Journal articles on the topic 'Gaussian linear control systems with feedback'

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1

Chang, R. J. "Optimal Linear Feedback Control for a Class of Nonlinear Nonquadratic Non-Gaussian Problems." Journal of Dynamic Systems, Measurement, and Control 113, no. 4 (December 1, 1991): 568–74. http://dx.doi.org/10.1115/1.2896459.

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An optimal linear feedback controller designed for a class of nonlinear stochastic systems with nonquadratic performance criteria by a non-Gaussian approach is presented. The non-Gaussian method is developed through expressing the unknown stationary output density function as a weighted sum of the Gaussian densities with undetermined parameters. With the aid of a Gaussian-sum density, the optimal feedback gain for a control system with complete state information is derived. By assuming that the separation principle is valid for the class of stochastic systems, a nonlinear precomputed-gain filter is then implemented. The method is illustrated by a Duffing-type control system and the performance of a linear feedback controller designed through both quadratic and nonquadratic performance indices is compared.
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2

Cacace, Filippo, Francesco Conte, Massimiliano d’Angelo, and Alfredo Germani. "Feedback polynomial filtering and control of non-Gaussian linear time-varying systems." Systems & Control Letters 123 (January 2019): 108–15. http://dx.doi.org/10.1016/j.sysconle.2018.11.004.

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3

Liu, Qing-Quan, and Fang Jin. "LQG Control of Networked Control Systems with Limited Information." Mathematical Problems in Engineering 2014 (2014): 1–12. http://dx.doi.org/10.1155/2014/206391.

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This paper addresses linear quadratic Gaussian (LQG) control problems for multi-input multioutput (MIMO), linear time-invariant (LTI) systems, where the sensors and controllers are geographically separated and connected via a digital communication channel with limited data rates. An observer-based, quantized state feedback control scheme is employed in order to achieve the minimum data rate for mean square stabilization of the unstable plant. An explicit expression is presented to state the tradeoff between the LQ cost and the data rate. Sufficient conditions on the data rate for mean square stabilization are derived. An illustrative example is given to demonstrate the effectiveness of the proposed scheme.
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4

Liu, Qing Quan. "Observer-Based Quantized Feedback Control via Noisy Communication Channels." Advanced Materials Research 433-440 (January 2012): 6242–49. http://dx.doi.org/10.4028/www.scientific.net/amr.433-440.6242.

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This paper investigates the input and output quantized control problem for stochastic linear systems with unbounded and possibly non-Gaussian process disturbance, where sensors, controllers and plants are connected by a noisy digital communication channel. Due to the unbounded process disturbance, a dynamic, logarithmic quantization scheme is proposed. An observer-based control policy is presented to stabilize the unstable plant in the mean square sense. Simulation results show the validity of the proposed quantization and control policy.
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5

Scruggs, Jeff T., Ian L. Cassidy, and Sam Behrens. "Multi-objective optimal control of vibratory energy harvesting systems." Journal of Intelligent Material Systems and Structures 23, no. 18 (May 6, 2012): 2077–93. http://dx.doi.org/10.1177/1045389x12443015.

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This article examines the use of actively controlled electronics to maximize the energy harvested from a stationary stochastic disturbance. In prior work by the authors, it has been shown that when the harvester dynamics are linear and the transmission losses in the electronics are resistive, the optimal feedback controller is the solution to a nonstandard linear-quadratic-Gaussian optimal control problem. This article augments the theory in the following three distinct ways: (a) It illustrates how to use linear matrix inequalities to balance the objective of energy harvesting against other response control objectives (such as minimum requirements on closed-loop damping and maximum levels of voltage response), in the synthesis of the optimal feedback law; (b) it establishes a more realistic characterization of the transmission losses in the actively controlled power electronics used to regulate the extraction of power; and (c) it illustrates how the optimal control theory for resistive loss models can be extended to accommodate the more realistic loss models. The theory is illustrated in the context of a piezoelectric energy harvesting model, and an example is used to illustrate that the theory can be used to simultaneously optimize the feedback law, together with the switching frequency and storage bus voltage of the power electronics.
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6

Maity, Dipankar, and John S. Baras. "Minimal Feedback Optimal Control of Linear-Quadratic-Gaussian Systems: No Communication is also a Communication." IFAC-PapersOnLine 53, no. 2 (2020): 2201–7. http://dx.doi.org/10.1016/j.ifacol.2020.12.004.

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7

Ahmad, S. M., A. J. Chipperfield, and M. O. Tokhi. "Dynamic modelling and linear quadratic Gaussian control of a twin-rotor multi-input multi-output system." Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering 217, no. 3 (May 1, 2003): 203–27. http://dx.doi.org/10.1177/095965180321700304.

