobi-Bellman optimal control framework provides necessary and sufficient conditions for the existence of state-feedback controllers that minimize a given performance measure and guarantee asymptotic stability of the closed-loop system. In this research, we provide extensions of the Hamilton-Jacobi-Bellman optimal control theory to develop state-feedback control laws that minimize nonlinear-nonquadratic performance criteria and guarantee semistability, partial-state stability, finite-time stability, and finite-time partial state stability of the closed-loop system.
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11

Boukas, Theocharis K. "Exact feedback linearization with state derivative feedback for high-performance field-oriented induction motor speed/position control." Diss., Georgia Institute of Technology, 2003. http://hdl.handle.net/1853/14890.

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12

Gaid, MEMB, AS Cela, and Y. Hamam. "Optimal Real-Time Scheduling of Control Tasks with State Feedback Resource Allocation." IEEE Transactions on Control Systems Technology, 2009. http://encore.tut.ac.za/iii/cpro/DigitalItemViewPage.external?sp=1001370.

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Abstract—This paper proposes a new approach for the optimal integrated control and real-time scheduling of control tasks. First, the problem of the optimal integrated control and nonpreemptive off-line scheduling of control tasks in the sense of the H2 performance criterion is addressed. It is shown that this problem may be decomposed into two sub-problems. The first sub-problem aims at finding the optimal non-preemptive off-line schedule, and may be solved using the branch and bound method. The second sub-problem uses the lifting technique to determine the optimal control gains, based on the solution of the first sub-problem. Second, an efficient on-line scheduling algorithm is proposed. This algorithm, called Reactive Pointer Placement (RPP) scheduling algorithm, uses the plant state information to dispatch the computational resources in a way that improves control performance. Control performance improvements as well as stability guarantees are formally proven. Finally, simulations as well as experimental results are presented in order to illustrate the effectiveness of the proposed approach.
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13

Dongsheng, Han, and rising_sun_han@hotmail com. "Robust Control for Offshore Steel Jacket Platforms under Wave-Induced Forces." Central Queensland University. School of Computing Sciences, 2008. http://library-resources.cqu.edu.au./thesis/adt-QCQU/public/adt-QCQU20080717.104813.

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This thesis is concerned with robust control of an offshore steel jacket platform subject to nonlinear wave-induced forces. Since time delay and uncertainty are inevitably encountered for an offshore structure and their existence may induce instability, oscillation and poor performance, it is very significant to study on how the delay and uncertainty affect the offshore structure. In this thesis, a memory robust control strategy is, for the first time, proposed to reduce the internal oscillations of the offshore structure under wave-induced forces, so as to ensure the safety and comfort of the offshore structure. Firstly, when the system's states are adopted as feedback, memory state feedback controllers are introduced for the offshore structure. By using Lyapunov-Krasovskii stability theory, some delay-dependent stability criteria have been established, based on which, and by combining with some linearization techniques, memory state feedback controllers are designed to control the offshore structure. The simulation results show that such controllers can effectively reduce the internal oscillations of the offshore structure subject to nonlinear wave-induced forces and uncertainties. On the other hand, a new Lyapunov-Krasovskii functional is introduced to derive a less conservative delay-dependent stability criterion. When this criterion is applied to the offshore structure, an improved memory state feedback controller with a small gain is obtained to control the system more effectively, which is sufficiently shown by the simulation. Secondly, when the system's outputs are adopted as feedback, memory dynamic output feedback controllers are considered for the offshore structure. By employing a projection theorem and a cone complementary linearization approach, memory dynamic output feedback controllers are derived by solving some nonlinear minimization problem subject to some linear matrix inequalities. The simulation results show that the internal oscillations of the offshore structure subject to nonlinear wave-induced forces are well attenuated. Finally, robust H control is fully investigated for the offshore structure. By employing Lyapunov-Krasovskii stability theory, some delay-dependent bounded real lemmas have been obtained, under which, via a memory state feedback controller or a dynamic output feedback controller, the resulting closed-loop system is not only asymptotically stable but also with a prescribed disturbance attenuation level. The simulation results illustrate the validity of the proposed method.
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14

Tanner, Jonathan S. "State feedback control of a single-loop thermosyphon system via a quotient controller." Click here to access thesis, 2007. http://www.georgiasouthern.edu/etd/archive/spring2007/jonathan_s_tanner/Tanner_Jonathan_S_MS_200701.pdf.

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Thesis (M.S.)--Georgia Southern University, 2007.
"A thesis submitted to the Graduate Faculty of Georgia Southern University in partial fulfillment of the requirements for the degree Master of Science." Under the direction of Yan Wu. ETD. Electronic version approved: May 2007. Includes bibliographical references (p. 48) and appendices.
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15

Yu, Tungsheng. "On-line Traffic Signalization using Robust Feedback Control." Diss., Virginia Tech, 1997. http://hdl.handle.net/10919/26334.

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The traffic signal affects the life of virtually everyone every day. The effectiveness of signal systems can reduce the incidence
of delays, stops, fuel consumption, emission of pollutants, and accidents. The problems related to rapid growth in traffic
congestion call for more effective traffic signalization using robust feedback control methodology.

Online traffic-responsive signalization is based on real-time traffic conditions and selects cycle, split, phase, and offset for the intersection according to detector data. A robust traffic feedback control begins with assembling traffic demands, traffic facility supply, and feedback
control law for the existing traffic operating environment. This information serves the input to the traffic control process
which in turn provides an output in terms of the desired performance under varying conditions.

