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Stability analysis and stabilization for discrete-time singular delay systems

Journal of systems Engineering and Electronics 2011年第3期22卷 482-487页

作者： Xin Sun Qingling Zhang Chunyu Yang Zhan Su Institute of systems Science Northeastern UniversityShenyang 110004P.R.China Key Laboratory of Integrated Automation of Process Industry Ministry of EducationNortheastern UniversityShenyang 110004P.R.China Department of Computer and Mathematics Teaching Shenyang Normal UniversityShenyang 110034P.R.China

Stability analysis and stabilization for discrete-time singular delay systems are addressed,***,a sufficient condition for regularity,causality and stability for discrete-time singular delay systems is ***,by applying the skill of matrix theory,the state feedback controller is designed to guarantee the closed-loop discrete-time singular delay systems to be regular,casual and ***,numerical examples are given to demonstrate the effectiveness of the proposed method.

关键词： discrete-time singular systems delay stability stabilization.

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Reliable H∞ Control for discrete-time singular systems with Infinite Distributed Delays

Reliable H∞ Control for Discrete-time Singular Systems with...

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2011 Chinese Control and Decision Conference（CCDC）

作者： Jiemei Zhao,Lijun Zhang are with College of Automation,Harbin Engineering University,Harbin 150001,P.R.China.Xian Zhang is with School of Mathematical Science,Heilongjiang University,Harbin 150080,P.R.China.

In this paper,the reliable H∞ control problem is investigated for discrete-time singular systems with time delays and actuator *** time-delays are assumed to be infinitely distributed in the discrete-time *** purpose is to design a controller such that,for the admissible infinite distributed delays and possible actuator failures,the closed-loop system is regular,causal and stable with a given disturbance attenuation level γ.A numerical example illustrates the validity of the proposed approach.

关键词： discrete-time singular systems Reliable H∞ control Infinite distributed delays

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Quasi-Min-Max Model Predictive Control for discrete-time singular systems with Input-to-State Stability

Quasi-Min-Max Model Predictive Control for Discrete-Time Sin...

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2015年中国智能自动化学术会议

作者： Chan Gao Xiao-Hua Liu School of Mathematics and Statistics Science

The paper concerns robust quasi-min-max model predictive control for a class of discrete-time singular systems with input constrains and persistent *** deal with the persistent disturbance, we introduce the notion of input-to-state stability of discrete-time singular system for the first time. The optimal control can be obtained by solving a quasi-min-max optimal problem of a finite horizon cost *** the basis of the proposed dual-mode MPC approach, it can be proved that the closedloop discrete-time singular system is input-to-state stability. Finally, a numerical simulation shows the feasibility and the effectiveness of the proposed method.

关键词： Model predictive control(MPC) discrete-time singular systems Input-to-state stability(ISS) Persistent disturbance Dual-mode approach

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H∞ observer design for discrete-time singular systems with time-varying delay

H∞ observer design for discrete-time singular systems with ...

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第36届中国控制会议

作者： Yuxia Yang Chong Lin Bing Chen Jian Chen Institute of Complexity Science Qingdao University School of Science Qingdao University of Technology College of Automation Engineering Qingdao University of Technology

This paper deals with the problem of H∞ full-order observer design for discrete-time linear singular systems with disturbance inputs and time-varying delay in state variables. A delay-dependent sufficient conditions is presented to guarantee the considered observer to be stable and satisfy the prescribed H∞ performance γ. The main procedure is based on LyapunovKrasovskii stability theory, where the optimal gain in the observer is a solution of linear matrix inequalities（LMIs）. A numerical example is given to shown the effectiveness of the presented approach.

关键词： H∞ observer design H∞ performance time-varying delay discrete-time singular systems

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Finite time Functional Observers for discrete-time singular systems with Unknown Inputs

Finite Time Functional Observers for Discrete-time Singular ...

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第二十九届中国控制会议

作者： FENG Jun-ESchool of Mathematics,Shandong University,Jinan,250100,P.R.China

The note considers the problem of finite-time functional observer design for linear discrete-time descriptor systems,which converges in finite time *** some conditions a finite-time observer can be comprised by two rth-order infinite time functional observers and a finite delay,where r is the dimension of output estimated of linear discrete-time descriptor systems.

关键词： Finite time Functional Observer discrete-time singular systems Convergence Delay time

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H∞Control for discrete-time Uncertain singular systems with Interval time-Varying State and Input Delays

H∞Control for Discrete-Time Uncertain Singular Systems with...