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This paper presents an investigation into the modelling and control of a one-degree-of-freedom (1 DOF) twin-rotor multi-input multi-output (MIMO) system (TRMS). The behaviour of the TRMS in certain aspects resembles that of a helicopter. Hence, it is an interesting identification and control problem. A dynamic model characterizing the TRMS in hover is extracted using a black-box system identification technique. The extracted model is employed in the design of a feedback linear quadratic Gaussian compensator, namely the stability augmentation system (SAS). This has a good tracking capability but requires high control effort and has inadequate authority over residual vibration of the system. These problems are resolved by further augmenting the system with a command path prefilter, resulting in the command and stability augmentation system (CSAS). The combined feedforward and feedback compensator satisfies the performance objectives and obeys the actuator constraint. The control law is implemented in realtime on the TRMS platform.
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8

Bai, Mingsian R., and Weibin Luo. "DSP Implementation of an Active Bearing Mount for Rotors Using Hybrid Control." Journal of Vibration and Acoustics 122, no. 4 (April 1, 2000): 420–28. http://dx.doi.org/10.1115/1.1287788.

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An on-line active technique for suppressing rotor vibration is proposed. Electromagnetic actuators are mounted on the housing of a ball bearing for generating counter forces to cancel the transverse vibrations due to imbalance, misalignment, and so forth. Controllers based on feedback structure, feedforward structure and hybrid structure are investigated. The multiple channel active control systems are implemented on the platform of a digital signal processor. Numerical simulation and experimental investigations indicate that the proposed methods are effective in suppressing the periodic disturbances. In particular, the hybrid control by using feedback linear quadratic gaussian control and feedforward least mean square algorithm with synthetic reference achieves the best performance in terms of vibration attenuation and convergence speed. [S0739-3717(00)00904-1]
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9

Derpich, Milan S., Matias Müller, and Jan Østergaard. "The Entropy Gain of Linear Systems and Some of Its Implications." Entropy 23, no. 8 (July 24, 2021): 947. http://dx.doi.org/10.3390/e23080947.

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We study the increase in per-sample differential entropy rate of random sequences and processes after being passed through a non minimum-phase (NMP) discrete-time, linear time-invariant (LTI) filter G. For LTI discrete-time filters and random processes, it has long been established by Theorem 14 in Shannon’s seminal paper that this entropy gain, (G), equals the integral of log|G|. In this note, we first show that Shannon’s Theorem 14 does not hold in general. Then, we prove that, when comparing the input differential entropy to that of the entire (longer) output of G, the entropy gain equals (G). We show that the entropy gain between equal-length input and output sequences is upper bounded by (G) and arises if and only if there exists an output additive disturbance with finite differential entropy (no matter how small) or a random initial state. Unlike what happens with linear maps, the entropy gain in this case depends on the distribution of all the signals involved. We illustrate some of the consequences of these results by presenting their implications in three different problems. Specifically: conditions for equality in an information inequality of importance in networked control problems; extending to a much broader class of sources the existing results on the rate-distortion function for non-stationary Gaussian sources, and an observation on the capacity of auto-regressive Gaussian channels with feedback.
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10

Nelson, R., B. Protas, and T. Sakajo. "Linear feedback stabilization of point-vortex equilibria near a Kasper wing." Journal of Fluid Mechanics 827 (August 18, 2017): 121–54. http://dx.doi.org/10.1017/jfm.2017.484.

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This paper concerns feedback stabilization of point-vortex equilibria above an inclined thin plate and a three-plate configuration known as the Kasper wing in the presence of an oncoming uniform flow. The flow is assumed to be potential and is modelled by the two-dimensional incompressible Euler equations. Actuation has the form of blowing and suction localized on the main plate and is represented in terms of a sink–source singularity, whereas measurement of pressure across the plate serves as system output. We focus on point-vortex equilibria forming a one-parameter family with locus approaching the trailing edge of the main plate and show that these equilibria are either unstable or neutrally stable. Using methods of linear control theory we find that the system dynamics linearized around these equilibria is both controllable and observable for almost all actuator and sensor locations. The design of the feedback control is based on the linear–quadratic–Gaussian (LQG) compensator. Computational results demonstrate the effectiveness of this control and the key finding of this study is that Kasper wing configurations are in general not only more controllable than their single-plate counterparts, but also exhibit larger basins of attraction under LQG feedback control. The feedback control is then applied to systems with additional perturbations added to the flow in the form of random fluctuations of the angle of attack and a vorticity shedding mechanism. Another important observation is that, in the presence of these additional perturbations, the control remains robust, provided the system does not deviate too far from its original state. Furthermore, except in a few isolated cases, introducing a vorticity-shedding mechanism enhanced the effectiveness of the control. Physical interpretation is provided for the results of the controllability and observability analysis as well as the response of the feedback control to different perturbations.
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11

Cetinkunt, Sabri, and Sijun Wu. "Discrete-Time Tip Position Control of a Flexible One Arm Robot." Journal of Dynamic Systems, Measurement, and Control 114, no. 3 (September 1, 1992): 428–35. http://dx.doi.org/10.1115/1.2897365.