Traffic signalization belongs to a class of hybrid systems since the differential equations model the continuous behavior of the traffic flow dynamics and finite-state machines model the discrete state changes of the controller. A complicating aspect, due to the state-space
constraint that queue lengths are necessarily nonnegative, is that the continuous-time system dynamics is actually the
projection of a smooth system of ordinary differential equations. This also leads to discontinuities in the boundary dynamics
of a sort common in queueing problems.
The project is concerned with the design of a feedback controller to minimize accumulated queue lengths in the presence of unknown inflow disturbances at an isolated intersection and a traffic network with some signalized intersections. A dynamical system has finite L2-gain if it is dissipative in some sense. Therefore, the Hinfinity-control problem turns to designing a controller such that the resulting closed loop system is dissipative, and correspondingly there exists a storage function.

The major contributions of this thesis include 1) to propose state space models for both isolated multi-phase intersections and a class of queueing networks; 2) to formulate Hinfinity problems for the control systems with persistent disturbances; 3) to present the projection dynamics aspects of the problem to account for the constraints on the state variables; 4) formally to study this problem as a hybrid system; 5) to derive traffic-actuated feedback control laws for the multi-phase intersections. Though we have mathematically presented a robust feedback solution for the traffic signalization, there still remains some distance before the physical implementation. A robust adaptive control is an interesting research area for the future traffic signalization.
Ph. D.

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16

Mohd, Isira Ahmad Sadhiqin Bin. "Consensus control of a class of nonlinear systems." Thesis, University of Manchester, 2016. https://www.research.manchester.ac.uk/portal/en/theses/consensus-control-of-a-class-of-nonlinear-systems(462b2f1a-d08b-4c52-9f3e-c2dcb7257acc).html.

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This dissertation aims at solving the consensus control problem of multi-agent systems with Lipschitz nonlinearity. This depends on the design of the controller that enables each agent or subsystem in multi-agent systems with Lipschitz nonlinearity to reach consensus; using the understanding of the agents' connection network from the knowledge of graph theory as well as the control system design strategy. The objective is achieved by designing a type of distributed control, namely the consensus control, which manipulates the relative information of each agent in a multi-agent systems in order to arrive at a single solution. In addition, containment control is also developed to solve containment problem. It is an extension of consensus control via leader-follower configuration, aimed at having each agent contained by multiple leaders in a multi-agent systems with Lipschitz nonlinearity. Four types of controllers are proposed - state-feedback consensus controller, observer-based consensus controller, state-feedback containment controller and observer-based containment controller; each provides the stability conditions based on Lyapunov stability analysis in time domain which enabled each agent or subsystem to reach consensus. The observer-based controllers are designed based on the consensus observer that is related to Luenberger observer. Linear Matrix Inequality (LMI) and Algebraic Riccati Equation (ARE) are utilized to obtain the solutions for the stability conditions. The simulation results of the proposed controllers and observers have been carried out to prove their theoretical validity. Several practical examples of flexible robot arm simulations are included to further validate the theoretical aspects of the thesis.
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17

Bill, Adam. "Nonnegative feedback systems in population ecology." Thesis, University of Bath, 2016. https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.698987.

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We develop and adapt absolute stability results for nonnegative Lur'e systems, that is, systems made up of linear part and a nonlinear feedback in which the state remains nonnegative for all time. This is done in both continuous and discrete time with an aim of applying these results to population modeling. Further to this, we consider forced nonnegative Lur'e systems, that is, Lur'e systems with an additional disturbance, and provide results on input-to-state stability (ISS), again in both continuous and discrete time. We provide necessary and sufficient conditions for a forced Lur'e system to have the converging-input converging-state (CICS) property in a general setting before specializing these results to nonnegative, single-input, single-output systems. Finally we apply integral control to nonnegative systems in order to control the output of the system with the key focus being on applications to population management.
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18

Murnleitner, Ernst. "State detection and feedback control of the anaerobic wastewater treatment using fuzzy logic." [S.l.] : [s.n.], 2001. http://deposit.ddb.de/cgi-bin/dokserv?idn=96438549X.

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19

Noble, A. D. "On-line computer control of turbine generators using state estimation and optimal feedback." Thesis, Imperial College London, 1985. http://hdl.handle.net/10044/1/37800.

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20

Horning, Marcus. "Feedback Control for Maximizing Combustion Efficiency of a Combustion Burner System." University of Akron / OhioLINK, 2016. http://rave.ohiolink.edu/etdc/view?acc_num=akron1459356183.

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21

Xiros, Nikolaos I. DEng. "Exact Feedback Linearization of Systems with State-Space Modulation and Demodulation." ScholarWorks@UNO, 2019. https://scholarworks.uno.edu/td/2657.

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The control theory of nonlinear systems has been receiving increasing attention in recent years, both for its technical importance as well as for its impact in various fields of application. In several key areas, such as aerospace, chemical and petrochemical industries, bioengineering, and robotics, a new practical application for this tool appears every day. System nonlinearity is characterized when at least one component or subsystem is nonlinear. Classical methods used in the study of linear systems, particularly superposition, are not usually applied to the nonlinear systems. It is necessary to use other methods to study the control of these systems. For a wide class of nonlinear systems, a rather important structural feature comes from the strong nonlinearity appearing as coupling between spectrally decoupled parts of the system. Even in the case of low frequencies, where lumped models can still be employed the nonlinear coupling between parts of the system requires specific treatment, using advanced mathematical tools. In this context, an alternative, frequency domain approach is pursued here. In the rest of this work, a specific system form of linearly decoupled but nonlinearly coupled subsystems is examined. The mathematical toolbox of the Hilbert transform is appropriately introduced for obtaining two low-pass subsystems that form an equivalent description of the essential overall system dynamics. The nonlinear coupled dynamics is investigated systematically by partitioning the coupled system state vector in such a way as to fully exploit the low-pass and the band-pass intrinsic features of free dynamics. In particular, by employing the Hilbert Transform, a low-pass equivalent system is derived. Then, a typical case is investigated thoroughly by means of numerical simulation of the original coupled low and band-pass, real-state-variable system and the low-pass-equivalent, complex-state-variable derived one. The nonlinear model equations considered here pave the way for a systematic investigation of nonlinear feedback control options designed to operate mechatronic transducers in energy harvesting, sensing or actuation modes.
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Mohamad-Than, Mohamad Nor. "The stability of control systems employing Kalman filters as stochastic observers in the state variable feedback configurations." Thesis, University of Reading, 1993. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.333408.

