Filter design for stochastically perturbed T-S Fuzzy systems

Author

Xiaojie Su ; Peng Shi ; Ligang Wu ; Rongni Yang

Author_Institution

Space Control & Inertial Technol. Res. Center, Harbin Inst. of Technol., Harbin, China

fYear

2013

fDate

12-14 June 2013

Firstpage

1109

Lastpage

1114

Abstract

In this paper, the problem of induced ℓ₂ filter design is investigated for a class of T-S fuzzy Ito stochastic systems. A novel comparison model is introduced by employing a new approximation for time-varying delay state, and then sufficient conditions are proposed for the resulting filtering error system. The desired filter is to be stochastically stable and meets an induced ℓ₂ performance index by solving a convex optimization problem, which can be efficiently solved by standard numerical algorithms.

Keywords

control system synthesis; convex programming; delays; filtering theory; fuzzy systems; perturbation techniques; stochastic systems; time-varying systems; approximation; convex optimization problem; induced ℓ₂ filter design; novel comparison model; standard numerical algorithms; stochastic perturbed T-S fuzzy systems; time-varying delay state; Approximation methods; Bismuth; Delays; Educational institutions; Fuzzy systems; Stochastic systems; Time-varying systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Automation (ICCA), 2013 10th IEEE International Conference on

Conference_Location

Hangzhou

ISSN

1948-3449

Print_ISBN

978-1-4673-4707-5

Type

conf

DOI

10.1109/ICCA.2013.6564997

Filename

6564997