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A predictive adaptive control algorithm is developed for tip position control based on the zero-order-hold equivalence of the nondimensionalized dynamic model of a flexible robot arm. A lattice filter is utilized for the purpose of parameter identification. The proposed control scheme provides an optimal output feedback control and, together with the lattice filter parameter identifier, it forms a special self-tuning regulator. It is then compared with other methods, such as linear quadratic Gaussian and stable factorization. A stability criterion for this control algorithm is also presented. The effects of the actuator dynamics on the overall system response and stability are investigated. Actuator dynamics model parameters are chosen from the actual specifications provided by manufacturers.
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12

Lee, C. S., F. B. Hsiao, and S. S. Jan. "Design and implementation of linear-quadratic-Gaussian stability augmentation autopilot for unmanned air vehicle." Aeronautical Journal 113, no. 1143 (May 2009): 275–90. http://dx.doi.org/10.1017/s0001924000002955.

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Abstract The linear-quadratic-Gaussian (LQG) control synthesis has the advantage of dealing with the uncertain linear systems disturbed by additive white Gaussian noise while having incomplete system state information available for control-loop feedback. This paper hence explores the feasibility of designing and implementing a stability augmentation autopilot for fixed-wing unmanned air vehicles using the LQG approach. The autopilot is composed of two independently designed LQG controllers which control the longitudinal and lateral motions of the aircraft respectively. The corresponding linear models are obtained through a system identification routine which makes use of the combination of two well-established identification methods, namely the subspace method and prediction error method. The two identification methods complement each other well and this paper shows that the proposed system identification scheme is capable of attaining satisfactory state-space models. A complete autopilot design procedure is devised and it is shown that the design process is simple and effective. Resulting longitudinal and lateral controllers are successfully verified in computer simulations and actual flight tests. The flight test results are presented in the paper and they are found to be consistent with the simulation results.
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13

Kadhem, Basim. "Using a Reduced Order Robust Control Approach to Damp Subsynchronous Resonance in Power Systems." Iraqi Journal for Electrical and Electronic Engineering 19, no. 1 (December 1, 2022): 29–37. http://dx.doi.org/10.37917/ijeee.19.1.4.

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his work focuses on the use of the Linear Quadratic Gaussian (LQG) technique to construct a reliable Static VAr Compensator (SVC), Thyristor Controlled Series Compensator (TCSC), and Excitation System controller for damping Subsynchronous Resonance ( SSR ) in a power system. There is only one quantifiable feedback signal used by the controller (generator speed deviation). It is also possible to purchase this controller in a reduced-order form. The findings of the robust control are contrasted with those of the “idealistic” full state optimal control. The LQG damping controller’s regulator robustness is then strengthened by the application of Loop Transfer Recovery (LTR). Nonlinear power system simulation is used to confirm the resilience of the planned controller and demonstrates how well the regulator dampens power system oscillations. The approach dampens all torsional oscillatory modes quickly while maintaining appropriate control actions, according to simulation results.
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14

He, Ye, Xiaoan Chen, Zhi Liu, and Yi Chen. "Active vibration control of motorized spindle based on mixed H∞/Kalman filter robust state feedback control." Journal of Vibration and Control 25, no. 6 (January 3, 2019): 1279–93. http://dx.doi.org/10.1177/1077546318820935.

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In its working process, a high-speed motorized spindle bearing-rotor system is affected by a variety of vibration excitations, which severely affect the machining precision and reliability. In view of the problems in the active vibration control of current smart-material-based bearing-rotor systems and based on the structural layout of a piezoelectric device and a controlled bearing-rotor system, a bearing was directly connected to a piezoelectric actuator via a sleeve, which improved the working efficiency of the piezoelectric stack actuator. Furthermore, to improve the robustness of the system’s vibration control performance under different external excitations (e.g., cutting force and mass unbalance), uncertainties in internal parameters (changes in bearing stiffness and stiffness nonlinearity of piezoelectric materials), process and measure noises, a mixed state feedback algorithm based on [Formula: see text] norm optimization and a Kalman filter observer with state disturbance estimation was established. The dynamic and robust performance of the proposed method was compared with that of the linear quadratic Gaussian optimal control methods and [Formula: see text] output feedback control method through both simulation and experiment by changing the piezoelectric stacks without changing the control program.
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15

Arantes, Gilberto, Luiz S. Martins-Filho, and Adrielle C. Santana. "Optimal On-Off Attitude Control for the Brazilian Multimission Platform Satellite." Mathematical Problems in Engineering 2009 (2009): 1–17. http://dx.doi.org/10.1155/2009/750945.

