The design of L2-L∞ filter for nonlinear fuzzy stochastic system with time-varying delay

Author

Cai Yixi ; Hua Mingang ; Tan Huasheng

Author_Institution

Coll. of Internet of Things Eng., Hohai Univ., Changzhou, China

fYear

2014

fDate

28-30 July 2014

Firstpage

5311

Lastpage

5316

Abstract

This paper is concerned with the problem of fuzzy filtering of nonlinear fuzzy stochastic systems with time-varying delay. Attention is focused on the design of both the fuzzy-rule-dependent and the fuzzy-rule-independent filters which ensure the error system is asymptotically mean-square stable and a L₂-L_∞ performance is satisfied. Then, to reduce the conservatism, a delay-dependent approach for the existence of L₂-L_∞ filters is developed in terms of linear matrix inequalities(LMIs).

Keywords

asymptotic stability; delays; filtering theory; fuzzy systems; linear matrix inequalities; mean square error methods; nonlinear systems; stochastic systems; L₂-L_∞ filter design; LMI; asymptotic mean-square stability; conservatism reduction; delay-dependent approach; error system; fuzzy filtering problem; fuzzy-rule-dependent filter design; fuzzy-rule-independent filter design; linear matrix inequalities; nonlinear fuzzy stochastic system; time-varying delay; Bismuth; Delay effects; Delays; Fuzzy systems; Stochastic systems; Symmetric matrices; Time-varying systems; Fuzzy Stochastic System; L2-L∞ Filtering; Linear Matrix Inequality; T-S fuzzy systems; Time Delay;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (CCC), 2014 33rd Chinese

Conference_Location

Nanjing

Type

conf

DOI

10.1109/ChiCC.2014.6895845

Filename

6895845