The Experts below are selected from a list of 8133 Experts worldwide ranked by ideXlab platform
Daniel Liberzon - One of the best experts on this subject based on the ideXlab platform.
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finite data rate stabilization of a Switched Linear System with unknown disturbance
IFAC-PapersOnLine, 2016Co-Authors: Guosong Yang, Daniel LiberzonAbstract:Abstract: We study the stabilization of a Switched Linear System with unknown disturbance using sampled and quantized state feedback. The switching is slow in the sense of combined dwell-time and average dwell-time, while the active mode is unknown except at sampling times. Each mode of the Switched System is stabilizable, and the disturbance admits an unknown bound. A communication and control strategy is designed to achieve practical stability and exponential convergence w.r.t. the initial state with a nonLinear gain on the disturbance, provided the data-rate meets given lower bounds. Compared with previous results, a more involved algorithm is developed to handle effects of the unknown disturbance based on employing an iteratively updated estimate of the disturbance bound and expanding the over-approximations of reachable sets over sampling intervals from the case without disturbance.
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stabilizing a Switched Linear System with disturbance by sampled data quantized feedback
Advances in Computing and Communications, 2015Co-Authors: Guosong Yang, Daniel LiberzonAbstract:We study the problem of stabilizing a Switched Linear System with disturbance using sampled and quantized measurements of its state. The switching is assumed to be slow in the sense of combined dwell-time and average dwell-time, while the active mode is unknown except at sampling times. Each mode of the Switched Linear System is assumed to be stabilizable, and the magnitude of the disturbance is constrained by a known bound. A communication and control strategy is designed to guarantee bounded-input-bounded-state (BIBS) stability of the Switched Linear System and an exponential convergence rate with respect to the initial state, providing the data rate satisfies certain lower bounds. Such lower bounds are established by expanding the over-approximation bounds of reachable sets over sampling intervals derived in a previous paper to accommodate effects of the disturbance.
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CDC-ECE - Stabilizing a Switched Linear System by sampled-data quantized feedback
IEEE Conference on Decision and Control and European Control Conference, 2011Co-Authors: Daniel LiberzonAbstract:We study the problem of asymptotically stabilizing a Switched Linear control System using sampled and quantized measurements of its state. The switching is assumed to be slow enough in the sense of combined dwell time and average dwell time, each individual mode is assumed to be stabilizable, and the available data rate is assumed to be large enough. Our encoding and control strategy is rooted in the one proposed in our earlier work on non-Switched Systems, and in particular the data-rate bound used here is the data-rate bound from that earlier work maximized over the individual modes. The main technical step that enables the extension to Switched Systems concerns propagating over-approximations of reachable sets through sampling intervals, during which the switching signal is unknown.
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stabilizing a Switched Linear System by sampled data quantized feedback
Conference on Decision and Control, 2011Co-Authors: Daniel LiberzonAbstract:We study the problem of asymptotically stabilizing a Switched Linear control System using sampled and quantized measurements of its state. The switching is assumed to be slow enough in the sense of combined dwell time and average dwell time, each individual mode is assumed to be stabilizable, and the available data rate is assumed to be large enough. Our encoding and control strategy is rooted in the one proposed in our earlier work on non-Switched Systems, and in particular the data-rate bound used here is the data-rate bound from that earlier work maximized over the individual modes. The main technical step that enables the extension to Switched Systems concerns propagating over-approximations of reachable sets through sampling intervals, during which the switching signal is unknown.
Rong Yuanjie - One of the best experts on this subject based on the ideXlab platform.