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This work deals with the analysis and design of a reaction thruster attitude control for the Brazilian Multimission platform satellite. The three-axis attitude control systems are activated in pulse mode. Consequently, a modulation of the torque command is compelling in order to avoid high nonlinear control action. This work considers the Pulse-Width Pulse-Frequency (PWPF) modulator which is composed of a Schmidt trigger, a first-order filter, and a feedback loop. PWPF modulator holds several advantages over classical bang-bang controllers such as close to linear operation, high accuracy, and reduced propellant consumption. The Linear Gaussian Quadratic (LQG) technique is used to synthesize the control law during stabilization mode and the modulator is used to modulate the continuous control signal to discrete one. Numerical simulations are used to analyze the performance of the attitude control. The LQG/PWPF approach achieves good stabilization-mode requirements as disturbances rejection and regulation performance.
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16

Shanin, Yu I., and A. V. Chernykh. "Automatic Control Systems for Adaptive Optical Systems: Analytical Review. Part 1: Adaptive Optical System Control of Onboard Laser Installations." Mechanical Engineering and Computer Science, no. 3 (April 8, 2018): 51–68. http://dx.doi.org/10.24108/0318.0001341.

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The first part of the analytical review presents an introduction to automatic control systems (ACS) for the adaptive optical systems (AOS) and control of tip-tilt correctors to eliminate a laser beam jitter. Considers a composition and a purpose of the AOS basic components. Also gives the AOS schemes to be used to form the sharper object images and focus radiation on a target when propagating a laser beam in a turbulent atmosphere. Briefly discusses the general issues of the AOS control, namely single-channel and multichannel linear control, bandwidth limitations of the control system, and possible signal paths in ACS of AOS.The article in-detail describes a path of the harmonic signal through the units of the feedback control loop as applied to the plane mirror of a two-channel corrector of the wave front tip-tilt. Provides guidelines to select the minimum quantization time for a propagating digital signal.Considers the certain problems of constructing ACS to be applied to AOS of the on-board laser installations. A simulated installation model where light passes through a turbulent atmosphere allowed us to develop a linear quadratic Gaussian controller (LQG-controller). Using this controller the optimal control (i.e. minimizing the dispersion of the output signal measured) with good robustness of the tip-tilt corrector is carried out.The concluding part of the review presents the certain research results of the AOS control when compensating the laser radiation wave front perturbations caused both by an aero-optical problem, arising when radiation propagates near the walls of an aircraft and by an atmospheric turbulence of free airflow. The influence of a small time delay (within one sampling step), when transmitting a control signal, on the control system operability was under special consideration.
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17

Mamduhi, Mohammad H., Jaya Prakash Champati, James Gross, and Karl H. Johansson. "Where Freshness Matters in the Control Loop: Mixed Age-of-Information and Event-Based Co-Design for Multi-Loop Networked Control Systems." Journal of Sensor and Actuator Networks 9, no. 3 (September 21, 2020): 43. http://dx.doi.org/10.3390/jsan9030043.

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In the design of multi-loop Networked Control Systems (NCSs), wherein each control system is characterized by heterogeneous dynamics and associated with a certain set of timing specifications, appropriate metrics need to be employed for the synthesis of control and networking policies to efficiently respond to the requirements of each control loop. The majority of the design approaches for sampling, scheduling, and control policies include either time-based or event-based metrics to perform pertinent actions in response to the changes of the parameters of interest. We specifically focus in this article on Age-of-Information (AoI) as a recently-developed time-based metric and threshold-based triggering function as a generic Event-Triggered (ET) metric. We consider multiple heterogeneous stochastic linear control systems that close their feedback loops over a shared communication network. We investigate the co-design across the NCS and discuss the pros and cons with the AoI and ET approaches in terms of asymptotic control performance measured by Linear-Quadratic Gaussian (LQG) cost functions. In particular, sampling and scheduling policies combining AoI and stochastic ET metrics are proposed. It is argued that pure AoI functions that generate decision variables solely upon minimizing the average age irrespective of control systems dynamics may not be able to improve the overall NCS performance even compared with purely randomized policies. Our theoretical analysis is validated through several simulation scenarios.
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18

DONG, X. M., MIAO YU, S. L. HUANG, ZUSHU LI, and W. M. CHEN. "HALF CAR MAGNETORHEOLOGICAL SUSPENSION SYSTEM ACCOUNTING FOR NONLINEARITY AND TIME DELAY." International Journal of Modern Physics B 19, no. 07n09 (April 10, 2005): 1381–87. http://dx.doi.org/10.1142/s0217979205030335.

