Finite frequency H_∞ filtering for uncertain discrete-time switched linear systems  

作　　者：Dawei Ding Guanghong Yang 

机构地区：[1]College of Information Science and Engineering, Northeastern University, Shenyang 110004, China [2]Key Laboratory of Integrated Automation of Process Industry, Ministry of Education, Northeastern University, Shenyang 110004, China

出　　处：《Progress in Natural Science:Materials International》2009年第11期1625-1633,共9页自然科学进展·国际材料（英文版）

基　　金：supported in part by the Funds for Creative Research Groups of China(No.60821063);the National Natural Science Foundation of China(Grant Nos. 60534010,60674021);the National Basic Research Program of China(Grant No.2009CB320604);the 111 Project (B08015);the Funds of the PhD program of MOE,China (Grant No.20060145019)

摘　　要：This paper is concerned with the problem of robust H_∞filtering for discrete-time switched linear systems with polytopic uncertainties in the finite frequency domain.Based on the generalized Kalman-Yakubovich-Popov(GKYP) lemma and switched parameter-dependent Lyapunov functions,a switched full-order filter is designed such that the corresponding filtering error system is asymptotically stable and satisfies a prescribed finite frequency H_∞performance index.Compared with the existing full frequency approaches,the proposed finite frequency one receives better results for the cases in which the frequency ranges of noises are known.A numerical example is given to illustrate the effectiveness of the proposed method.This paper is concerned with the problem of robust H∞ filtering for discrete-time switched linear systems with polytopic uncertainties in the finite frequency domain. Based on the generalized Kalman-Yakubovich-Popov （GKYP） lemma and switched parameter-dependent Lyapunov functions, a switched full-order filter is designed such that the corresponding filtering error system is asymptotically stable and satisfies a prescribed finite frequency H∞ performance index. Compared with the existing full frequency approaches, the proposed finite frequency one receives better results for the cases in which the frequency ranges of noises are known. A numerical example is given to illustrate the effectiveness of the proposed method.

关 键 词：Switched systems FILTERING Finite frequency GKYP lemma Linear matrix inequalities （LMIs） 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程] TN713.9[自动化与计算机技术—控制科学与工程]