H-infinity filtering for discrete-time switched linear systems under arbitrary switching  

作　　者：Ding, Dawei  Yang, Guanghong  Li, Xiaoli 

机构地区：[1] School of Automation and Electrical Engineering, And Key Laboratory of Advanced Control of Iron and Steel Process [Ministry of Education], University of Science and Technology Beijing, Beijing 100083, China [2] College of Information Science and Engineering, And State Key Laboratory of Integrated Automation for Process Industry, Northeastern University, Shenyang 110004, China

出　　处：《控制理论与应用（英文版）》2011年第2期261-266,共6页

基　　金：supported by the National Natural Science Foundation of China (No. 60974043,61074055);the Fundamental Research Funds for the Central Universities (No. N090604001,N090604002);the China Postdoctoral Science Foundation (No. 20100470203);the Fund of Beijing Excellent Talents Program (No. 2009D013001000016)

摘　　要：This paper is concerned with the problem of H-infinity filtering for discrete-time switched linear systems under arbitrary switching laws.New sufficient conditions for the solvability of the problem are given via switched quadratic Lyapunov functions.Based on Finsler's lemma,two sets of slack variables with special structure are introduced to provide extra degrees of freedom in optimizing the guaranteed H-infinity performance.Compared to the existing methods,the proposed one has better performances and less conservatism.An example is given to illustrate its effectiveness.This paper is concerned with the problem of H-infinity filtering for discrete-time switched linear systems under arbitrary switching laws.New sufficient conditions for the solvability of the problem are given via switched quadratic Lyapunov functions.Based on Finsler's lemma,two sets of slack variables with special structure are introduced to provide extra degrees of freedom in optimizing the guaranteed H-infinity performance.Compared to the existing methods,the proposed one has better performances and less conservatism.An example is given to illustrate its effectiveness.

关 键 词：Switched systems Switched quadratic Lyapunov function Finsler's lemma FILTERING Linear matrix inequality (LMI) 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]