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第三十届中国控制会议

作者： CUI Shaochun,ZHU Huanyu,ZHANG Xian School of Mathematical Science,Heilongjiang University,Harbin 150080,P.R.China

This study focuses on the Hcontrol problem of a class of discrete-time uncertain singular systems with interval time-varying state and input delays.A sufficient condition,in the form of linear matrix inequality(LMI) with nonlinear constraints, for the existence of Hstate feedback controller is given by combining Lyapunov approach and LMI *** order to solve the nonlinear problem,a cone complementarity linearization algorithm is *** a medium step,a new bounded real lemma for discrete-time singular systems with a pair of interval time-varying state delays is *** numerical examples are provided to show the applicability of the proposed approach.

关键词： discrete-time singular systems Interval time-varying delay H∞control Bounded real lemma Cone complementarity linearization

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H∞ Control for discrete-time singular Delay systems

H∞ Control for Discrete-Time Singular Delay Systems

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2010 Chinese Control and Decision Conference

作者： Xin Sun~(1,2,3),Qingling Zhang~(1,2),Chunyu Yang~2,Zhan Su~(1,2),Yongyun Shao~3 1.Institute of systems Science,Northeastern University,Shenyang,110004 2.Key Laboratory of Integrated Automation of Process Industry,Ministry of Education,Northeastern University,Shenyang,110004 3.Shenyang Normal University,Shenyang,110034

In this paper,Hcontrol for discrete-time singular delay systems is ***,Hperformance analysis for discrete-time singular delay systems is ***,by applying the skill of matrix theory,Hcontroller design is given to guarantee the closed-loop discrete-time singular delay systems to be regular,casual and stable and satisfy the ***,numerical example is given to demonstrate the effectiveness of the proposed method.

关键词： discrete-time singular systems Delay H∞Control

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Admissibility Analysis for discrete-time Bilinear singular systems Using Bilinear State-Feedback Controller

Admissibility Analysis for Discrete-time Bilinear Singular S...

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第30届中国控制与决策会议

作者： Jiangrong Li Juan Shi College of Mathematics and Computer Science Yanan University College of Engineering and Science Victoria University

In this paper, both the admissibility analysis and the stabilization of discrete-time bilinear singular systems are addressed, respectively. First, a sufficient condition of admissibility of discrete-time singular system is derived. Then by applying the matrix inequality, a bilinear state-feedback controller is designed to guarantee the closed-loop discretetime singular bilinear systems to be admissible. An iterative algorithm making use of sequential linear programming matrix method（SLPMM） to derive a single-step LMI condition for bilinear state-feedback controller design is ***, a numerical example is provided to demonstrate the effectiveness of the method proposed in this paper.

关键词： discrete-time singular systems Bilinear system Admissibility

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Robust Control for discrete-time T-S Fuzzy singular systems

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Journal of systems Science & Complexity 2021年第4期34卷 1345-1363页

作者： CHEN Jian YU Jinpeng School of Information and Control Engineering Qingdao University of TechnologyQingdao 266520China School of Automation Qingdao UniversityQingdao 266071China

This paper deals with the robust admissibility and state feedback stabilization problems for discrete-time T-S fuzzy singular systems with norm-bounded *** introducing a new approximation technique,the initial membership functions are conveniently expressed in piecewiselinear functions with the consideration of the approximation *** utilizing the piecewise-linear membership functions,the fuzzy weighting-based Lyapunov function and the use of auxiliary matrices,the admissibility of the systems is determined by examining the conditions at some sample *** conditions can be reduced into the normal parallel distributed compensation ones by choosing special values of some slack ***,the authors design the robust state feedback controller to guarantee the closed-loop system to be *** examples are provided to illustrate the advantage and effectiveness of the proposed method.

关键词： Admissible discrete-time singular systems piecewise-linear membership functions state feedback T-S fuzzy models

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维普期刊数据库

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Reachable Set Estimation for discrete-time T-S Fuzzy singular systems Based on Piecewise Lyapunov Function

Reachable Set Estimation for Discrete-time T-S Fuzzy Singula...

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第30届中国控制与决策会议

作者： Jiangrong Li Juan Shi Zhiguang Feng College of Mathematics and Computer Science Yanan University College of Engineering and Science Victoria University College of Automation Harbin Engineering University

This paper is concerned with the problem of reachable set estimation for discrete-time T-S fuzzy singular systems with bounded input disturbances. Based on the Piecewise Lyapunov Function（PLF） method, a improved sufficient condition is established in terms of Linear Matrix Inequalities（LMIs） to guarantee that the reachable set of discrete-time T-S fuzzy singular systems are bounded by the intersection of ellipsoids. A numerical example is provided to demonstrate the effectiveness of the proposed method in this paper.

关键词： discrete-time singular systems T-S fuzzy systems reachable set estimation Piecewise Lyaunov Function

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