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MR suspension systems have significant non-linearity and time-delay characteristics. For this reason, linear feedback control of an MR suspension has limited vibration control performance. To address this problem, a four DOF half car suspension model with two MR dampers was adopted. Having analyzed non-linearity and time-delay of the MR suspension, a Human-Simulation Intelligent Control (HSIC) law with three levels was designed. Simulation verified effects of HSIC in solving the problem of non-linearity and time-delay of MR dampers. In comparison, simulation of linear-quadratic gaussian (LQG) without considering the non-linearity and time-delay of MR suspension is also made. The simulation results show that the HSIC controller is faster than LQG controller under bump input and has better stability and accuracy, and it can achieve smaller acceleration peak value and root mean square (RMS) and better ride comfort compared with LQG controller under random input.
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19

Bao, Cheng, Kexun Zhang, Minggao Ouyang, Baolian Yi, and Pingwen Ming. "Dynamic Test and Real-time Control Platform of Anode Recirculation for PEM Fuel Cell Systems." Journal of Fuel Cell Science and Technology 3, no. 3 (February 21, 2006): 333–45. http://dx.doi.org/10.1115/1.2217956.

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Anode recirculation is essential to the pure-hydrogen proton exchange membrane fuel cell system. Keeping the pressure difference between the anode and the cathode is also important to the membrane health. In this paper, a dynamic platform was designed for the recirculation test of injection pump and real-time control of the anode pressure tracking. The test bench can work in a wide range of conditions for high- and low-pressure application. Based on the MATLAB/xPC Target environment, some S functions were written to drive the PC board for the hardware-in-loop application. Then an analytical full-order and a reduced-order model were built with good accuracy. By linearization of the nonlinear dynamic model, a linear quadratic Gaussian algorithm based on state feedback was used for set-point tracking. Moreover, an adaptive fuzzy neural network with an on-line neural network identifier was also designed to improve the control robustness. The foundation of the test bench and realization of the real-time control algorithms are meaningful to the future application in fuel cell systems.
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20

Capligins, Filips, Anna Litvinenko, Deniss Kolosovs, Maris Terauds, Maris Zeltins, and Dmitrijs Pikulins. "FPGA-Based Antipodal Chaotic Shift Keying Communication System." Electronics 11, no. 12 (June 14, 2022): 1870. http://dx.doi.org/10.3390/electronics11121870.

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The current work presents a novel digital chaotic communication system with antipodal chaotic shift keying modulation, implemented in a field-programmable gate array (FPGA). Such systems provide high security on the physical communication level and can be used in wireless sensor network systems. A modified Chua circuit chaos generator and error linear feedback chaotic synchronization are implemented in FPGA and used to develop a chaotic communication system with digital transmitter and receiver an analog in-between signal transmission. Additionally, a validated mathematical model of the communication system prototype is created in the Simulink environment, which is used to compare the performance of the prototype and its nodes with the simulation and simplify its development. The performance is evaluated using simulation with the additive white Gaussian noise channel and analyzing the bit error ratio.
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21

Yen, Jia-Yush, Kurt Hallamasek, and Roberto Horowitz. "Track-Following Controller Design for a Compound Disk Drive Actuator." Journal of Dynamic Systems, Measurement, and Control 112, no. 3 (September 1, 1990): 391–402. http://dx.doi.org/10.1115/1.2896156.

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The use of compound actuators in both magnetic and optical disk files has become a means of achieving increased servo actuator bandwidths. A compound actuator, comprised of a fine actuator mounted “piggyback” on a coarse actuator, positions the read/write transducers above a radial track. This paper describes a design methodology for a discrete-time feedback control system for a compound actuator in which the dynamic interaction between the actuator stages is directly considered. The performance of the servosystem, including the range and bandwith limitations of each actuator, is specified in terms of the desired frequency response of the closed-loop transfer functions from the reference track position to the tracking error and to the relative position between the coarse and the fine actuator. Parameter uncertainties and structural resonances are quantified using singular value techniques to form a robustness criterion which sets limits on the attainable tracking performance. Compensator design techniques using linear-quadratic Gaussian optimal control combined with loop transfer recovery are described. The state feedback portion of the compensator is calculated using an automatic procedure, while the state estimator is calculated by solving an associated Kalman filtering problem with colored fictitious noise. The noise is colored to shape the frequency spectrum of the input energy to each actuator, the relative motion between the stages, and the position of the transducer.
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22

Semeraro, Onofrio, Jan O. Pralits, Clarence W. Rowley, and Dan S. Henningson. "Riccati-less approach for optimal control and estimation: an application to two-dimensional boundary layers." Journal of Fluid Mechanics 731 (August 15, 2013): 394–417. http://dx.doi.org/10.1017/jfm.2013.352.

