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应用科学学报 >

2011 , Vol. 29 >Issue 3: 316 - 324

DOI: https://doi.org/10.3969/j.issn.0255-8297.2011.03.016

控制与系统

多状态时变时滞线性切换系统的鲁棒二次镇定H1 控制

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  • 1. 大连大学信息工程学院，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，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: 2010-11-04

  修回日期: 2011-01-04

  网络出版日期: 2011-05-30

基金资助

国家自然科学基金(No. 30870573，No.60971107)；辽宁省教育厅2011年度高等学校科研项目基金资助

收起

Robust Quadratic Stabilization H1 Control for a Class of Linear Switched Systems with Multiple Time-Varying Delays in State
and Input

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

Received date: 2010-11-04

  Revised date: 2011-01-04

  Online published: 2011-05-30

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摘要

基于LMI和H1 控制理论，研究了一类具有不确定和时滞的线性切换系统的鲁棒二次镇定H1 控制问题. 利用多Lyapunov函数技术构造线性矩阵不等式，在基于状态的切换规则下，给出了这类系统鲁棒二次镇定且具有H1 性能界的充分条件，以及切换规则和鲁棒H1 切换控制器的设计方案. 最后用数值例子对所得结果加以验证，表明了文中给出结果的有效性.

关键词： 时滞切换系统; 二次镇定; H1 控制; 多Lyapunov函数; 线性矩阵不等式

本文引用格式

孙文安， 张洋， 裴炳南， 张强 . 多状态时变时滞线性切换系统的鲁棒二次镇定H1 控制[J]. 应用科学学报, 2011 , 29(3) : 316 -324 . DOI: 10.3969/j.issn.0255-8297.2011.03.016

Abstract

This paper addresses the problem of robust quadratic stabilization H∞control for a class of linear switched systems with uncertain multiple time-varying delays in state and input based on LMI and H∞theory. Based on multiple Lyapunov function techniques and by constructing linear matrix inequalities, several sufficient conditions for the problem to be solvable are derived by using a state-based switching law. Meanwhile,
robust H∞controllers for each subsystem and switching law are designed. A numerical example shows effectiveness of the method.

Key words： time-delay switched systems; quadratic stabilization; H1 control; multiple Lyapunov function; linear matrix inequality (LMI)

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