Robust filter design for switched linear parameter-varying systems

Author

Jian Li ; Xingze Dai ; Yancheng Li ; Qingyu Su

Author_Institution

Sch. of Autom. Eng., Northeast Dianli Univ., Jilin, China

fYear

2014

fDate

28-30 July 2014

Firstpage

4157

Lastpage

4162

Abstract

This paper considers the problem of robust filter design for switched linear parameter-varying systems. Robust filters are designed such that the estimation error between the output of filters and the output of switched systems is minimized for some disturbances and time-varying parameters.Then, H_∞ performance analysis condition for such problem is presented. By the aid of the parameter-dependent multiple Lyapunov functions method, a procedure of filter design is given in the framework of linear matrix inequality, furthermore, the filter gains are characterized in terms of a solution of a convex optimization problem. Finally, an example is given to illustrated the effectiveness of the proposed method.

Keywords

H^∞ control; Lyapunov methods; filtering theory; linear matrix inequalities; linear systems; optimisation; time-varying systems; H_∞ performance analysis; convex optimization problem; linear matrix inequality; parameter-dependent multiple Lyapunov functions method; robust filter design; switched linear parameter-varying system; time-varying parameters; Educational institutions; Estimation error; Robustness; Switched systems; Switches; Symmetric matrices; H∞ performance; Robust filter; linear parameter-varying; switched systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (CCC), 2014 33rd Chinese

Conference_Location

Nanjing

Type

conf

DOI

10.1109/ChiCC.2014.6895635

Filename

6895635