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23

Kim, Kilsoo. "K-modification and a novel approach to output feedback adaptive control." Diss., Georgia Institute of Technology, 2011. http://hdl.handle.net/1853/39579.

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This dissertation presents novel adaptive control laws in both state feedback and output feedback forms. In the setting of state feedback adaptive control K-modification provides a tunable stiffness term that results in a frequency dependent filtering effect, smoother transient responses, and time delay robustness in an adaptive system. K-modification is combined with the recently developed Kalman filter (KF) based adaptive control and derivative-free (DF) adaptive control. K-modification and its combinations with KF adaptive control and DF adaptive control preserve the advantages of each of these methods and can also be combined with other modification methods such as - and e-modification. An adaptive output feedback control law based on a state observer is also developed. The main idea behind this approach is to apply a parameter dependent Riccati equation to output feedback adaptive control. The adaptive output feedback approach assumes that a state observer is employed in the nominal controller design. The observer design is modified and employed in the adaptive part of the design in place of a reference model. This is combined with a novel adaptive weight update law. The weight update law ensures that estimated states follow both the reference model states and the true states so that both state estimation errors and state tracking errors are bounded. Although the formulation is in the setting of model following adaptive control, the realization of the adaptive controller uses the observer of the nominal controller in place of the reference model to generate an error signal. Thus the only components that are added by the adaptive controller are the realizations of the basis functions and the weight adaptation law. The realization is even less complex than that of implementing a model reference adaptive controller in the case of state feedback. The design procedure of output feedback adaptive control is illustrated with two examples: a simple wingrock dynamics model and a more complex aeroelastic aircraft transport model.
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24

Gettman, Chang-Ching Lo. "Multivariable control of the space shuttle remote manipulator system using linearization by state feedback." Thesis, Massachusetts Institute of Technology, 1993. http://hdl.handle.net/1721.1/46419.

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25

Horváth, Laura. "Closed Loop Combustion Control Demonstrator, Analysis of real-time sensory feedback and state estimation." Thesis, KTH, Maskinkonstruktion (Inst.), 2018. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-236517.

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Idag finns det en ökad efterfrågan på förbättrad motorstyrning inom motorutvecklingen. Återkoppling av relevanta förbränningsparametrar för att optimera förbränningsprocessen har undersökts som en eventuell lösning. Den här typen av kontroll baserar sig på realtidsinformation från motorn som sedan skickas till motorstyrenheten (Engine Control Unit, ECU) för att optimera bränsleinsprutningen. Denna kontroll skapar en övervakad förbränning som kan uppdateras kontinuerligt under drift. Signalbearbetningen består också av uppskattning av parametrar, som är svåra att mäta i motornsmiljö exempelvis värmeavgivning kopplat till vevaxelvinkel (10%, 50% och 90% brunnet). Motorstyrenheten kan använda denna vevaxelvinkel som en återkopplingssignal, och om nödvändigt så kan insprutningsfasningen uppdateras. Värdena som kommer från givarna hjälper också att upptäcka om vissa parametrar i motorn överstiger ett kritiskt värde, så att fel kan upptäckas. Realtidsmätning och bearbetning av sådan information är en komplex och resurskrävande uppgift när det gäller beräkning, vilket gör det nödvändigt att använda en ytterligare, snabb enhet för bearbetning. Den kompakta realtidsenheten som användes under projektet innehöll nödvändiga moduler för kommunikation samt en FPGA och ett CANgränssnitt. Dessa moduler gjorde det möjligt att uppfylla krav på hastighet, minne, provtagning, interpolering, medelvärdesberäkning av cykler samt beräkning av återkopplingssignalen och överföring till motorstyrenhet. Resultaten visar hur realtidsberäkningarna matchar resultaten med öppen styrning. Resultaten visar att omfattande synkronisering behövs för att matcha motorfasen med analoga sensorer, såsom tryckgivaren, som kan uppta en ganska stor del av minnet beroende på arkitekturen men genom att överväga tidskrav kan minnet sparas genom sekventiell körning. Det observerades också att burs kan störa beräkningarna på ett sätt att vissa beräkningsmodeller kan leda till helt felaktiga resultat, så det är önskvärt att få en signal som är så ostörd som möjligt.
There is an increasing demand for improved engine control in the area of engine development in order to improve engine life cycle, reduce emissions, increase efficiency, and optimize the combustion process. Closed-loop combustion control has been investigated as a possible solution to these demands. This kind of control relies on real-time sensor information coming from the engine. Its processing is based on what feedback signal is generated to the Engine Control Unit (ECU) in order to find the optimal time for fuel injection. This creates a monitored combustion process and an injection strategy that can be updated continuously during operation. The processing of the sensor signals involves estimation of parameters that are difficult to sense in an engine environment. Examples of such parameters are the heat release, and the calculation of the phase of the engine cycle (degree of the revolving crankshaft) where ten, fifty and ninety percent of the fuel completes its combustion. These crank angle degrees can be used by the ECU as a feedback signal, enabling to change the fuel injection strategy, if needed. The values coming from the sensors also help detecting if certain parameters of the engine surpass a critical value, so malfunction can be detected. Real-time acquisition and processing of such information is a complex and heavy task in terms of computation, which makes it necessary to use an additional, fast processing unit. The compact real-time board that was used during this thesis work, containing an analog and digital input and output module, as well as an FPGA and an interface for CAN communication had the possibility to meet speed and memory requirements to perform sampling, interpolation, averaging of a certain number of cycles, calculating the feedback signal and transmitting it to the engine control unit. The results show how the real time calculations, with necessary simplifications to meet speed requirements, match the results of models with offline and non real-time calculation. It was also observed how the closed-loop combustion affected the injection strategy, combined with the existing open-loop calculation model. The findings show that extensive synchronization is needed in order to pair the engine phase with analog sensors such as the pressure sensor, which can occupy quite a large part of the memory depending on the architecture, but by considering timing requirements, memory can be saved by sequential execution. It was also observed that noise can disturb the calculations to such an extent that certain calculation models can lead to completely wrong results, so it is desirable to have a signal that is as clean as possible.
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26

