Relevant bibliographies by topics / Time delayed feedback control (TDFC)

Academic literature on the topic 'Time delayed feedback control (TDFC)'

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Published: 22 July 2024

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Journal articles on the topic "Time delayed feedback control (TDFC)"

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BANERJEE, TANMOY, and B. C. SARKAR. "CONVENTIONAL AND EXTENDED TIME-DELAYED FEEDBACK CONTROLLED ZERO-CROSSING DIGITAL PHASE LOCKED LOOP." International Journal of Bifurcation and Chaos 22, no. 12 (December 2012): 1230044. http://dx.doi.org/10.1142/s0218127412300443.

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This article investigates the effect of the conventional and extended time-delayed feedback control techniques of chaos control on a first-order positive zero-crossing digital phase locked loop (ZC1-DPLL) using local stability analysis, two-parameter bifurcation studies and two-parameter Lyapunov exponent spectrum. Starting from the nonlinear dynamics of a ZC1-DPLL, we at first explore the time-delayed feedback control (TDFC) algorithm on a ZC1-DPLL in the parameter space. A condition for the optimum value of the system control parameter is derived analytically for a TDFC based ZC1-DPLL. Next, the extended time-delayed feedback control (ETDFC) technique on a ZC1-DPLL is described. It is observed that the application of the delayed feedback control (DFC) technique on the sampled values of the incoming signal inside the loop finally results in the nonlinear DFC of the phase error dynamics. We prove that, for some suitably chosen control parameters, an ETDFC based ZC1-DPLL has a broader stability zone in comparison with a ZC1-DPLL and its TDFC version.
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ROBERT, B., H. H. C. IU, and M. FEKI. "ADAPTIVE TIME-DELAYED FEEDBACK FOR CHAOS CONTROL IN A PWM SINGLE PHASE INVERTER." Journal of Circuits, Systems and Computers 13, no. 03 (June 2004): 519–34. http://dx.doi.org/10.1142/s0218126604001568.

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Many power converters exhibit chaotic behaviors and bifurcations when conventional feedback corrector are badly tuned or when parameters vary. Time-Delayed Feedback Control (TDFC) can be used to stabilize them using a state feedback delayed by the period of the unstable orbit (UPO) to be stabilized. An obvious advantage of this method is the robustness because it does not require the knowledge of an accurate model but only the period of the target UPO. In this paper, TDFC is applied to a PWM current-programmed single phase inverter concurrently with a proportional corrector in order to avoid bifurcations and chaos and to stabilize the fundamental UPO over a widened range of application. Moreover an improvement of the dynamical performances is realized by defining an adaptive law for the TDFC.
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Erneux, T., G. Kozyreff, and M. Tlidi. "Bifurcation to fronts due to delay." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 368, no. 1911 (January 28, 2010): 483–93. http://dx.doi.org/10.1098/rsta.2009.0228.

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The stability of a steady-state front (kink) subject to a time-delayed feedback control (TDFC) is examined in detail. TDFC is based on the use of the difference between system variables at the current moment of time and their values at some time in the past. We first show that there exists a bifurcation to a moving front. We then investigate the limit of large delays but weak feedback and obtain a global bifurcation diagram for the propagation speed. Finally, we examine the case of a two-dimensional front with radial symmetry and determine the critical radius above which propagation is possible.
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Sun, Xiuting, Yipeng Qu, Feng Wang, and Jian Xu. "Effects of time-delayed vibration absorber on bandwidth of beam for low broadband vibration suppression." Applied Mathematics and Mechanics 44, no. 10 (September 30, 2023): 1629–50. http://dx.doi.org/10.1007/s10483-023-3038-6.

