一类线性切换系统的观测器设计

doi:10.3969/j.issn.0255-8297.2014.01.016

应用科学学报 ›› 2014, Vol. 32 ›› Issue (1): 99-104.doi: 10.3969/j.issn.0255-8297.2014.01.016

一类线性切换系统的观测器设计

杨寅，孙文安，裴炳南

大连大学信息工程学院，辽宁大连116622

收稿日期:2012-02-27 修回日期:2012-04-14 出版日期:2014-01-31 发布日期:2012-04-14
作者简介: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
基金资助:
国家自然科学基金(No.60971107)资助

Observer Design for a Class of Linear Switched Systems

YANG Yin, SUN Wen-an, PEI Bing-nan

College of Information Engineering, Dalian University, Dalian 116622, Liaoning Province, China

Received:2012-02-27 Revised:2012-04-14 Online:2014-01-31 Published:2012-04-14

摘要/Abstract

摘要： 针对一类线性切换系统，研究了状态观测器设计问题. 构造合适的Lyapunov 函数，并利用矩阵不等式得到了保证状态估计误差指数收敛的条件. 在每次切换时让状态发生跳变并设计跳变量，以改善观测系统性能，减小跟踪误差. 给出的仿真算例表明了该设计方法的有效性.

关键词: 切换系统, 未知切换规则, 指数稳定性, 状态观测器

Abstract: This paper focuses on the problem of observer design for a class of linear switched systems. By constructing appropriate Lyapunov functions and using matrix inequalities, conditions of the exponential convergence of the estimated state observer are obtained. Furthermore, by using state jump at certain time when the change of value of the switched law occurs and specifying the value of the state jump, the system performance is improved. It is shown that the convergence rate of the estimation error can be reduced significantly. Simulation results are given to show validity of the state observer.

Key words: switched systems, unknown switched law, exponential stability, state observer

中图分类号:

TP13

杨寅，孙文安，裴炳南. 一类线性切换系统的观测器设计[J]. 应用科学学报, 2014, 32(1): 99-104.

YANG Yin, SUN Wen-an, PEI Bing-nan. Observer Design for a Class of Linear Switched Systems[J]. Journal of Applied Sciences, 2014, 32(1): 99-104.

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一类线性切换系统的观测器设计

Observer Design for a Class of Linear Switched Systems

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