Doruk, Resat Ozgur. "Missile Autopilot Design By Projective Control Theory." Master's thesis, METU, 2003. http://etd.lib.metu.edu.tr/upload/4/1089929/index.pdf.

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In this thesis, autopilots are developed for missiles with moderate dynamics and stationary targets. The aim is to use the designs in real applications. Since the real missile model is nonlinear, a linearization process is required to get use of systematic linear controller design techniques. In the scope of this thesis, the linear quadratic full state feedback approach is applied for developing missile autopilots. However, the limitations of measurement systems on the missiles restrict the availability of all the states required for feedback. Because of this fact, the linear quadratic design will be approximated by the use of projective control theory. This method enables the designer to use preferably static feedback or if necessary a controller plus a low order compensator combination to approximate the full state feedback reference. Autopilots are checked for the validity of linearization, robust stability against aerodynamic, mechanical and measurement uncertainties.
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27

Rauh, Andreas [Verfasser]. "Sensitivity Methods for Analysis and Design of Dynamic Systems with Applications in Control Engineering : Feedforward Control – Feedback Control – Robust Control – State Estimation / Andreas Rauh." Aachen : Shaker, 2017. http://d-nb.info/1149278722/34.

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28

JAFRI, FIROZ ALI. "ANALYSIS AND CONTROL OF BIFURCATIONS IN A DOUBLE PENDULUM." University of Cincinnati / OhioLINK, 2003. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1047056008.

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29

Rijo, Marcos Giovane de Quevedo. "Desenvolvimento da base e controle do grau de liberdade rotacional de um robô cilíndrico com acionamento pneumático." reponame:Biblioteca Digital de Teses e Dissertações da UFRGS, 2013. http://hdl.handle.net/10183/75734.

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Este trabalho aborda o desenvolvimento da estrutura da base e do sistema de acionamento, transmissão e controle do 1º grau de liberdade de um robô cilíndrico de 5 graus de liberdade acionado pneumaticamente. A base é construída com alumínio estruturado de elevada rigidez, o que confere a sua estrutura mecânica baixas deformações em situações de operação do robô. Além de constituir a estrutura de apoio do manipulador, a base serve de repositório para diversos componentes de sensoriamento e comando dos diversos graus de liberdade do robô e ainda apresenta elementos estruturais que são utilizados como acumuladores de ar comprimido que servem para atenuar as flutuações de pressão nos atuadores pneumáticos. O 1º grau de liberdade do robô, de acordo com a concepção de um robô cilíndrico, é relativo ao giro do conjunto de elos do manipulador em torno do eixo vertical. O seu movimento é comandado por um atuador pneumático linear acoplado a um eixo rotativo por uma correia sincronizadora. O controlador proposto é baseado na técnica de realimentação de estados com alocação de polos e compensa a variação do momento de inércia do manipulador devida ao movimento do robô. Este esquema é baseado em um modelo matemático parametrizado que provê continuamente o valor de massa equivalente acoplada ao primeiro grau de atuador de liberdade. Assim, a cada ciclo de controle, os ganhos do controlador são recalculados a partir do valor atual da massa equivalente, visando a compensar sua variação. São apresentados resultados experimentais e discussões sobre o cálculo da massa equivalente e desempenho do controlador no seguimento de trajetória.
This work deals with the design of the base frame, drive, transmission and control systems used in the first degree of freedom of a pneumatically actuated cylindrical robot with five degrees of freedom. The base is constructed with high stiffness aluminum parts, which achieve low mechanical deformation in operational working conditions. Furthermore, the base structure in used as sensor and pneumatic components compartment and comprises aluminum structural elements that are used as accumulators compressed air used for reducing the pressure fluctuations on the pneumatic actuators operation. The first degree of freedom, according to the usual design of a cylindrical robot, is relative to the rotation of the manipulator arm around its vertical axis. This degree of freedom is controlled by a linear pneumatic actuator coupled to a rotary axis mechanism by an industrial synchronous belt. The proposed controller is based on the state feedback technique with pole location and compensates the variation of the moment of inertia of the manipulator due to the motion of the robot. This scheme is based on a parameterized mathematical model that continuously provides the equivalent mass value coupled to the first degree of freedom actuator. So, in each control cycle, the controller gains are recalculated on the basis of the equivalent mass, compensating its variation. Results of experiments and discussions about the equivalent mass calculation and controller performance are presented.
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30

Zagorski, Scott B. "Modeling, Control and State Estimation of a Roll Simulator." The Ohio State University, 2012. http://rave.ohiolink.edu/etdc/view?acc_num=osu1349900540.