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modeling and control of single phase active power filter based on Switched Linear System
Power system technology, 2007Co-Authors: Rong YuanjieAbstract:To research the high performance control of single phase active power filter (SPAPF) with typical hybrid dynamic characteristic, on the basis of pulse width modulation (PWM) the authors change the hybrid System model containing SPAPF into an equivalent discrete Linear System (EDLS) model containing change-over switches; by means of approximately Linearization of EDLS model in balance manifold neighborhood, a Linear discrete System, which takes the pulse width as input function, is obtained, then an optimal digital Linear quadratic controller is designed for this Linear discrete System, which adopts the pulse width as control variable and can trace and compensate the instruction current in on-line mode. The physical meaning of this controller is clear, the thinking for the design is rational and easy to implement in engineering practice. Simulation results validate the correctness and effectiveness of above-mentioned System model and controller.
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modeling and guaranteed cost control of three phase apf based on Switched Linear System
Chinese Control Conference, 2006Co-Authors: Tang Honghai, Zheng Xuesheng, Rong Yuanjie, Li Chunwen, Liu YanhongAbstract:The high performance control of three-phase APF with hybrid dynamics is investigated in this paper. First, the hybrid dynamic uncertain model of the APF is transformed to a equivalent discrete-time switch Linear uncertain Systems (EDSLS) based on the pulse-width modulator (PWM) theory. Then, the EDSLS is further transformed to a Linear equivalent discrete-time switch Linear uncertain System by Linearization at some neighborhood of the equilibrium manifold with respect to the pulse width. Finally a robust guaranteed cost controller is designed with on-time tracking property, where, in order to avoid the equivalent duty cycle treatment in the conventional controller design, the pulse width is adopted as the control variables. The proposed control scheme has clearer and more rational physical significance and can be easily adopted in practice. Simulation results illustrate the effectiveness of the proposed APF model and the control strategy.
Jamal Daafouz - One of the best experts on this subject based on the ideXlab platform.
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Dynamic output absolute stabilization of a discrete-time Switched Lur'e System
2018Co-Authors: Marc Jungers, Jamal DaafouzAbstract:Discrete-time Switched Lur'e Systems are investigated in this paper. They consist in the interconnection of a Switched Linear System and modal nonLinearities verifying cone bounded sector conditions. The issue of the design of a stabilizing switching law, that is based only on the knowledge of the output of the System and that is robust with respect to the static nonLinearities, is studied. Sufficient conditions are provided via matrix inequalities extending the Lyapunov-Metzler ones in combination with a min-switching strategy exhibiting a particular structure. Discussions dealing with these conditions are provided.
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Dynamic output feedback H-inf source control of Switched Linear Systems
Automatica, 2011Co-Authors: Grace Silva Deaecto, José Cláudio Geromel, Jamal DaafouzAbstract:This paper is devoted to dynamic output feedback View the MathML source control design of Switched Linear Systems in both continuous and discrete-time domains. More specifically, the main purpose is to jointly design a switching rule and a full order dynamic output feedback Switched controller that render the associated closed-loop Switched Linear System globally asymptotically stable and impose a pre-specified upper bound to the View the MathML source gain. An example of practical importance is presented to illustrate the validity and efficiency of the theory.
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On H_infinity control design of continuous-time Switched Linear Systems
2010Co-Authors: Grace Silva Deaecto, José Cláudio Geromel, Jamal DaafouzAbstract:This paper is devoted to dynamic output feedback H∞ control design of Switched Linear Systems in continuous time domain. More specifically, the main purpose is to jointly design a switching rule and a full order dynamic output feedback Switched controller that render the associated closed- loop Switched Linear System globally asymptotically stable and impose a pre-specified upper bound to the L2 gain from the exogenous input to the controlled output. A key issue is the proposition of a necessary and sufficient condition for the existence of a solution of the Riccati-Metzler inequalities with a pre-specified structure. An illustrative example of practical importance is presented.