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AbstractThe effects of time-delayed vibration absorber (TDVA) on the dynamic characteristics of a flexible beam are investigated. First, the vibration suppression effect of a single TDVA on a continuous beam is studied. The first optimization criterion is given, and the results show that the introduction of time-delayed feedback control (TDFC) is beneficial to improving the vibration suppression at the anti-resonance band. When a single TDVA is used, the anti-resonance is located at a specific frequency by the optimum design of TDFC parameters. Then, in order to obtain low-frequency and broad bands for vibration suppression, multiple TDVAs are uniformly distributed on a continuous beam, and the relationship between the dynamic responses and the TDFC parameters is investigated. The obtained relationship shows that the TDVA has a significant regulatory effect on the vibration behavior of the continuous beam. The effects of the number of TDVAs and the nonlinearity on the bandgap variation are discussed. As the multiple TDVAs are applied, according to the different requirements on the location and bandwidth of the effective vibration suppression band, the optimization criteria for the TDFC parameters are given, which provides guidance for the applications of TDVAs in practical projects such as bridge and aerospace.
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ROBERT, B., M. FEKI, and H. H. C. IU. "CONTROL OF A PWM INVERTER USING PROPORTIONAL PLUS EXTENDED TIME-DELAYED FEEDBACK." International Journal of Bifurcation and Chaos 16, no. 01 (January 2006): 113–28. http://dx.doi.org/10.1142/s0218127406014629.

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Pulse width modulation (PWM) current-mode single phase inverters are known to exhibit bifurcations and chaos when parameters vary or if the gain of the proportional controller is arbitrarily increased. Our aim in this paper is to show, using control theory and numerical simulations, how to apply a method to stabilize the interesting periodic orbit for larger values of the proportional gain. To accomplish this aim, a time-delayed feedback controller (TDFC) is used in conjunction with the proportional controller in its simple form as well as in its extended form (ETDFC). The main advantages of those methods are the robustness and ease of construction because they do not require the knowledge of an accurate model but only the period of the target unstable periodic orbit (UPO). Moreover, to improve the dynamical performances, an optimal criterion and an adaptive law are defined to determine the control parameters.
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BANERJEE, TANMOY, BISHWAJIT PAUL, and B. C. SARKAR. "BIFURCATION, CHAOS AND THEIR CONTROL IN A TIME-DELAY DIGITAL TANLOCK LOOP." International Journal of Bifurcation and Chaos 23, no. 08 (August 2013): 1330029. http://dx.doi.org/10.1142/s0218127413300292.

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This paper reports the detailed parameter space study of the nonlinear dynamical behaviors and their control in a time-delay digital tanlock loop (TDTL). At first, we explore the nonlinear dynamics of the TDTL in parameter space and show that beyond a certain value of loop gain parameter the system manifests bifurcation and chaos. Next, we consider two variants of the delayed feedback control (DFC) technique, namely, the time-delayed feedback control (TDFC) technique, and its modified version, the extended time-delayed feedback control (ETDFC) technique. Stability analyses are carried out to find out the stable phase-locked zone of the system for both the controlled cases. We employ two-parameter bifurcation diagrams and the Lyapunov exponent spectrum to explore the dynamics of the system in the global parameter space. We establish that the control techniques can extend the stable phase-locked region of operation by controlling the occurrence of bifurcation and chaos. We also derive an estimate of the optimum parameter values for which the controlled system has the fastest convergence time even for a larger acquisition range. The present study provides a necessary detailed parameter space study that will enable one to design an improved TDTL system.
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Wang, Deli, Wei Xu, Zhicong Ren, and Haiqing Pei. "Maximal Lyapunov Exponents and Steady-State Moments of a VI System based Upon TDFC and VED." International Journal of Bifurcation and Chaos 29, no. 11 (October 2019): 1950155. http://dx.doi.org/10.1142/s0218127419501554.

