The Experts below are selected from a list of 74364 Experts worldwide ranked by ideXlab platform
James Lam - One of the best experts on this subject based on the ideXlab platform.
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on reachable set estimation of Singular Systems
Automatica, 2015Co-Authors: Zhiguang Feng, James LamAbstract:In this paper, the problem of reachable set estimation of Singular Systems is investigated. Based on the Lyapunov method, a sufficient condition is established in terms of a linear matrix inequality (LMI) to guarantee that the reachable set of Singular System is bounded by the intersection of ellipsoids. Then the result is extended to the problem for Singular Systems with time-varying delay by utilizing the reciprocally convex approach. The effectiveness of the obtained results in this paper is illustrated by numerical examples.
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reachable set analysis for Singular Systems
Chinese Control Conference, 2014Co-Authors: Zhiguang Feng, James LamAbstract:In this paper, the problem of reachable sets estimation of Singular Systems is investigated. Based on the Lyapunov method, a sufficient condition is established in terms of linear matrix inequality (LMI) to guarantee that the reachable set of a Singular System is bounded by a ball. The effectiveness of the obtained results in this paper is illustrated by numerical examples.
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h_ infty positive filtering for positive linear discrete time Systems an augmentation approach
IEEE Transactions on Automatic Control, 2010Co-Authors: James Lam, Zhan ShuAbstract:In this note, we address the reduced-order positive filtering problem of positive discrete-time Systems under the H∞ performance. Commonly employed approaches, such as linear transformation and elimination technique, may not be applicable in general due to the positivity constraint of the filter. To cope with the difficulty, we first represent the filtering error System as a Singular System by means of the System augmentation approach, which will facilitate the consideration of the positivity constraint. Two necessary and sufficient conditions are obtained in terms of matrix inequalities under which the filtering error System has a prescribed H∞ performance. Then, a necessary and sufficient condition is proposed for the existence of the desired positive filters, and an iterative linear matrix inequality (LMI) algorithm is presented to compute the filtering matrices, which can be easily checked by standard software. Finally, a numerical example to illustrate the effectiveness of the proposed design procedures is presented.
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robust stability and stabilization of discrete Singular Systems an equivalent characterization
IEEE Transactions on Automatic Control, 2004Co-Authors: James LamAbstract:This note deals with the problems of robust stability and stabilization for uncertain discrete-time Singular Systems. The parameter uncertainties are assumed to be time-invariant and norm-bounded appearing in both the state and input matrices. A new necessary and sufficient condition for a discrete-time Singular System to be regular, causal and stable is proposed in terms of a strict linear matrix inequality (LMI). Based on this, the concepts of generalized quadratic stability and generalized quadratic stabilization for uncertain discrete-time Singular Systems are introduced. Necessary and sufficient conditions for generalized quadratic stability and generalized quadratic stabilization are obtained in terms of a strict LMI and a set of matrix inequalities, respectively. With these conditions, the problems of robust stability and robust stabilization are solved. An explicit expression of a desired state feedback controller is also given, which involves no matrix decomposition. Finally, an illustrative example is provided to demonstrate the applicability of the proposed approach.
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robust stability and stabilization for Singular Systems with state delay and parameter uncertainty
IEEE Transactions on Automatic Control, 2002Co-Authors: P Van Dooren, R Stefan, James LamAbstract:Considers the problems of robust stability and stabilization for uncertain continuous Singular Systems with state delay. The parametric uncertainty is assumed to be norm bounded. The purpose of the robust stability problem is to give conditions such that the uncertain Singular System is regular, impulse free, and stable for all admissible uncertainties, while the purpose of the robust stabilization is to design a state feedback control law such that the resulting closed-loop System is robustly stable. These problems are solved via the notions of generalized quadratic stability and generalized quadratic stabilization, respectively. Necessary and sufficient conditions for generalized quadratic stability and generalized quadratic stabilization are derived. A strict linear matrix inequality (LMI) design approach is developed. An explicit expression for the desired robust state feedback control law is also given. Finally, a numerical example is provided to demonstrate the application of the proposed method.
Peng Shi - One of the best experts on this subject based on the ideXlab platform.
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network based event triggered control for Singular Systems with quantizations
IEEE Transactions on Industrial Electronics, 2016Co-Authors: Peng Shi, Huijiao Wang, Chengchew LimAbstract:This paper investigates the problem of event-triggered $H_{\infty}$ control for a networked Singular System with both state and input subject to quantizations. First, a discrete event-triggered scheme, which activates only at each sampling instance, is presented. Next, two new sector bound conditions of quantizers are proposed to provide a more intuitive stability analysis and controller design. Then, network conditions, quantizations, and the event-triggered scheme are modeled as a time-delay System. With this model, the criteria are derived for $H_{\infty}$ performance analysis, and codesigning methods are developed for the event trigger and the quantized state feedback controller. An inverted pendulum controlled through the network is given to demonstrate the effectiveness and potential of the new design techniques.
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state estimation and sliding mode control of markovian jump Singular Systems
IEEE Transactions on Automatic Control, 2010Co-Authors: Peng Shi, Huijun GaoAbstract:This paper is concerned with the state estimation and sliding-mode control problems for continuous-time Markovian jump Singular Systems with unmeasured states. Firstly, a new necessary and sufficient condition is proposed in terms of strict linear matrix inequality (LMI), which guarantees the stochastic admissibility of the unforced Markovian jump Singular System. Then, the sliding-mode control problem is considered by designing an integral sliding surface function. An observer is designed to estimate the System states, and a sliding-mode control scheme is synthesized for the reaching motion based on the state estimates. It is shown that the sliding mode in the estimation space can be attained in a finite time. Some conditions for the stochastic admissibility of the overall closed-loop System are derived. Finally, a numerical example is provided to illustrate the effectiveness of the proposed theory.