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Full order dynamic output feedback H infinity control design for discrete-time Switched Linear Systems
2010Co-Authors: Grace Silva Deaecto, José Cláudio Geromel, Jamal DaafouzAbstract:The main purpose of this paper is to design, in a discrete-time framework, a switching function together with a dynamic output feedback Switched controller that render the associated closed-loop Switched Linear System globally asymptotically stable and impose a pre-specified upper bound to the L2 gain from the exogenous input to the controlled output. Sufficient conditions for the existence of a solution are expressed in terms of Riccati-Metzler inequalities being numerically handled by means of any LMI solver coupled to a line search. Compared to the results available in the literature to date, the ones presented here lead, in general, to less conservative conditions. The paper ends with an example of practical importance consisting the control of a mass-spring System with two conflicting criteria, representing a simplified model of flexible structures.
Xudong Zhao - One of the best experts on this subject based on the ideXlab platform.
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finite time stabilization and boundedness of Switched Linear System under state dependent switching
Journal of The Franklin Institute-engineering and Applied Mathematics, 2013Co-Authors: Hao Liu, Yi Shen, Xudong ZhaoAbstract:Abstract In this paper, finite-time stabilization and boundedness (FTSB) problems are investigated. Unlike the existing approach based on time-dependent switching strategy, in which the switching instants must be given in advance, largest region function strategy, i.e., state-dependent switching strategy, is adopted to design the switching signal. Based on multiple Lyapunov-like functions method, some sufficient conditions are provided for FTSB of Switched Linear System and the corresponding sliding motion problem is also considered. Finally, two examples are given to verify the efficiency of the proposed methods.
Hao Liu - One of the best experts on this subject based on the ideXlab platform.
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Distributed Motion State Estimation of Mobile Target with Switching Topologies
Circuits Systems and Signal Processing, 2019Co-Authors: Huaqing Zhang, Hongmei Zhang, Hao Liu, Guangyan XuAbstract:For the problem of motion state estimation of mobile target tracked by sensor nodes, the information-weighted Kalman consensus filter (IKCF) is introduced for sensor networks with switching communication topologies. In order to improve the dynamic performance of the IKCF, the low-pass consensus filtering algorithm is used to estimate the motion acceleration of the target. Moreover, an improved low-pass consensus filter is proposed to make the estimated motion accelerations converge to a smaller range. With low-pass consensus filtering for measured motion accelerations, the Switched Linear System of collective estimation errors of the IKCF is derived. Furthermore, it is proved that the Switched Linear System of collective estimation errors is globally uniformly asymptotically stable with a weighted $${l_2}$$ l 2 -gain. Consequently, the conclusion is deduced that estimations of the target motion state can achieve consensus and converge to the target motion state within a bounded region as $$t \rightarrow \infty $$ t → ∞ under switching topologies. Finally, the effectiveness of the proposed approaches is illustrated by several illustrative examples.
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finite time stability for Switched Linear System based on state dependent switching strategy
International Conference on Mechatronics and Control, 2014Co-Authors: Hao LiuAbstract:In this paper, the problems of finite-time stability for both discrete-time and continuous-time Switched Linear Systems are studied. Largest region function strategy is adopted to design the switching logic, i.e., state-dependent switching rule, which is different from the existing approach that is based on time-dependent switching strategy. Some sufficient conditions are provided for finite-time stability of both continuous-time and discrete-time Switched System. Finally, an example is given to verify the efficiency of the proposed method.
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finite time stabilization and boundedness of Switched Linear System under state dependent switching
Journal of The Franklin Institute-engineering and Applied Mathematics, 2013Co-Authors: Hao Liu, Yi Shen, Xudong ZhaoAbstract:Abstract In this paper, finite-time stabilization and boundedness (FTSB) problems are investigated. Unlike the existing approach based on time-dependent switching strategy, in which the switching instants must be given in advance, largest region function strategy, i.e., state-dependent switching strategy, is adopted to design the switching signal. Based on multiple Lyapunov-like functions method, some sufficient conditions are provided for FTSB of Switched Linear System and the corresponding sliding motion problem is also considered. Finally, two examples are given to verify the efficiency of the proposed methods.