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This paper focuses on the investigation of a vibro-impact (VI) system based upon time-delayed feedback control (TDFC) and visco-elastic damping (VED) under bounded random excitations. A pretreatment for the TDFC and VED is necessary. A further simplification for the system is achieved by introducing the mirror image transformation. The averaging approach is adopted to analyze the above system relying on a parametric principal resonance consideration. By means of the first kind of a modified Bessel function, explicit asymptotic formulas for the maximal Lyapunov exponent (MLE) are given to examine the almost sure stability or instability of the trivial steady-state amplitude solution. Besides, the steady-state moments (SSM) of the nontrivial solutions of the system’s amplitude are derived by the application of the moment method and Itô’s calculus. Finally, the stability and its critical situations of the trivial solution are explored in detail through the important system parameters, i.e. embodying the TDFC parameters, the VED parameters, the restitution coefficient, the excitation amplitude and the random noise intensity. They are tested by numerical simulations. Additionally, the exploration of the steady-state moments involves the emergence of the general frequency response curve and the frequency island, discussions of conditions satisfied by the unstable boundary, and variations of the time-delayed island. Stochastic jumps and bifurcations are observed for the stationary joint transition probability density of the system’s trivial and nontrivial solutions based on parameter schemes of VED and TDFC.
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Xiao, Jianli, Hanli Xiao, Xinchang Zhang, and Xiang You. "Stability, Bifurcation, and Chaos Control of Two-Sided Market Competition." International Journal of Computer Games Technology 2022 (August 17, 2022): 1–10. http://dx.doi.org/10.1155/2022/6006450.

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Benefitting from the popular uses of internet technologies, two-sided market has been playing an increasing prominent role in modern times. Users and developers can interact with each other through two-sided platforms. The two-sided market structure has been investigated profoundly. Through building a dynamics two-sided market model with bounded rational, stability conditions of the two-sided market competition system are presented. With the help of bifurcation diagram, Lyapunov exponent, and strange attractor, the stability of the two-sided market competition model is simulated. At last, we use the time-delayed feedback control (TDFC) method to control the chaos. Our main results are as follows: (1) when the adjustment speed of two-sided increases, the system becomes bifurcation, and chaos state happens finally. When the system is stable, the consumer fee is positive while developer fee is negative. (2) When the user externality increases, the stable area of the system increases, and the difference in user externality leads the whole system more stable. When the system is stable, the developer fee decreases. (3) The stable area becomes larger when developer externality increases; when the system is stable, the user fee becomes lower and developer fee becomes higher when developer externality increases. (4) The TDFC method is presented for controlling the chaos; we find that the system becomes more stable under the TDFC method.
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Arafa, Ayman A., Yong Xu, and Gamal M. Mahmoud. "Chaos Suppression via Integrative Time Delay Control." International Journal of Bifurcation and Chaos 30, no. 14 (November 2020): 2050208. http://dx.doi.org/10.1142/s0218127420502089.

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A general strategy for suppressing chaos in chaotic Burke–Shaw system using integrative time delay (ITD) control is proposed, as an example. The idea of ITD is that the feedback is integrated over a time interval. Physically, the chaotic system responds to the average information it receives from the feedback. The main feature of integrative is that the stability of the chaotic system occurs over a wider range of the space parameters. Controlling chaotic systems with ITD has not been discussed before as far as we know. Stability and the existence of Hopf bifurcation are studied which demonstrate that the switch stability occurs at critical values of the time delay. Employing the normal form theory and center manifold argument, an explicit formula is derived to determine the stability and the direction of the bifurcating periodic solutions. Numerically, the bifurcation diagram and the eigenvalues of the corresponding characteristic equations are computed to supply a clear interpretation for suppressing chaos via ITD. Furthermore, ITD method is compared with the time delayed feedback (TDF) control numerically. This comparison shows that the stability area with ITD is larger than TDF which demonstrates the feasibility and effectiveness of the ITD. Other examples of chaotic systems can be similarly investigated.
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Xiao, Jianli, and Hanli Xiao. "The Complexities in the R&D Competition Model with Spillover Effects in the Supply Chain." Complexity 2024 (February 28, 2024): 1–15. http://dx.doi.org/10.1155/2024/3152363.

