Stability and stabilization of Takagi-Sugeno fuzzy systems

Author

Akar, Mehmet ; Özguner, Ümit

Author_Institution

Dept. of Electr. Eng., Ohio State Univ., Columbus, OH, USA

Volume

5

fYear

1999

fDate

1999

Firstpage

4840

Abstract

This paper discusses stability and stabilization of discrete-time and continuous-time Takagi-Sugeno fuzzy systems. Conditions on stability of the open-loop fuzzy system are derived via the concepts of vector Lyapunov functions and M-matrices. Two different quadratic and norm-like Lyapunov functions are employed for the subsystems to derive conditions on stability of the fuzzy system. Unlike continuous time fuzzy system, different Lyapunov functions generate different results for discrete-time fuzzy systems, quadratic Lyapunov generating the superior of the two. Following a similar approach, stabilization of the open-loop fuzzy system using local parallel distributed compensators is investigated

Keywords

Lyapunov methods; compensation; distributed control; fuzzy control; matrix algebra; stability criteria; M-matrices; T-S fuzzy systems; continuous-time Takagi-Sugeno fuzzy systems; discrete-time Takagi-Sugeno fuzzy systems; local parallel distributed compensators; norm-like Lyapunov function; open-loop fuzzy system; quadratic Lyapunov function; stability conditions; stabilization; vector Lyapunov functions; Eigenvalues and eigenfunctions; Fuzzy control; Fuzzy sets; Fuzzy systems; Intelligent transportation systems; Linear systems; Lyapunov method; Stability; Symmetric matrices; Takagi-Sugeno model;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1999. Proceedings of the 38th IEEE Conference on

Conference_Location

Phoenix, AZ

ISSN

0191-2216

Print_ISBN

0-7803-5250-5

Type

conf

DOI

10.1109/CDC.1999.833309

Filename

833309