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31

Wo, Siew Mun. "Analysis of a GSVD Approach to Full-State Feedback Control Design Using Singular Value Localization of Eigenvalues." Ohio University / OhioLINK, 1989. http://rave.ohiolink.edu/etdc/view?acc_num=ohiou1239731736.

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32

Sawant, Neil Ravindra. "Longitudinal Vehicle Speed Controller for Autonomous Driving in Urban Stop-and-Go Traffic Situations." The Ohio State University, 2010. http://rave.ohiolink.edu/etdc/view?acc_num=osu1285011632.

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33

Gero, Ryan Micah. "Low-Impact and Damped State Feedback Control of a Solar Sail on an Optimal Non-Keplerian Planet-Centered Orbit." The Ohio State University, 2009. http://rave.ohiolink.edu/etdc/view?acc_num=osu1243426802.

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34

Gullhamn, Esbjörn. "Control of Water Content and Retention in Hydropower Plant Cascades." Thesis, KTH, Reglerteknik, 2004. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-109482.

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The discharge through a river hydropower plant must be controlled such that the water level at a pre-specified point close to the facility is kept within given bounds. The controllers used today have a somewhat demanding tuning and often create too much amplified, unnatural discharge variations resulting in unsatisfactory control performance.This will affect both surrounding nature and imposing problems for river navigation. This thesis will present a new type of controller called Override Selector feedback Control that adds an estimator for the water levels and water flows in the up- and downriver for each hydropower plant on top of the old controller. The objective of the state feedback control is to keep the total variation of the water levels and the waterflows as small as possible. After the linear, discrete time model of the power plant cascade in a river derived from the Saint Venant equations have been developed, the new concept is evaluated. Both the water level sloshing and the amplification of the discharges compared to the structure used today is damped with the new control structure. Other advantages of the proposed controller is that it will be cost efficient to implement because of the add-on approach. This is seen as a very important factor while the actual benefit that can be made by improving the water level control is very limited and thereby also the will to make extensive control investments. The control structure will be easily implemented as the estimators only need the same input data as used today.
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35

Goodman, Robert J. "The Impact of a Mindful State on Ego-Salience and Self-Control." Cleveland State University / OhioLINK, 2009. http://rave.ohiolink.edu/etdc/view?acc_num=csu1242830373.

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36

Androulakakis, Pavlos. "Evolutionary Design of Near-Optimal Controllers for Autonomous Systems Operating in Adversarial Environments." University of Cincinnati / OhioLINK, 2021. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1627665780943046.

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37

Wolm, Patrick. "Dynamic Stability Control of Front Wheel Drive Wheelchairs Using Solid State Accelerometers and Gyroscopes." Thesis, University of Canterbury. Mechanical Engineering, 2009. http://hdl.handle.net/10092/4451.

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While the active dynamic stability of automobiles has increased over the past 17 years there have been very few similar advances made with electrically powered wheelchairs. This lack of improvement has led to a long standing acceptance of less-than-optimal stability and control of these wheelchairs. Accidents due to loss of stability are well documented. Hence, the healthcare industry has made several efforts for improved control of electric powered wheelchairs (EPWs) to provide enhanced comfort, safety and manoeuvrability at a lower cost. In response, an area of stability control was identified that could benefit from a feedback control system using solid state sensors. To design an effective closed–loop feedback controller with optimal performance to overcome instabilities, an accurate model of wheelchair dynamics needed to be created. Such a model can be employed to test various controllers quickly and repeatedly, without the difficulties of physically setting a wheelchair up for each test. This task was one central goal of this research. A wireless test-bed of a front wheel drive (FWD) wheelchair was also developed to validate a dynamic wheelchair model. It integrates sensors, a data control system, an embedded controller, and the motorised mechanical system. The wireless communication ensures the integrity of sensor data collected and control signals sent. The test-bed developed not only facilitates the development of feedback controllers of motorised wheelchairs, but the collected data can also be used to confirm theories of causes of dynamic instabilities. The prototype test-bed performed the required tasks to satisfaction as defined by the sponsor. Data collected from live tests in which the test-bed followed set patterns, was processed and analysed. The patterns were designed to induce instability. The analysis revealed that an occupied wheelchair is more stable than an unoccupied wheelchair, disproving an initial instability theory proposed in this research. However, a proximal theory explaining over-steer is confirmed. Two models of the FWD test-bed were created. First, a dynamic model inherited from prior research, based on equations of motion was tested and enhanced based on measured data. However, even with alterations to correct parameter values and variables in the equations, a complete model validation was not possible. Second, a kinematic model was created with a factor to compensate for dynamics not normally accounted in kinematic models. The kinematic model was partially validated versus the measured data. Although, still highly accurate, there is room for improvement in this model. Both models contained a sub-system drive motor model, to account for input forces to the FWD wheelchair system model, which is fully validated.
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38

Fillius, James B. "An experimental study of steady state high heat flux removal using spray cooling." Thesis, Monterey, Calif. : Springfield, Va. : Naval Postgraduate School ; Available from National Technical Information Service, 2004. http://library.nps.navy.mil/uhtbin/hyperion/04Dec%5FFillius.pdf.

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39

Remund, Todd Gordon. "A Naive, Robust and Stable State Estimate." BYU ScholarsArchive, 2008. https://scholarsarchive.byu.edu/etd/1424.