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This study aims to investigate the research and development (R&D) competition within the supply chain, focusing on two aspects: R&D competition at the manufacturing level and competition in pricing strategies. This paper establishes a dynamic game model of R&D competition, comprising two manufacturers and two retailers, with both manufacturers exhibiting bounded rationality. The key findings are as follows: (1) an increase in the adjustment speed positively affects the chaotic nature of the R&D competition system, leading to a state of disorder. This chaotic state has adverse implications for manufacturing profitability. (2) The spillover effect exhibits a positive relationship with the level of chaos in the R&D competition system. A greater spillover effect contributes to a more turbulent environment, which subsequently impacts the profitability of manufacturers. (3) R&D cost parameters exert a positive influence on the stability of the R&D competition system. When the system reaches a state of equilibrium, an escalation in the R&D cost parameters poses a threat to manufacturer profitability. (4) Retailer costs play a detrimental role in the stability of the R&D competition system. As retailer costs increase, there is a decline in R&D levels, thereby diminishing manufacturer profitability. (5) To mitigate the chaotic state, we propose the implementation of the time-delayed feedback control (TDFC) method, which reflects a more stable state in the R&D competition system.
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Dissertations / Theses on the topic "Time delayed feedback control (TDFC)"

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Al-Mousa, Amjed A. "Control of Rotary Cranes Using Fuzzy Logic and Time-Delayed Position Feedback Control." Thesis, Virginia Tech, 2000. http://hdl.handle.net/10919/36024.

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Rotary Cranes (Tower Cranes) are common industrial structures that are used in building construction, factories, and harbors. These cranes are usually operated manually. With the size of these cranes becoming larger and the motion expected to be faster, the process of controlling them became dicult without using automatic control methods. In general, the movement of cranes has no prescribed path. Cranes have to be run under dierent operating conditions, which makes closed-loop control preferable. In this work, two types of controllers are studied: fuzzy logic and time-delayed position feedback controllers. The fuzzy logic controller is introduced first with the idea of split-horizon; that is, to use some fuzzy engines for tracking position and others for damping load oscillations. Then the time-delayed position feedback method is applied. Finally, an attempt to combine these two controllers into a hybrid controller is introduced. Computer simulations are used to verify the performance of these controllers. An experimental setup was built on which the time-delayed position feedback controller was tested. The results showed good performance.
Master of Science
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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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Yamasue, Kohei. "Studies on time-delayed feedback control of chaos and its application to dynamic force microscopy." 京都大学 (Kyoto University), 2007. http://hdl.handle.net/2433/136231.

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Masoud, Ziyad Nayif. "A Control System for the Reduction of Cargo Pendulation of Ship-Mounted Cranes." Diss., Virginia Tech, 2000. http://hdl.handle.net/10919/26022.

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Ship-mounted cranes are used to transfer cargo from large container ships to smaller lighters when deep-water ports are not available. The wave-induced motion of the crane ship produces large pendulations of hoisted cargo and causes operations to be suspended. In this work, we show that in boom type ship-mounted cranes, it is possible to reduce these pendulations significantly by controlling the slew and luff angles of the boom. Such a control can be achieved with the heavy equipment that is already part of the crane so that retrofitting existing cranes would require a small effort. Moreover, the control is superimposed on the commands of the operator transparently. The successful control strategy is based on delayed-position feedback of the cargo motion in-plane and out-of-plane of the boom and crane tower. Its effectiveness is demonstrated with a fully nonlinear three-dimensional computer simulation and with an experiment on a 1/24 scale model of a T-ACS (The Auxiliary Crane Ship) crane mounted on a platform moving with three degrees of freedom to simulate the ship roll, pitch, and heave motions of the crane ship. The results demonstrate that the pendulations can be significantly reduced, and therefore the range of sea conditions in which cargo-transfer operations could take place can be greatly expanded. Furthermore, the control strategy is applied experimentally to a scaled model of a tower crane. The effectiveness of the controller is demonstrated for both rotary and gantry modes of operation of the crane. This work was supported by the Office of Naval Research under Contract #N00014-96-1-1123.
Ph. D.
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Perreira, Das Chagas Thiago. "Stabilization of periodic orbits in discrete and continuous-time systems." Phd thesis, Université Paris Sud - Paris XI, 2013. http://tel.archives-ouvertes.fr/tel-00852424.

