The Experts below are selected from a list of 360 Experts worldwide ranked by ideXlab platform
Xuejun Xie - One of the best experts on this subject based on the ideXlab platform.
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State Feedback stabilization for stochastic feedforward nonlinear systems with time varying delay
Automatica, 2013Co-Authors: Liang Liu, Xuejun XieAbstract:This paper investigates a class of stochastic feedforward nonlinear systems with time-varying delay. By introducing the homogeneous domination approach to stochastic systems, a State Feedback controller is constructed to render the closed-loop system globally asymptotically stable in probability.
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a homogeneous domination approach to State Feedback of stochastic high order nonlinear systems with time varying delay
IEEE Transactions on Automatic Control, 2013Co-Authors: Xuejun Xie, Liang LiuAbstract:The homogeneous domination approach is introduced to solve the State Feedback stabilization problem for stochastic high-order nonlinear systems with time-varying delay. Under the weaker conditions on the drift and diffusion terms, by using the homogeneous domination approach and solving several troublesome obstacles in the design and analysis procedure, a State Feedback controller is constructed to render the closed-loop system globally asymptotically stable in probability.
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brief paper adaptive State Feedback stabilization of high order stochastic systems with nonlinear parameterization
Automatica, 2009Co-Authors: Xuejun Xie, Jie TianAbstract:This paper investigates the adaptive State-Feedback stabilization of high-order stochastic systems with nonlinear parameterization. By using the parameter separation lemma in [Lin, W., & Qian, C. (2002a). Adaptive control of nonlinearly parameterized systems: A nonsmooth Feedback framework. IEEE Transactions on Automatic Control, 47, 757-774.] and some flexible algebraic techniques, and choosing an appropriate Lyapunov function, a smooth adaptive State-Feedback controller is designed, which guarantees that the closed-loop system has an almost surely unique solution for any initial State, the equilibrium of interest is globally stable in probability, and the State can be regulated to the origin almost surely.
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State Feedback stabilization for high order stochastic nonlinear systems with stochastic inverse dynamics
International Journal of Robust and Nonlinear Control, 2007Co-Authors: Xuejun Xie, Jie TianAbstract:For a class of high-order stochastic nonlinear systems with stochastic inverse dynamics which are neither necessarily Feedback linearizable nor affine in the control input, this paper investigates the problem of State-Feedback stabilization for the first time. Under some weaker assumptions, a smooth State-Feedback controller is designed, which ensures that the closed-loop system has an almost surely unique solution on [0, ∞), the equilibrium at the origin of the closed-loop system is globally asymptotically stable in probability, and the States can be regulated to the origin almost surely. A simulation example demonstrates the control scheme. Copyright © 2007 John Wiley & Sons, Ltd.
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adaptive State Feedback stabilization for high order stochastic non linear systems with uncertain control coefficients
International Journal of Control, 2007Co-Authors: Jie Tian, Xuejun XieAbstract:This paper investigates the adaptive State-Feedback stabilization problem for a class of high-order stochastic non-linear systems with unknown lower and supper bounds for uncertain control coefficients. Under some weaker and reasonable assumptions, a smooth adaptive State-Feedback controller is designed, which guarantees that the closed-loop system has an almost surely unique solution on [0,∞, the equilibrium of interest is globally stable in probability and the States can be regulated to the origin almost surely. A simulation example is given to show the systematic design and effectiveness of the controller.
Jie Tian - One of the best experts on this subject based on the ideXlab platform.
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brief paper adaptive State Feedback stabilization of high order stochastic systems with nonlinear parameterization
Automatica, 2009Co-Authors: Xuejun Xie, Jie TianAbstract:This paper investigates the adaptive State-Feedback stabilization of high-order stochastic systems with nonlinear parameterization. By using the parameter separation lemma in [Lin, W., & Qian, C. (2002a). Adaptive control of nonlinearly parameterized systems: A nonsmooth Feedback framework. IEEE Transactions on Automatic Control, 47, 757-774.] and some flexible algebraic techniques, and choosing an appropriate Lyapunov function, a smooth adaptive State-Feedback controller is designed, which guarantees that the closed-loop system has an almost surely unique solution for any initial State, the equilibrium of interest is globally stable in probability, and the State can be regulated to the origin almost surely.
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State Feedback stabilization for high order stochastic nonlinear systems with stochastic inverse dynamics
International Journal of Robust and Nonlinear Control, 2007Co-Authors: Xuejun Xie, Jie TianAbstract:For a class of high-order stochastic nonlinear systems with stochastic inverse dynamics which are neither necessarily Feedback linearizable nor affine in the control input, this paper investigates the problem of State-Feedback stabilization for the first time. Under some weaker assumptions, a smooth State-Feedback controller is designed, which ensures that the closed-loop system has an almost surely unique solution on [0, ∞), the equilibrium at the origin of the closed-loop system is globally asymptotically stable in probability, and the States can be regulated to the origin almost surely. A simulation example demonstrates the control scheme. Copyright © 2007 John Wiley & Sons, Ltd.
