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应用科学学报 >

2011 , Vol. 29 >Issue 1: 97 - 104

DOI: https://doi.org/10.3969/j.issn.0255-8297.2011.01.017

控制与系统

多状态时滞线性离散切换系统的二次稳定保成本控制

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  • 1．大连大学信息工程学院，辽宁大连116622
    2．大连大学先进设计与智能计算省部共建教育部重点实验室，辽宁大连116622
孙文安，博士，教授，研究方向：切换系统、网络控制系统与鲁棒控制等，E-mail: sunwenan@126.com

收稿日期: 2010-10-11

  修回日期: 2010-12-05

  网络出版日期: 2011-01-25

基金资助

国家自然科学基金(No.30870573, No.60971107)；辽宁省教育厅高等学校科研项目基金(No.2009A067)资助

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Quadratic Stability Guaranteed Cost Control for Linear Discrete-Time Switched Systems with Multiple State Time-Delays  

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  • 1. College of Information Engineering, Dalian University, Dalian 116622, Liaoning Province, China
    2. Key Laboratory of Advanced Design and Intelligent Computing , Ministry of Education,Dalian University, Dalian 116622, Liaoning Province, China

Received date: 2010-10-11

  Revised date: 2010-12-05

  Online published: 2011-01-25

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摘要

 本文基于线性矩阵不等式(LMI)理论研究一类具有不确定和时滞的线性离散切换系统的二次稳定保成本控制问题. 利用多Lyapunov函数构造线性矩阵不等式，基于状态的切换规则给出了这类系统二次稳定保成本控制的充分条件，以及切换规则和切换控制器的设计方案. 数值计算验证了文中结果的有效性.

关键词： 切换系统；时滞；稳定性；反馈；矩阵不等式

本文引用格式

孙文安1， 杨寅1， 裴炳南1， 张强2 . 多状态时滞线性离散切换系统的二次稳定保成本控制[J]. 应用科学学报, 2011 , 29(1) : 97 -104 . DOI: 10.3969/j.issn.0255-8297.2011.01.017

Abstract

This paper addresses quadratic stability guaranteed cost control for a class of linear discrete-time switched systems with uncertain multiple time-delays in state and input based on LMI theory. By using multiple Lyapunov functions and constructing linear matrix inequalities, several sufficient conditions for the problem under study is derived with a state-based switching law. Controllers of the subsystems are designed and the switching law obtained simultaneously. A numerical example shows effectiveness of the method.

Key words： switched systems; time-delays; stability; feedback; matrix inequality

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