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The main problem evaluated in this manuscript is the stabilization of periodic orbits of non-linear dynamical systems by use of feedback control. The goal of the control methods proposed in this work is to achieve a stable periodic oscillation. These control methods are applied to systems that present unstable periodic orbits in the state space, and the latter are the orbits to be stabilized.The methods proposed here are such that the resulting stable oscillation is obtained with low control effort, and the control signal is designed to converge to zero when the trajectory tends to the stabilized orbit. Local stability of the periodic orbits is analyzed by studying the stability of some linear time-periodic systems, using the Floquet stability theory. These linear systems are obtained by linearizing the trajectories in the vicinity of the periodic orbits.The control methods used for stabilization of periodic orbits here are the proportional feedback control, the delayed feedback control and the prediction-based feedback control. These methods are applied to discrete and continuous-time systems with the necessary modifications. The main contributions of the thesis are related to these methods, proposing an alternative control gain design, a new control law and related results.
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Omar, Hanafy M. "Control of Gantry and Tower Cranes." Diss., Virginia Tech, 2003. http://hdl.handle.net/10919/26044.

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The main objective of this work is to design robust, fast, and practical controllers for gantry and tower cranes. The controllers are designed to transfer the load from point to point as fast as possible and, at the same time, the load swing is kept small during the transfer process and completely vanishes at the load destination. Moreover, variations of the system parameters, such as the cable length and the load weight, are also included. Practical considerations, such as the control action power, and the maximum acceleration and velocity, are taken into account. In addition, friction effects are included in the design using a friction-compensation technique. The designed controllers are based on two approaches. In the first approach, a gain-scheduling feedback controller is designed to move the load from point to point within one oscillation cycle without inducing large swings. The settling time of the system is taken to be equal to the period of oscillation of the load. This criterion enables calculation of the controller feedback gains for varying load weight and cable length. The position references for this controller are step functions. Moreover, the position and swing controllers are treated in a unified way. In the second approach, the transfer process and the swing control are separated in the controller design. This approach requires designing two controllers independently: an anti-swing controller and a tracking controller. The objective of the anti-swing controller is to reduce the load swing. The tracking controller is responsible for making the trolley follow a reference position trajectory. We use a PD-controller for tracking, while the anti-swing controller is designed using three different methods: (a) a classical PD controller, (b) two controllers based on a delayed-feedback technique, and (c) a fuzzy logic controller that maps the delayed-feedback controller performance. To validate the designed controllers, an experimental setup was built. Although the designed controllers work perfectly in the computer simulations, the experimental results are unacceptable due to the high friction in the system. This friction deteriorates the system response by introducing time delay, high steady-state error in the trolley and tower positions, and high residual load swings. To overcome friction in the tower-crane model, we estimate the friction, then we apply an opposite control action to cancel it. To estimate the friction force, we assume a mathematical model and estimate the model coefficients using an off-line identification technique using the method of least squares. With friction compensation, the experimental results are in good agreement with the computer simulations. The gain-scheduling controllers transfer the load smoothly without inducing an overshoot in the trolley position. Moreover, the load can be transferred in a time near to the optimal time with small swing angles during the transfer process. With full-state feedback, the crane can reach any position in the working environment without exceeding the system power capability by controlling the forward gain in the feedback loop. For large distances, we have to decrease this gain, which in turn slows the transfer process. Therefore, this approach is more suitable for short distances. The tracking-anti-swing control approach is usually associated with overshoots in the translational and rotational motions. These overshoots increase with an increase in the maximum acceleration of the trajectories . The transfer time is longer than that obtained with the first approach. However, the crane can follow any trajectory, which makes the controller cope with obstacles in the working environment. Also, we do not need to recalculate the feedback gains for each transfer distance as in the gain-scheduling feedback controller.
Ph. D.
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Henry, Ryan J. "Cargo Pendulation Reduction on Ship-Mounted Cranes." Thesis, Virginia Tech, 1997. http://hdl.handle.net/10919/10037.

