Fuzzy approach to H∞ filtering for delayed nonlinear stochastic systems

Author

Ming Gao ; Li Sheng ; Weihai Zhang

Author_Institution

Coll. of Electr. Eng. & Autom., Shandong Univ. of Sci. & Technol., Qingdao, China

fYear

2014

fDate

28-30 July 2014

Firstpage

5306

Lastpage

5310

Abstract

This paper is concerned with the infinite horizon H_∞ filtering problem for nonlinear stochastic systems with time-delay. For general delayed nonlinear stochastic systems, the conditions of H_∞ filtering are usually given in terms of Hamilton-Jacobi inequalities (HJIs), which are difficult to solve. In this paper, the delayed nonlinear stochastic systems are modeled based on the T-S fuzzy model. The exponential mean square H_∞ filter of delayed nonlinear stochastic systems is proposed via solving a set of linear matrix inequalities (LMIs) instead of HJIs. A numerical example is presented to show the effectiveness of the proposed method.

Keywords

H_∞ filters; delay systems; fuzzy control; infinite horizon; linear matrix inequalities; nonlinear control systems; stochastic systems; HJI; Hamilton-Jacobi inequalities; LMI; T-S fuzzy model; delayed nonlinear stochastic system; exponential mean square H_∞ filter; infinite horizon H_∞ filtering problem; linear matrix inequalities; time delay; Educational institutions; Linear matrix inequalities; Nonlinear systems; Numerical models; Robustness; Stochastic systems; Symmetric matrices; H∞ filtering; T-S fuzzy model; linear matrix inequalities; nonlinear stochastic systems; time-delay;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (CCC), 2014 33rd Chinese

Conference_Location

Nanjing

Type

conf

DOI

10.1109/ChiCC.2014.6895844

Filename

6895844