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AbstractThe control of Tollmien–Schlichting waves in a two-dimensional boundary layer is analysed using numerical simulations. Full-dimensional optimal controllers are used in combination with a setup of spatially localized inputs (actuator and disturbance) and outputs (sensors). The adjoint of the direct-adjoint (ADA) algorithm, recently proposed by Pralits & Luchini (In Seventh IUTAM Symposium on Laminar–Turbulent Transition (ed. P. Schlatter & D. S. Henningson), vol. 18, 2010, Springer), is used to efficiently compute an optimal controller known as a linear quadratic regulator; the method is iterative and allows one to bypass the solution of the corresponding Riccati equation, which is infeasible for high-dimensional systems. We show that an analogous iteration can be made for the estimation problem; the dual algorithm is referred to as adjoint of the adjoint-direct (AAD). By combining the solutions of the estimation and control problem, full-dimensional linear quadratic Gaussian controllers are obtained and used for the attenuation of the disturbances arising in the boundary layer flow. The full-dimensional controllers turn out to be an excellent benchmark for evaluating the performance of the optimal control/estimation design based on reduced-order models. We show under which conditions the two strategies are in perfect agreement by focusing on the issues arising when feedback configurations are considered. An analysis of the finite-amplitude disturbances is also carried out by addressing the limitations of the optimal controllers, the role of the estimation, and the robustness to the nonlinearities arising in the flow of the control design.
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23

Tayebi, Javad, Amir Ali Nikkhah, and Jafar Roshanian. "LQR/LQG attitude stabilization of an agile microsatellite with CMG." Aircraft Engineering and Aerospace Technology 89, no. 2 (March 6, 2017): 290–96. http://dx.doi.org/10.1108/aeat-07-2014-0102.

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Purpose The purpose of the paper is to design a new attitude stabilization system for a microsatellite based on single gimbal control moment gyro (SGCMG) in which the gimbal rates are selected as controller parameters. Design/methodology/approach In the stability mode, linear quadratic regulator (LQR) and linear quadratic Gaussian (LQG) control strategies are presented with the gimbal rates as a controller parameters. Instead of developing a control torque to solve the attitude problem, the attitude controller is developed in terms of the control moment gyroscope gimbal angular velocities. Attitude control torques are generated by means of a four SGCMG pyramid cluster. Findings Numerical simulation results are provided to show the efficiency of the proposed controllers. Simulation results show that this method could stabilize satellite from initial condition with large angles and with more accuracy in comparison with feedback quaternion and proportional-integral-derivative controllers. These results show the effect of filtering the noisy signal in the LQG controller. LQG in comparison to LQR is more realistic. Practical implications The LQR method is more appropriate for the systems that have project models reasonably exact and ideal sensors/actuators. LQG is more realistic, and it can be used when not all of the states are available or when the system presents noises. LQR/LQG controller can be used in the stabilization mode of satellite attitude control. Originality/value The originality of this paper is designing a new attitude stabilization system for an agile microsatellite using LQR and LQG controllers.
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Qi, Ruolong, Yuangui Tang, and Ke Zhang. "On-line self-calibration method for unattended manipulators based on Gaussian motion model and visual system." Industrial Robot: the international journal of robotics research and application 48, no. 2 (January 6, 2021): 300–312. http://dx.doi.org/10.1108/ir-03-2020-0057.

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Purpose For some special manipulators such as the ones work at the space station, nuclear or some other unmanned environments, the overload, collision, vibration, temperature change or release of the internal stress would affect the structural parameters. And thus the operation precision might constantly decrease in long-term use. In these unmanned environments, the unattended manipulators should calibrate itself when they execute high precision operations or proceed self-maintenances. The purpose of this paper is to propose an automatic visual assistant on-line calibration (AVOC) method based on multi-markers. Design/methodology/approach A camera fixed on the end of the manipulator is used to measure one to three identification points, which forms an unstable multi-sensor eye-in-hand system. A Gaussian motion method which combines the linear quadratic regulator control and extended Kalman filter together is proposed to make the manipulator track the planned trajectories when its inaccurate structural parameters form uncertain motion errors. And a Monte-Carlo method is proposed to form a high precision and stable signal acquisition when the visual system has measurement errors and intermittent signal feedback. An automatic sampling process is adopted to select the optimal measurement points basing on their variances. Findings Data analysis and experiment results prove the efficiency and feasibility of the method proposed in this paper. With this method, the positioning accuracy is largely promoted from about 2 mm to 0.04–0.05 mm. Originality/value Experiments were carried out successfully on a manipulator in a life sciences glove box that will work at the Chinese space station. It is a low cost and efficient manipulator calibration method. The whole autonomic calibration process takes less than 10 min and requires no human intervention. In addition, this method not only can be used in the calibration of other unmanned articulated manipulator that works in deep ocean, nuclear industry or space but also be useful for the maintenance work in modern factories owing a lot of industrial robots.
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Dai, Xili, Shengbang Tong, Mingyang Li, Ziyang Wu, Michael Psenka, Kwan Ho Ryan Chan, Pengyuan Zhai, et al. "CTRL: Closed-Loop Transcription to an LDR via Minimaxing Rate Reduction." Entropy 24, no. 4 (March 25, 2022): 456. http://dx.doi.org/10.3390/e24040456.