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It is sometimes necessary to transfer cargo from a large ship to a smaller ship at sea. Specially designed craneships are used for this task, however the wave-induced motions of the ship can cause large pendulations of cargo being hoisted by a ship-mounted crane. This makes cargo transfer in rough seas extremely dangerous and therefore transfer operations normally cease when sea state 3 is reached. If the cargo pendulations could be reduced in higher sea states, transfer operations would be possible. By controlling the boom luff angle, one can reduce the cargo pendulations in the plane of the boom significantly. A two-dimensional pendulum with a rigid massless cable and massive point load is used to model the system. A control law using time-delayed position feedback is developed and the system is simulated on a computer using the full nonlinear equations of motion. A three-degree-of-freedom ship-motion simulation platform, capable of simulating heave, pitch, and roll motions, was built. The computer simulation results were experimentally verified by mounting a 1/24th scale model of a T-ACS crane on the ship-motion simulation platform.
Master of Science
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Cooman, Peter. "Nonlinear Feedforward-Feedback Control of an Uncertain, Time-delayed Musculoskeletal Arm Model for use in Functional Electrical Stimulation." Case Western Reserve University School of Graduate Studies / OhioLINK, 2014. http://rave.ohiolink.edu/etdc/view?acc_num=case1386229121.

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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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Khůlová, Jitka. "Stabilita a chaos v nelineárních dynamických systémech." Master's thesis, Vysoké učení technické v Brně. Fakulta strojního inženýrství, 2018. http://www.nusl.cz/ntk/nusl-392836.

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Diplomová práce pojednává o teorii chaotických dynamických systémů, speciálně se pak zabývá Rösslerovým systémem. Kromě standardních výpočtů spojených s bifurkační analýzou se práce zaměřuje na problém stabilizace, konkrétně na stabilizaci rovnovážných bodů. Ke stabilizaci je využita základní metoda zpětnovazebního řízení s časovým zpožděním. Významnou část práce tvoří zavedení a implementace obecné metody pro hledání vhodné volby parametrů vedoucí k úspěšné stabiliaci. Dalším diskutovaným tématem je možnost synchronizace dvou Rösslerových systémů pomocí různých synchronizačních schémat.
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Books on the topic "Time delayed feedback control (TDFC)"

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Hu, H. Y., and Z. H. Wang. Dynamics of Controlled Mechanical Systems with Delayed Feedback. Springer, 2002.

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Sun, Jian-Qiao. Advances in Analysis and Control of Time-Delayed Dynamical Systems. World Scientific Publishing Co Pte Ltd, 2013.

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Biswas, Debabrata, and Tanmoy Banerjee. Time-Delayed Chaotic Dynamical Systems: From Theory to Electronic Experiment. Springer, 2017.

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Book chapters on the topic "Time delayed feedback control (TDFC)"

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Hövel, Philipp. "Time-Delayed Feedback Control." In Springer Theses, 11–41. Berlin, Heidelberg: Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-14110-2_2.

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Flunkert, Valentin. "Time-Delayed Feedback Control." In Delay-Coupled Complex Systems, 7–10. Berlin, Heidelberg: Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-20250-6_2.

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Lehnert, Judith. "Adaptive Time-Delayed Feedback Control." In Controlling Synchronization Patterns in Complex Networks, 133–46. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-25115-8_8.

