Output-feedback control of interval type-2 fuzzy systems

Author

Sun Xingjian ; Pan Yingnan ; Lam Hak-Keung ; Li Hongyi

Author_Institution

Math. & Phys., BoHai Univ., Jinzhou, China

fYear

2014

fDate

28-30 July 2014

Firstpage

4446

Lastpage

4451

Abstract

This paper is concerned with the problem of output feedback controller design for interval type-2 (IT2) fuzzy systems with mismatch membership functions. The IT2 fuzzy system and the IT2 output feedback controller do not share the same membership function. Firstly, the IT2 Takagi-Sugeno (T-S) fuzzy model and the controller are constructed by considering the mismatch membership functions. Secondly, based on Lyapunov stability theory, the IT2 output feedback controller is designed to guarantee the closed-loop system is asymptotically stable with H_∞ performance. The existence conditions of the controller are obtained in terms of the convex optimization problems, which can be solved by standard software. Finally, simulation result is provided to illustrate the effectiveness of the proposed method.

Keywords

H^∞ control; Lyapunov methods; asymptotic stability; control system synthesis; convex programming; feedback; fuzzy control; H_∞ performance; IT2 fuzzy systems; Lyapunov stability theory; T-S model; Takagi-Sugeno model; asymptotic stability; closed-loop system; convex optimization problems; interval type-2 fuzzy systems; mismatch membership functions; output feedback controller design; standard software; Educational institutions; Electronic mail; Fuzzy systems; Nonlinear systems; Output feedback; Stability analysis; Fuzzy control; H∞ control; Interval type-2 fuzzy system; Lyapunov stability theory;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (CCC), 2014 33rd Chinese

Conference_Location

Nanjing

Type

conf

DOI

10.1109/ChiCC.2014.6895685

Filename

6895685