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A naive approach to filtering for feedback control of dynamic systems that is robust and stable is proposed. Simulations are run on the filters presented to investigate the robustness properties of each filter. Each simulation with the comparison of the filters is carried out using the usual mean squared error. The filters to be included are the classic Kalman filter, Krein space Kalman, two adjustments to the Krein filter with input modeling and a second uncertainty parameter, a newly developed filter called the Naive filter, bias corrected Naive, exponentially weighted moving average (EWMA) Naive, and bias corrected EWMA Naive filter.
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40

Kurudamannil, Jubal J. "Improved Robust Stability Bounds for Sampled Data Systems with Time Delayed Feedback Control." The Ohio State University, 2015. http://rave.ohiolink.edu/etdc/view?acc_num=osu1419012522.

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41

Oosthuysen, Jeanné. "Infection prevention and control audit-feedback instrument for oral health care in South Africa." Thesis, Bloemfontein: Central University of Technology, Free State, 2015. http://hdl.handle.net/11462/669.

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Thesis (D. Tech. (Biomedical Technology)) -- Central University of Technology, Free State, 2015
This study reviewed national and international literature to develop an audit-feedback instrument (AFI) to monitor adherence of South African oral health care facilities with compliance to infection prevention and control precautions. In a multi-phased literature search, existing infection prevention and control recommendations, guidelines and audit-feedback instruments were reviewed and broadened to include “dental audit tools”, as well as audit tools from other health care disciplines. Audit-feedback instruments were scrutinised for user friendliness, the use of simple language, electronic calculations and feedback possibilities. A new South African AFI was proposed, considering the differences between public and private oral health care facilities and also the diversity of training levels of oral health care personnel employed. Eleven focus areas supporting all aspects of infection prevention and control in oral health care facilities, including administrative controls; personnel protection controls; environmental- and work controls; surface contamination management; equipment maintenance, service or repair; air- and waterline management; personal protective equipment usage; personal and hand hygiene practices; sterilisation practices; safe sharps handling and waste management were included. The AFI was tested in a sample of 50 oral health care facilities. None of the participating facilities demonstrated 100% compliance. Personal- and hand hygiene practices and waste management performed the best, at respectively 75% and 63%, while administrative controls and air- and waterline management scored the lowest mean values; 31% and 36% respectively The general lack of compliance with infection prevention and control precautions in the participating oral health care facilities clearly poses a safety hazard to both patients and oral health care workers. Results indicate that adherence of South African oral health care facilities with compliance to infection prevention and control precautions need to be improved. The AFI should go a long way towards improving safety and the high expectations about providing quality infection prevention and control outcomes in oral health care.
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42

Kratz, Jonathan L. "Robust Control of Uncertain Input-Delayed Sample Data Systems through Optimization of a Robustness Bound." The Ohio State University, 2015. http://rave.ohiolink.edu/etdc/view?acc_num=osu1429149093.

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43

Allgayer, Renan Schmidt. "Desenvolvimento de um manipulador robótico cilíndrico acionado pneumaticamente." reponame:Biblioteca Digital de Teses e Dissertações da UFRGS, 2011. http://hdl.handle.net/10183/32023.

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Este trabalho aborda o projeto de um manipulador robótico cilíndrico acionado pneumaticamente de baixo custo e com 5 graus de liberdade. Este robô está sendo desenvolvido para realizar operações de movimentação de peças que venham a substituir postos de trabalho com ambiente insalubre e/ou de ações repetitivas nas quais as exigências de precisão, velocidade e capacidade de carga sejam limitadas. Os requisitos de projeto foram obtidos por meio de uma pesquisa em uma fábrica de ferramentas manuais. É apresentada a proposta de uma estrutura mecânica para suprir parte significativa das necessidades usuais de movimentação de peças em indústrias manufatureiras e o seu correspondente modelo teórico dinâmico não-linear, considerando o equacionamento dos atuadores pneumáticos acoplados ao sistema mecânico. Finalmente, é apresentado o projeto de um controlador linear por meio da técnica de realimentação de estados, com os ganhos definidos pela alocação de pólos a partir de um modelo linearizado de 3ª ordem. Para validação do modelo teórico e do algorítmo de controle propostos são apresentadas simulações de movimentação ponto a ponto e seguimento de trajetória. Os resultados mostram que a precisão de posicionamento do efetuador final é adequada para as tarefas de manipulação.
This work proposes the design of a low cost cylindrical robotic manipulator actuated pneumatically with 5 degrees of freedom. This robot is being developed to perform manipulation of parts, aiming to replace tasks usually performed in unhealthy environment and/or repetitive actions in which the requirements of accuracy, speed and load capacity are limited. The project requirements were obtained through a research in a manual tools factory. It is proposed a geometry that is intended to meet a significant amount of the usual moving parts demands in manufacturing industries and its corresponding nonlinear dynamic theoretic model, considering the pneumatic actuators model coupled to the mechanical system. Finally, the application of a linear control-law based on the technique of state feedback with design made by pole assignment using a linearized model of 3rd order is described. For validation of the theoretic model and proposed control algorithm are presented simulations of point to point regulation problem and trajectory tracking. The results show that the positioning accuracy of the end effector is suitable for achieving the planned tasks.
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44

Brahma, Avra. "Methodologies for modeling and feedback control of the nox-BSFC trade-off in high-speed, common-rail, direct-injection diesel engines." The Ohio State University, 2005. http://rave.ohiolink.edu/etdc/view?acc_num=osu1118713041.

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45

Waqar, Mohsin. "Robust nonlinear observer for a non-collocated flexible motion system." Thesis, Atlanta, Ga. : Georgia Institute of Technology, 2008. http://hdl.handle.net/1853/22696.

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46

Cardenas, Lucena Carolina. "Contribución al control geométrico de sistemas de eventos discretos en el álgebra max-plus." Thesis, Ecole centrale de Nantes, 2016. http://www.theses.fr/2016ECDN0004/document.