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adaptive State Feedback stabilization for high order stochastic non linear systems with uncertain control coefficients
International Journal of Control, 2007Co-Authors: Jie Tian, Xuejun XieAbstract:This paper investigates the adaptive State-Feedback stabilization problem for a class of high-order stochastic non-linear systems with unknown lower and supper bounds for uncertain control coefficients. Under some weaker and reasonable assumptions, a smooth adaptive State-Feedback controller is designed, which guarantees that the closed-loop system has an almost surely unique solution on [0,∞, the equilibrium of interest is globally stable in probability and the States can be regulated to the origin almost surely. A simulation example is given to show the systematic design and effectiveness of the controller.
Liang Liu - One of the best experts on this subject based on the ideXlab platform.
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State Feedback stabilization for stochastic feedforward nonlinear systems with time varying delay
Automatica, 2013Co-Authors: Liang Liu, Xuejun XieAbstract:This paper investigates a class of stochastic feedforward nonlinear systems with time-varying delay. By introducing the homogeneous domination approach to stochastic systems, a State Feedback controller is constructed to render the closed-loop system globally asymptotically stable in probability.
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a homogeneous domination approach to State Feedback of stochastic high order nonlinear systems with time varying delay
IEEE Transactions on Automatic Control, 2013Co-Authors: Xuejun Xie, Liang LiuAbstract:The homogeneous domination approach is introduced to solve the State Feedback stabilization problem for stochastic high-order nonlinear systems with time-varying delay. Under the weaker conditions on the drift and diffusion terms, by using the homogeneous domination approach and solving several troublesome obstacles in the design and analysis procedure, a State Feedback controller is constructed to render the closed-loop system globally asymptotically stable in probability.
Yoshio Ebihara - One of the best experts on this subject based on the ideXlab platform.
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on gain scheduled State Feedback controller synthesis with quadratic stability condition
IEEE Control Systems Letters, 2020Co-Authors: Yoshio Ebihara, Noboru Sebe, Hayato WakiAbstract:This letter shows that, as long as continuous-time linear parameter-varying (LPV) systems are concerned, quadratic-stability-based gain-scheduled State-Feedback controller synthesis offers no advantage over quadratic-stability-based fixed (parameter-independent) State-Feedback controller synthesis in typical control performance specifications. We derive this counterintuitive result by properly extending the previous results on the robust versions of Finsler’s lemma and the elimination lemma. We also show that this counterintuitive result is continuous-time LPV system specific, and in the discrete-time LPV system case quadratic-stability-based gain-scheduled State-Feedback controller synthesis does bring improvement. These results give a proper warning about the effectiveness of the quadratic-stability-based gain-scheduled State-Feedback controller synthesis.
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periodically time varying memory State Feedback controller synthesis for discrete time linear systems
Automatica, 2011Co-Authors: Yoshio Ebihara, Dimitri Peaucelle, Denis ArzelierAbstract:In this paper, we deal with discrete-time linear periodic/time-invariant systems with polytopic-type uncertainties and propose a new linear matrix inequality (LMI)-based method for robust State-Feedback controller synthesis. In stark contrast with existing approaches that are confined to memoryless static controller synthesis, we explore dynamical controller synthesis and reveal a particular periodically time-varying memory State-Feedback controller (PTVMSFC) structure that allows LMI-based synthesis. In the context of robust controller synthesis, we prove rigorously that the proposed design method encompasses the well-known extended-LMI-based static controller synthesis methods as particular cases. Through numerical experiments, we demonstrate that the suggested design method is indeed effective in achieving less conservative results, under both periodic and time-invariant settings. We finally derive a viable test to verify that the designed robust PTVMSFC is "exact" in the sense that it attains the best achievable robust performance. This exactness verification test works fine in practice, and we will show via a numerical example that exact robust control is indeed attained by designing PTVMSFCs, even for such a problem where the standard memoryless static State-Feedback fails.
Grace S Deaecto - One of the best experts on this subject based on the ideXlab platform.
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State Feedback ℋ control design of continuous time switched affine systems
Iet Control Theory and Applications, 2015Co-Authors: Grace S Deaecto, Guilherme C SantosAbstract:This study deals with State Feedback ℋ ∞ control design of continuous-time switched affine systems. The main purpose is to design a set of State Feedback gains together with a switching function assuring global asymptotic stability of a desired equilibrium point. The equilibrium point belongs to a set of attainable ones to be determined. Moreover, the control design must take into account a pre-specified upper bound to the ℒ 2 gain from the external input to the controlled output. Two different switching functions are proposed and discussed. The first one depends only on the State and the other depends also on the external input. The results are compared with recent ones available in the literature to date, as for instance, those based on a max-type Lyapunov function and those commonly used to assure practical stability. Numerical examples illustrate the theoretical results and are used for comparisons.
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technical communique switched State Feedback control for continuous time uncertain systems
Automatica, 2009Co-Authors: J C Geromel, Grace S DeaectoAbstract:This paper is concerned to design a switched State Feedback robust control for continuous-time systems subject to norm bounded uncertainty. As important features of the proposed design method, we mention that it can handle a general LFT structure for the uncertainty and it is based on stability conditions that can be numerically solved by means of LMIs and a line search. Moreover, the switching rule as well as the State Feedback gains are determined from the minimization of a guaranteed cost function derived from a multi-objective criterion. The theoretical results are illustrated with an academic example.