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Just, W. "Principles of Time Delayed Feedback Control." In Handbook of Chaos Control, 21–41. Weinheim, FRG: Wiley-VCH Verlag GmbH & Co. KGaA, 2006. http://dx.doi.org/10.1002/3527607455.ch2.

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Schöll, Eckehard. "Pattern Formation and Time Delayed Feedback Control at the Nanoscale." In Nonlinear Dynamics of Nanosystems, 325–67. Weinheim, Germany: Wiley-VCH Verlag GmbH & Co. KGaA, 2010. http://dx.doi.org/10.1002/9783527629374.ch12.

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Zhang, Shu, Yu Huang, and Jian Xu. "Time-Delayed Feedback Control for Flutter of Supersonic Aircraft Wing." In Springer Proceedings in Physics, 747–52. Dordrecht: Springer Netherlands, 2011. http://dx.doi.org/10.1007/978-94-007-2069-5_100.

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Tusset, Angelo M., Jose M. Balthazar, Rodrigo T. Rocha, Mauricio A. Ribeiro, Wagner B. Lenz, and Frederic C. Janzen. "Time-Delayed Feedback Control Applied in a Nonideal System with Chaotic Behavior." In Nonlinear Dynamics and Control, 237–44. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-34747-5_24.

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Pyragas, K. "Control of Dynamical Systems Via Time-Delayed Feedback and Unstable Controller." In Synchronization: Theory and Application, 221–56. Dordrecht: Springer Netherlands, 2003. http://dx.doi.org/10.1007/978-94-010-0217-2_10.

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Costa, Dimitri, Vahid Vaziri, Ekaterina Pavlovskaia, and Marian Wiercigroch. "Adaptive Time-Delayed Feedback Control Applied to a Vibro-Impact System." In Mechanisms and Machine Science, 427–36. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-15758-5_43.

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Yan, Senlin. "Chaos-Control of Two Coupled Lasers Using Optoelectronic Delayed Time Feedback." In Advances in Intelligent Automation and Soft Computing, 276–84. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-81007-8_31.

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Conference papers on the topic "Time delayed feedback control (TDFC)"

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Reddy, Suresh B. "New Stability Analysis and Design of Discrete Time Delay Control for Nonaffine Nonlinear Systems." In ASME 2020 Dynamic Systems and Control Conference. American Society of Mechanical Engineers, 2020. http://dx.doi.org/10.1115/dscc2020-3144.

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Abstract Time Delay Control (TDC) for linear and nonlinear systems with uncertain dynamics has been widely discussed in the literature, as it has a very simple and compact form. It uses time-delayed signals for estimating unknown dynamics at an instant, and uses feedback linearization for cancellation of known and estimated unknown dynamics. While the original formulation and most of the analyses have been focused on the continuous version of the controller, its implementation is more natural in digital form. This paper extends the recently improved sufficient Bounded Input - Bounded Output (BIBO) stability conditions for continuous Time Delay Control of nonaffine nonlinear systems to discrete Time Delay Control, including simplified approximate conditions under various assumptions. Additionally. asymptotic stability is established for similar conditions. The derived conditions are contrasted with earlier results for continuous Time Delay Control. Examples are used to illustrate the differences in continuous and discrete TDC, related to performance as well as sufficient and actual conditions for stability.
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Tao Tan, Hongming Yang, and Xuehua Deng. "Time-delayed feedback chaos control of dynamic cournot game of power market based on heterogeneous strategies." In Exposition. IEEE, 2008. http://dx.doi.org/10.1109/tdc.2008.4517178.

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3

Just, Wolfram, Ekkehard Reibold, and Hartmut Benner. "Time–Delayed Feedback Control: Theory and Application." In 5th Experimental Chaos Conference. WORLD SCIENTIFIC, 2001. http://dx.doi.org/10.1142/9789812811516_0007.