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Le travail présenté s'inscrit dans le contexte de la théorie des systèmes linéaires dans les dioïdes. La motivation initiale de cette étude a été de contribuer à l'analyse et la commande de systèmes linéaires dans max-plus en utilisant spécifiquement une approche géométrique. La contribution de cette thèse est centrée sur deux problèmes. La première partie est dédiée à l'étude de la relation entre les notions d'invariance contrôlée et d'invariance contrôlée par retour d'état dynamique dans un semi-anneau. Cette relation permet de montrer l'équivalence de ces deux notions. La deuxième partie concerne un problème original dans la théorie des systèmes linéaires dans max-plus, il s'agit de la synthèse d'une loi de commande par retour d'état, qui permette de satisfaire un ensemble de spécifications exprimées sous la forme de restrictions sur l'état du système, avec une approche géométrique. Il s'agit plus précisément de commander des systèmes à événements discrets décrits par un modèle linéaire dans max-plus. Nous définissons et caractérisons l'ensemble des conditions initiales admissibles, lesquelles sont à l'origine de solutions non décroissantes. Les restrictions temporelles imposées à l'espace d'état du système sont décrites par le semi-module défini par l'image de l'étoile de Kleene de la matrice associée aux restrictions temporelles. Les propriétés géométriques de ce semi-module permettant de garantir que l'évolution du système en boucle fermée satisfasse les restrictions sont étudiées. Des conditions suffisantes concernant l'existence d'une loi de commande causale par retour d'état statique sont présentées. Le calcul des lois de commande causales est également présenté. Pour illustrer l'application de cette approche, deux problèmes de commande sont présentés
This work is in the context of the theory of linear Systems in the dioids. The initial motivation of this study was to contribute to the analysis and control of max-plus linear systems, specifically using a geometric approach. The contribution of this thesis focuses on two issues. The first part is dedicated to study of the relationship between the concepts of controlled invariance and dynamic state feedback controlled invariance in a semi-ring. This relationship allows us to show the equivalence of these two concepts. The second part relates to a new problem in the theory of max-plus linear systems, it is the synthesis, with a geometric approach, of a static state feedback control law, in order to satisfy a set of specifications that apply to the state space of the system. This is specifically to control of discrete event systems described by a linear model in max-plus. We define and characterize the set of admissible initial conditions, which are the cause of non-decreasing solutions. Temporal restrictions on the system state space are described by the semi-module defined by the image of the Kleene star of the matrix associated with time restrictions. The geometric properties of this semi-module are studied. Sufficient conditions for the existence of a causal control law by static feedback are presented. Calculating causal control laws is also presented. To illustrate the application of this approach, two control problems are presented
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47

Lafitte, Nicolas. "Modeling and control of MEMS tweezers for the characteriza- tions of enzymatic reactions on DNA molecules." Thesis, Besançon, 2012. http://www.theses.fr/2012BESA2029/document.

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L’objectif de ce travail de thèse est de démontrer pour la première fois la capture, la manipulationet la caractérisation de molécules biologiques grâce à une micropince réaliséeen technologie microsystème. La molécule d’ADN étant, dans un premier temps, la moléculecible, des fibres d’ADN sont capturées grâce à l’immersion de la micropince dansun petit volume inférieur à 1 μL de solution contenant les molécules. Elles sont ensuitecaractérisées mécaniquement et électriquement grâce aux fonctionnalités intégrées sur lamême puce en silicium.Le second volet de ce travail consiste à améliorer les performances du système pouratteindre la résolution d’une seule molécule. En effet dans le but d’étudier les phénomènesd’interactions au niveau moléculaire, il s’avère essentiel d’améliorer le système. Dans cebut précis, une commande par retour d’état de la micropince est étudiée. Elle permetalors de spécifiquement sensibiliser le système aux variations de raideur mécanique dusystème {micropince + molécules d’ADN}.[...]
The main objective of this Ph.D. work is to achieve biological experimentson DNA molecules with versatile silicon nanotweezers. Experiments on single moleculerely mostly on Optical Tweezers, Magnetic Tweezers or Atomic Force Spectroscopy, buthave a low throughput since preparations are done one at a time. To move towardssystematic biological or medical analysis, micro- and nano-systems (MNEMS) are theappropriate tools as they can integrate accurate molecular level engineering tools andcan be cheaply produced with highly parallel process.Design and fabrication of the silicon tweezers are made by ourselves in the lab of Pr.Hiroyuki Fujita (U. of Tokyo, Japan). DNA molecules are firstly trapped in solution bydielectrophoresis. Then biological reactions are characterized in real-time by monitoringthe mechanical resonance of the system {tweezers + DNA bundle}. The resolution of themeasurements allowed the sensing of about 30 of λ-DNA molecule stiffness (i.e. about20 mN/m). To achieve the single molecule resolution, we propose to implement a feedbackstrategy to alter the system.State feedback was developed to emulate a new system more sensitive to mechanicalstiffness parameter detection. As it remains problematic to design and fabricate newmicro mechanical device with extremely low stiffness (< 1 N/m), we propose to emulate acompliant system. By simulations it was demonstrated an enhancement of the sensitivityof about 10 when the resonant frequency of the closed-loop system is designed to be 10times lower than the tweezers resonant frequency (i.e. reducing the stiffness parameterof the system). Experimentally we demonstrated an improvement of the the sensitivityof superior to 2. However the issue is here to obtain stability, robustness with respectto disturbances and unmodeled dynamics. Before to attain the sensitivity of the singlemolecule, problematics about the model of the device or about the several dynamics ofthe device needs to be dealt in order to control and fit the improvement with the theory
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48

Kocak, Elif. "Control Law Partitioning Applied To Beam And Ball System." Master's thesis, METU, 2008. http://etd.lib.metu.edu.tr/upload/12609564/index.pdf.