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This work proposes a new computational framework for learning a structured generative model for real-world datasets. In particular, we propose to learn a Closed-loop Transcriptionbetween a multi-class, multi-dimensional data distribution and a Linear discriminative representation (CTRL) in the feature space that consists of multiple independent multi-dimensional linear subspaces. In particular, we argue that the optimal encoding and decoding mappings sought can be formulated as a two-player minimax game between the encoder and decoderfor the learned representation. A natural utility function for this game is the so-called rate reduction, a simple information-theoretic measure for distances between mixtures of subspace-like Gaussians in the feature space. Our formulation draws inspiration from closed-loop error feedback from control systems and avoids expensive evaluating and minimizing of approximated distances between arbitrary distributions in either the data space or the feature space. To a large extent, this new formulation unifies the concepts and benefits of Auto-Encoding and GAN and naturally extends them to the settings of learning a both discriminative and generative representation for multi-class and multi-dimensional real-world data. Our extensive experiments on many benchmark imagery datasets demonstrate tremendous potential of this new closed-loop formulation: under fair comparison, visual quality of the learned decoder and classification performance of the encoder is competitive and arguably better than existing methods based on GAN, VAE, or a combination of both. Unlike existing generative models, the so-learned features of the multiple classes are structured instead of hidden: different classes are explicitly mapped onto corresponding independent principal subspaces in the feature space, and diverse visual attributes within each class are modeled by the independent principal components within each subspace.
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26

Polyak, B. T., M. V. Khlebnikov, and P. S. Shcherbakov. "Sparse feedback in linear control systems." Automation and Remote Control 75, no. 12 (December 2014): 2099–111. http://dx.doi.org/10.1134/s0005117914120029.

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27

Johnson, R., and M. Nerurkar. "Feedback Control for Linear Chaotic Systems." IFAC Proceedings Volumes 25, no. 21 (September 1992): 272–73. http://dx.doi.org/10.1016/s1474-6670(17)49769-2.

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28

GRIFFITHS†, BARRY E., and KENNETH A. LOPARO. "Optimal control of jump-linear gaussian systems†." International Journal of Control 42, no. 4 (October 1985): 791–819. http://dx.doi.org/10.1080/00207178508933397.

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29

Song, Xinmin, and Xuehua Yan. "Linear quadratic Gaussian control for linear time-delay systems." IET Control Theory & Applications 8, no. 6 (April 17, 2014): 375–83. http://dx.doi.org/10.1049/iet-cta.2013.0400.

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30

Zhu, Yang, Miroslav Krstic, Hongye Su, and Chao Xu. "Linear backstepping output feedback control for uncertain linear systems." International Journal of Adaptive Control and Signal Processing 30, no. 8-10 (February 10, 2015): 1080–98. http://dx.doi.org/10.1002/acs.2542.

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31

AZARFAR, Azita, Heydar Toossian SHANDIZ, and Masoud SHAFIEE. "Adaptive feedback control for linear singular systems." TURKISH JOURNAL OF ELECTRICAL ENGINEERING & COMPUTER SCIENCES 22 (2014): 132–42. http://dx.doi.org/10.3906/elk-1207-55.

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32

ŻAKJ, STANISLAW H., and CARL A. MACCARLEY. "State-feedback control of non-linear systems†." International Journal of Control 43, no. 5 (May 1986): 1497–514. http://dx.doi.org/10.1080/00207178608933554.

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33

Zhang, Junfeng, Fubo Zhu, Zhengzhi Han, and Jun Huang. "Feedback control for switched positive linear systems." IET Control Theory & Applications 7, no. 3 (February 14, 2013): 464–69. http://dx.doi.org/10.1049/iet-cta.2012.0428.

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34

Maslen, Eric, and Miles Townsend. "Stability Limits of Linear Feedback Control Systems." Journal of Dynamic Systems, Measurement, and Control 111, no. 2 (June 1, 1989): 138–41. http://dx.doi.org/10.1115/1.3153028.

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A new method is presented for determining the stability limits of open loop gains in linear feedback controlled systems. The method does not require finding the roots of multiple polynomials in k, the loop gain, as in the case of the commonly used algebraic Routh array technique. Instead, the roots of a single polynomial in s (the Laplace variable) of order at least one less than that of the system are evaluated to directly determine where the root locus crosses the imaginary axis.
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35

Feintuch, A., and B. A. Francis. "Uniformly optimal control of linear feedback systems." Automatica 21, no. 5 (September 1985): 563–74. http://dx.doi.org/10.1016/0005-1098(85)90005-6.

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36

Bourdache-Siguerdidjane, Houria, and Michel Fliess. "Optimal feedback control of non-linear systems." Automatica 23, no. 3 (May 1987): 365–72. http://dx.doi.org/10.1016/0005-1098(87)90009-4.

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37

KRIKELIS, N. J., and K. I. KIRIAKIDIS. "Optimal feedback control of non-linear systems." International Journal of Systems Science 23, no. 12 (December 1992): 2141–53. http://dx.doi.org/10.1080/00207729208949445.