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4

Liang, Jin-Wei, Hung-Yi Chen, and Lyu-Cyuan Zeng. "Performance Enhancement of Pneumatic Vibration Isolators Using Self-Tuning PID Feedback and Time-Delay-Control (TDC)-Based Feedforward Scheme." In ASME 2018 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/detc2018-85131.

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A hybrid control scheme that combines a self-tuning PID-feedback loop and TDC-based feedforward scheme is proposed in this study to cope with an active pneumatic vibration isolator. In order to establish an effective TDC feedforward control a reliable mathematical model of the pneumatic isolator is required and developed firstly. Numerical and experimental investigations on the validity of the mathematical model are performed. It is found that although slight discrepancy exists between predicted and observed behaviors of the system, the overall model performance is acceptable. The resultant model is then applied in the design of the TDC feedforward scheme. A neuro-based adaptive PID control is integrated with the TDC feedforward algorithm to form the hybrid control. Numerical and experimental isolation tests are carried out to examine the suppression performances of the proposed hybrid control scheme. The results show that the proposed hybrid control method outperforms solely TDC feedforward while the latter outperforms the passive isolation system. Moreover, the proposed hybrid control scheme can suppress the vibration near the system’s resonance.
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5

Yang, Xueshan, and Yury Stepanenko. "Stabilization of Discrete Bilinear Systems with Time Delayed Feedback." In 1993 American Control Conference. IEEE, 1993. http://dx.doi.org/10.23919/acc.1993.4793026.

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6

Hirata, K., H. Kokame, K. Konishi, and H. Fujita. "Observer-based delayed feedback control of continuous-time systems." In Proceedings of American Control Conference. IEEE, 2001. http://dx.doi.org/10.1109/acc.2001.946131.

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7

Gomez, Marcella M., Gabor Orosz, and Richard M. Murray. "Stability of discrete-time systems with stochastically delayed feedback." In 2013 European Control Conference (ECC). IEEE, 2013. http://dx.doi.org/10.23919/ecc.2013.6669802.

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8

Schikora, S., H.-J. Wunsche, and F. Henneberger. "All-optical time-delayed feedback control of semiconductor lasers." In 2007 European Conference on Lasers and Electro-Optics and the International Quantum Electronics Conference. IEEE, 2007. http://dx.doi.org/10.1109/cleoe-iqec.2007.4386023.

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9

Reddy, Suresh B. "New Analysis/Design of Generalized Discrete PI Controller via Discrete Time Delay Control for Nonlinear Systems." In ASME 2020 Dynamic Systems and Control Conference. American Society of Mechanical Engineers, 2020. http://dx.doi.org/10.1115/dscc2020-3149.

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Abstract Proportional-Integral (PI) and Proportional-Integral-Derivative (PID) controllers are among the most common schemes for control since their formulation nearly a century ago. They have been very successful in many applications, even as we have migrated from analog implementations to digital control systems. While there is rich literature for design and analysis of PI/PID controllers for linear time-invariant systems with modeled dynamics, the tools for analysis and design for nonlinear systems with unknown dynamics are limited, despite their known effectiveness. This paper extends previous observations about a form of discrete Time Delay Control’s equivalence to a generalized PI controller for more general canonical systems, with additional complimentary feedback linearization of known dynamics, as desired. In addition, sufficient conditions for Bounded Input-Bounded Output (BIBO) as well as exponential stability are developed in this paper for the form of discrete TDC that is closest to generalized discrete PI equivalent controller, for multi-input multi-output nonlinear systems, including nonaffine cases. Accordingly, design procedures are suggested for such discrete TDC, and generalized discrete PI controller for nonlinear systems.
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Yun Chen, Qingqing Li, Anke Xue, Ming Ge, and Junhong Wang. "Finite-time dynamic output feedback stabilization of delayed stochastic systems." In 2013 American Control Conference (ACC). IEEE, 2013. http://dx.doi.org/10.1109/acc.2013.6580655.

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