Huijun Gao - One of the best experts on this subject based on the ideXlab platform.
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reliable control of discrete time piecewise affine time delay Systems via output feedback
IEEE Transactions on Reliability, 2018Co-Authors: Jianbin Qiu, Yanling Wei, Hamid Reza Karimi, Huijun GaoAbstract:This paper addresses the problem of delay-dependent robust and reliable $\mathscr {H}_{\infty }$ static output feedback (SOF) control for uncertain discrete-time piecewise-affine (PWA) Systems with time-delay and actuator failure in a Singular System setup. The Markov chain is applied to describe the actuator faults behaviors. In particular, by utilizing a System augmentation approach, the conventional closed-loop System is converted into a Singular PWA System. By constructing a mode-dependent piecewise Lyapunov–Krasovskii functional, a new $\mathscr {H}_{\infty }$ performance analysis criterion is then presented, where a novel summation inequality and S-procedure are succeedingly employed. Subsequently, thanks to the special structure of the Singular System formulation, the PWA SOF controller design is proposed via a convex program. Illustrative examples are finally given to show the efficacy and less conservatism of the presented approach.
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state estimation and sliding mode control of markovian jump Singular Systems
IEEE Transactions on Automatic Control, 2010Co-Authors: Peng Shi, Huijun GaoAbstract:This paper is concerned with the state estimation and sliding-mode control problems for continuous-time Markovian jump Singular Systems with unmeasured states. Firstly, a new necessary and sufficient condition is proposed in terms of strict linear matrix inequality (LMI), which guarantees the stochastic admissibility of the unforced Markovian jump Singular System. Then, the sliding-mode control problem is considered by designing an integral sliding surface function. An observer is designed to estimate the System states, and a sliding-mode control scheme is synthesized for the reaching motion based on the state estimates. It is shown that the sliding mode in the estimation space can be attained in a finite time. Some conditions for the stochastic admissibility of the overall closed-loop System are derived. Finally, a numerical example is provided to illustrate the effectiveness of the proposed theory.
Chengwu Yang - One of the best experts on this subject based on the ideXlab platform.
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h sub spl infin state feedback control for discrete Singular Systems
IEEE Transactions on Automatic Control, 2000Co-Authors: Shengyuan Xu, Chengwu YangAbstract:Deals with the problem of state feedback H/sub /spl infin// control for discrete Singular Systems. It is not assumed that the Singular System under consideration is necessarily regular. The problem we address is the design of a state feedback controller, such that the resulting closed-loop System is not only regular, causal, and stable, but also satisfies a prescribed H/sub /spl infin//-norm-bound condition. In terms of certain matrix inequalities, a necessary and sufficient condition for the solution to this problem is obtained, and a suitable state feedback-control law is also given.
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technical communique stabilization of discrete time Singular Systems a matrix inequalities approach
Automatica, 1999Co-Authors: Chengwu YangAbstract:This paper is concerned with the state feedback stabilization problem of discrete-time Singular Systems. The Singular System under consideration is not assumed to be regular. The problem we address is to design state feedback controllers such that the resulting closed-loop System is regular, causal and stable. Conditions for the existence of solutions to this problem are obtained, expressed in terms of certain matrix inequalities. When these conditions are satisfied, the explicit formula of desired state feedback controllers is also given without resorting to decomposing the System matrices.
Shouming Zhong - One of the best experts on this subject based on the ideXlab platform.
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robust stability analysis of fractional order uncertain Singular nonlinear System with external disturbance
Applied Mathematics and Computation, 2015Co-Authors: Chun Yin, Shouming Zhong, Xuegang Huang, Yuhua ChengAbstract:This paper investigates robust stability for fractional-order (FO) Singular nonlinear Systems. The FO System is disturbed by external uncertainty and disturbance. A central analysis technique is enabled by proposing a fundamental boundedness lemma, for the first time. This lemma is used for robust stability analysis of FO Systems, especially for Mittag-Leffler stability analysis of FO nonlinear Systems. More importantly, how to obtain a more accurate bound is given to reduce conservative. An FO proportional-derivative (PD) controller is proposed to normalize the FO Singular System. Furthermore, a criterion for stability of the normalized FO nonlinear Systems is provided by linear matrix inequalities (LMIs). Finally, two illustrative simulation examples are presented to illustrate effectiveness of the proposed stability notion.
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exponential stabilization using sliding mode control for Singular Systems with time varying delays and nonlinear perturbations
Communications in Nonlinear Science and Numerical Simulation, 2011Co-Authors: Yucai Ding, Hong Zhu, Shouming ZhongAbstract:Abstract This paper considers a sliding mode control (SMC) of Singular Systems. The Systems under consideration involve nonlinear perturbations and time-varying delays. The aim of this paper is to design a sliding mode controller such that the nonlinear Singular System is exponentially stable and its trajectory can be driven onto the sliding surface in finite time. By using the Lyapunov–Krasovskii functional and some specified matrices, conditions on exponential stabilization are obtained in the form of strict linear matrix inequalities (LMIs). A numerical example is given to illustrate the effectiveness of the proposed main results. All these results are expected to be of use in the study of Singular time-varying delay Systems with nonlinear perturbations.