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38

HAMMER, JACOB. "State feedback for non-linear control systems." International Journal of Control 50, no. 5 (November 1989): 1961–80. http://dx.doi.org/10.1080/00207178908953476.

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39

CHRISTODOULOU, MANOLIS A., and CAN ISIK. "Feedback control for non-linear singular systems." International Journal of Control 51, no. 2 (January 1990): 487–94. http://dx.doi.org/10.1080/00207179008934076.

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40

Fu, Minyue, and Lihua Xie. "Quantized feedback control for linear uncertain systems." International Journal of Robust and Nonlinear Control 20, no. 8 (May 13, 2009): 843–57. http://dx.doi.org/10.1002/rnc.1466.

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41

Weiss, George. "Regular linear systems with feedback." Mathematics of Control, Signals, and Systems 7, no. 1 (March 1994): 23–57. http://dx.doi.org/10.1007/bf01211484.

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42

Lin, Fu, and Shaunak D. Bopardikar. "Sparse Linear-Quadratic-Gaussian Control in Networked Systems." IFAC-PapersOnLine 50, no. 1 (July 2017): 10748–53. http://dx.doi.org/10.1016/j.ifacol.2017.08.2271.

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43

Yang, Ran, Cishen Zhang, and Lihua Xie. "Linear quadratic Gaussian control of 2-dimensional systems." Multidimensional Systems and Signal Processing 18, no. 4 (February 10, 2007): 273–95. http://dx.doi.org/10.1007/s11045-006-0016-6.

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44

Duncan, Tyrone E. "Linear-Exponential-Quadratic Gaussian Control." IEEE Transactions on Automatic Control 58, no. 11 (November 2013): 2910–11. http://dx.doi.org/10.1109/tac.2013.2257610.

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45

JANKOVIC, MRDJAN. "ADAPTIVE OUTPUT FEEDBACK CONTROL OF NON-LINEAR FEEDBACK LINEARIZABLE SYSTEMS." International Journal of Adaptive Control and Signal Processing 10, no. 1 (January 1996): 1–18. http://dx.doi.org/10.1002/(sici)1099-1115(199601)10:1<1::aid-acs383>3.0.co;2-z.

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46

Shingin, Hidenori, and Yoshito Ohta. "SNR Analysis for Linear Quadratic Control Over Gaussian Channels with Feedback." IFAC-PapersOnLine 50, no. 1 (July 2017): 6403–9. http://dx.doi.org/10.1016/j.ifacol.2017.08.1132.

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47

HOWITT, GEORGE D., and REIN LUUS. "Control of a collection of linear systems by linear state feedback control." International Journal of Control 58, no. 1 (July 1993): 79–96. http://dx.doi.org/10.1080/00207179308922992.

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48

Tang, Choon Yik, and Eduardo A. Misawa. "Discrete Variable Structure Control for Linear Multivariable Systems." Journal of Dynamic Systems, Measurement, and Control 122, no. 4 (April 29, 1998): 783–92. http://dx.doi.org/10.1115/1.1318944.

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This paper presents a state feedback discrete variable structure controller for robust tracking of linear multivariable systems with unmatched, additive uncertainties. Extension of the controller to output feedback using a prediction observer with bias estimation is also given. It is shown that the state feedback controller guarantees attractiveness and invariance of a boundary layer, while the output feedback controller does so after a transient. Unlike existing schemes, the controllers utilize a single sliding hyperplane regardless of the number of inputs. This attribute enables the development of a procedure that admits, under minor restrictions, direct application of well-established linear control strategies in the design of tracking error dynamics. A numerical example is used to illustrate the proposed controllers. [S0022-0434(00)01904-3]
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49

Rehman, Mutti-Ur, Jehad Alzabut, and Muhammad Fazeel Anwar. "Stability Analysis of Linear Feedback Systems in Control." Symmetry 12, no. 9 (September 15, 2020): 1518. http://dx.doi.org/10.3390/sym12091518.

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This article presents a stability analysis of linear time invariant systems arising in system theory. The computation of upper bounds of structured singular values confer the stability analysis, robustness and performance of feedback systems in system theory. The computation of the bounds of structured singular values of Toeplitz and symmetric Toeplitz matrices for linear time invariant systems is presented by means of low rank ordinary differential equations (ODE’s) based methodology. The proposed methodology is based upon the inner-outer algorithm. The inner algorithm constructs and solves a gradient system of ODE’s while the outer algorithm adjusts the perturbation level with fast Newton’s iteration. The comparison of bounds of structured singular values approximated by low rank ODE’s based methodology results tighter bounds when compared with well-known MATLAB routine mussv, available in MATLAB control toolbox.
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50

MARINO, RICCARDO. "High-gain feedback in non-linear control systems†." International Journal of Control 42, no. 6 (December 1985): 1369–85. http://dx.doi.org/10.1080/00207178508933431.

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