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Stabilization of a class of discrete-time switched systems via observer-based output feedback

控制理论与应用（英文版） 2007年第3期5卷 307-311页

作者： Jiao LI Yuzhong LIU School of Mathematics and systems Science Shenyang Normal University Shenyang Liaoning 110034 China

In this paper, observer-based static output feedback control problem for discrete-time uncertain switched systems is investigated under an arbitrary switching rule. The main method used in this note is combining switched Lyapunov function （SLF） method with Finsler＇s Lemma. Based on linear matrix inequality （LMI） a less conservative stability condition is established and this condition allows extra degree of freedom for stability analysis. Finally, a simulation example is given to illustrate the efficiency of the result.

关键词： discrete-time switched systems Stabilization Uncertainty Output feedback switched Lyapunov function (SLF) Linear matrix inequality (LMI)

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L2 Gain Control Synthesis of discrete-time switched systems with Input time-Delay

L2 Gain Control Synthesis of Discrete-Time Switched Systems ...

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第二十七届中国控制会议

作者： Xie Dongmei,Chen Xiaoxin,Xu Ning Department of Mathematics,School of Sciences,Tianjin University,Tianjin 300072,P.R.China

In this paper,we focus on investigating the L2 gain control synthesis problem of switched systems with input *** on some basic and important lemmas,switched state feedback controllers guaranteeing that the corresponding closed-loop system is uniformly asymptotically stable with an L2 gain smaller thanγis *** the results in this paper are expressed in terms of linear matrix inequalities（LMIs）,which can be easily tested with efficient LMI algorithms.

关键词： discrete-time switched systems Input time-delay switched state feedback Linear matrix inequality (LMI)

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Delay-dependent output feedback H∞ guaranteed cost control for uncertain discrete-time switched systems with multiple time-varying delays

Delay-dependent output feedback H∞ guaranteed cost control ...

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2010 Chinese Control and Decision Conference

作者： Linlin Hou,Guangdeng Zong,Yuqiang Wu Institute of Automation,Qufu Normal University,Qufu 273165,Shandong

This paper deals with the problem of Hguaranteed cost control for uncertain discrete-time switched systems with multiple time-varying *** objective is to design a stable Hguaranteed cost controller,which guarantees that the closed-loop system is asymptotically stable with Hperformance and the cost function value is not more than a specified upper bound for all admissible *** resorting to switched Lyapunov function, some delay-dependent sufficient conditions are presented in terms of linear matrix inequalities.A numerical example is provided to demonstrate the effectiveness of the proposed algorithms.

关键词： discrete-time switched systems Multiple time-Varying Delays H∞Guaranteed Cost Control and Output Feedback

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Performance Improvement of discrete-time Linear Control systems Subject to Varying Sampling Rates Using the Tikhonov Regularization Method

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International Journal of Automation and computing 2020年第3期17卷 453-463页

作者： Fernando Agustin Pazos Anibal Zanini Amit Bhaya Department of Electronics and Telecommunication Engineering State University of Rio de JaneiroRua São Fransciso Xavier 524Rio de Janeiro 20550-900Brazil Universidad de Buenos Aires-ITHES-UBA-CONICET Departamento de Ingenieria QuimicaPabellón de IndustriasCiudad UniversitariaBuenos Aires C1428EGAArgentina Department of Electrical Engineering Federal University of Rio de JaneiroPEE/COPPE/UFRJRio de Janeiro 21945-970Brazil

Methods to stabilize discrete-time linear control systems subject to variable sampling rates,i.e.,using state feedback controllers,are well known in the *** recent works address the use of the Tikhonov regularization method,originally designed to attenuate the noise effects on ill-posed problems,with the aim of improving performance and stabilizing approximately controllable dynamical *** by these works,we propose the use of a feedback controller designed using the Tikhonov method to regularize discrete-time linear systems subject to varying sampling *** goal is to minimize an error function,thus improving the performance of the closed loop system and reducing the possibility of *** examples show the effectiveness of the proposed method.

关键词： discrete-time switched systems Tikhonov regularization varying sampling rates discrete-time control systems networked control systems

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维普期刊数据库

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Fault-tolerant Control of Networked Control systems with Packet Dropouts:switched System Approach

Fault-tolerant Control of Networked Control Systems with Pac...

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2009中国控制与决策会议

作者： Dongmei Xie,Yongjun Wu Department of Mathematics,School of Sciences,Tianjin University, Tianjin,China,

＜正＞This paper focuses on the fault-tolerant control（FTC） of networked control systems（NCSs） with packet dropouts using switched system *** basic idea is to model such NCSs as a discrete-time switched system. Thus,the FTC of such NCSs can be reduced to that of switched *** conditions are presented about the stabilization of *** switched state/output feedback controllers can be constructed by solving a set of linear matrix inequalities（LMIs）,which can be easily tested with efficient LMI *** maximum allowable dropout bound can be obtained by solving an optimization problem.

关键词： Networked control systems(NCSs) discrete-time switched systems packet dropouts switched state feedback switched output feedback linear matrix inequality(LMI).

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