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In this thesis different control methods are applied to the beam and ball system. Test setup for the previous thesis is handled, circuit assemblies and hardware redesigned. As the system is controlled by the control law partitioning method by a computer, discrete time system model is created. The controllability and the observability of the system are analyzed and a nonlinear controller by using control law partitioning in other words computed torque is designed. State feedback control algorithm previously designed is repeated. In case of calculating the non measurable state variables two different reduced order observers are designed for these two different controllers, one for control law partitioning controller and the other for state-feedback controller. Two controller methods designed for the thesis study are tested in the computer environment using modeling and simulation tools (Also a different controller by using sliding mode controller is designed and tested in the computer environment using simulation tools). A controller software program is written for the designed controller algorithms and this software is tested on the test setup. It is observed that the system is stable when we apply either of the control algorithms.
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49

Caliskan, Hakan. "Modeling And Experimental Evaluation Of Variable Speed Pump And Valve Controlled Hydraulic Servo Drives." Master's thesis, METU, 2009. http://etd.lib.metu.edu.tr/upload/3/12611090/index.pdf.

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In this thesis study, a valveless hydraulic servo system controlled by two pumps is investigated and its performance characteristics are compared with a conventional valve controlled system both experimentally and analytically. The two control techniques are applied on the position control of a single rod linear actuator. In the valve controlled system, the flow rate through the actuator is regulated with a servovalve
whereas in the pump controlled system, two variable speed pumps driven by servomotors regulate the flow rate according to the needs of the system, thus eliminating the valve losses. To understand the dynamic behaviors of two systems, the order of the differential equations defining the system dynamics of the both systems are reduced by using the fact that the dynamic pressure changes in the hydraulic cylinder chambers become linearly dependent on leakage coefficients and cylinder chamber volumes above and below some prescribed cut off frequencies. Thus the open loop speed response of the pump controlled and valve controlled systems are defined by v second order transfer functions. The two systems are modeled in MATLAB Simulink environment and the assumptions are validated. For the position control of the single rod hydraulic actuator, a linear state feedback control scheme is applied. Its state feedback gains are determined by using the linear and linearized reduced order dynamic system equations. A linear Kalman filter for pump controlled system and an unscented Kalman filter for valve controlled system are designed for estimation and filtering purposes. The dynamic performances of both systems are investigated on an experimental test set up developed by conducting open loop and closed loop frequency response and step response tests. MATLAB Real Time Windows Target (RTWT) module is used in the tests for application purposes.
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50

Cardenas, Lucena Carolina. "Contribución al control geométrico de sistemas de eventos discretos en el álgebra max-plus." Electronic Thesis or Diss., Ecole centrale de Nantes, 2016. http://www.theses.fr/2016ECDN0004.

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Le travail présenté s'inscrit dans le contexte de la théorie des systèmes linéaires dans les dioïdes. La motivation initiale de cette étude a été de contribuer à l'analyse et la commande de systèmes linéaires dans max-plus en utilisant spécifiquement une approche géométrique. La contribution de cette thèse est centrée sur deux problèmes. La première partie est dédiée à l'étude de la relation entre les notions d'invariance contrôlée et d'invariance contrôlée par retour d'état dynamique dans un semi-anneau. Cette relation permet de montrer l'équivalence de ces deux notions. La deuxième partie concerne un problème original dans la théorie des systèmes linéaires dans max-plus, il s'agit de la synthèse d'une loi de commande par retour d'état, qui permette de satisfaire un ensemble de spécifications exprimées sous la forme de restrictions sur l'état du système, avec une approche géométrique. Il s'agit plus précisément de commander des systèmes à événements discrets décrits par un modèle linéaire dans max-plus. Nous définissons et caractérisons l'ensemble des conditions initiales admissibles, lesquelles sont à l'origine de solutions non décroissantes. Les restrictions temporelles imposées à l'espace d'état du système sont décrites par le semi-module défini par l'image de l'étoile de Kleene de la matrice associée aux restrictions temporelles. Les propriétés géométriques de ce semi-module permettant de garantir que l'évolution du système en boucle fermée satisfasse les restrictions sont étudiées. Des conditions suffisantes concernant l'existence d'une loi de commande causale par retour d'état statique sont présentées. Le calcul des lois de commande causales est également présenté. Pour illustrer l'application de cette approche, deux problèmes de commande sont présentés
This work is in the context of the theory of linear Systems in the dioids. The initial motivation of this study was to contribute to the analysis and control of max-plus linear systems, specifically using a geometric approach. The contribution of this thesis focuses on two issues. The first part is dedicated to study of the relationship between the concepts of controlled invariance and dynamic state feedback controlled invariance in a semi-ring. This relationship allows us to show the equivalence of these two concepts. The second part relates to a new problem in the theory of max-plus linear systems, it is the synthesis, with a geometric approach, of a static state feedback control law, in order to satisfy a set of specifications that apply to the state space of the system. This is specifically to control of discrete event systems described by a linear model in max-plus. We define and characterize the set of admissible initial conditions, which are the cause of non-decreasing solutions. Temporal restrictions on the system state space are described by the semi-module defined by the image of the Kleene star of the matrix associated with time restrictions. The geometric properties of this semi-module are studied. Sufficient conditions for the existence of a causal control law by static feedback are presented. Calculating causal control laws is also presented. To illustrate the application of this approach, two control problems are presented
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