Local stability of open- and closed-loop fuzzy systems

Author

Sala, A. ; Ariño, C.

Author_Institution

Dept. of Syst. Eng. & Control, Tech. Univ. of Valencia

fYear

2006

fDate

4-6 Oct. 2006

Firstpage

2384

Lastpage

2389

Abstract

In many current fuzzy control papers, LMI stability conditions are devised in order to prove stability of Takagi-Sugeno fuzzy systems. Such laws are usually independent of the values of membership functions, and fulfil for multiple shapes of them. Knowledge of the shape of the membership functions may allow lifting some conservativeness. In particular, in this paper local quadratic stability results are obtained, even in the case global quadratic-stability related LMIs are infeasible

Keywords

Lyapunov matrix equations; closed loop systems; fuzzy systems; linear matrix inequalities; open loop systems; optimisation; stability; LMI optimization; LMI stability conditions; Lyapunov stability; Takagi-Sugeno fuzzy systems; closed-loop fuzzy systems; fuzzy control papers; membership functions; open-loop fuzzy system; quadratic stability; Bismuth; Context modeling; Fuzzy control; Fuzzy sets; Fuzzy systems; Intelligent control; Lyapunov method; Shape; Stability; Takagi-Sugeno model; LMI optimization; Lyapunov stability; T-S fuzzy models; local control;

fLanguage

English

Publisher

ieee

Conference_Titel

Computer Aided Control System Design, 2006 IEEE International Conference on Control Applications, 2006 IEEE International Symposium on Intelligent Control, 2006 IEEE

Conference_Location

Munich

Print_ISBN

0-7803-9797-5

Electronic_ISBN

0-7803-9797-5

Type

conf

DOI

10.1109/CACSD-CCA-ISIC.2006.4777013

Filename

4777013