Anticontrol of chaos for discrete TS fuzzy systems

Author

Li, Zhong ; Park, Jin Bae ; Joo, Young Hoon ; Choi, Yoon Ho ; Chen, Guanrong

Author_Institution

Dept. of Electr. & Electron. Eng., Yonsei Univ., Seoul, South Korea

Volume

49

Issue

2

fYear

2002

fDate

2/1/2002 12:00:00 AM

Firstpage

249

Lastpage

253

Abstract

In this paper, a simple and systematic control design method is proposed for a discrete-time Takagi-Sugeno (TS) fuzzy system, which employs the parallel distributed compensation (PDC) to determine the structure of a fuzzy controller so as to make all the Lyapunov exponents of the controlled TS fuzzy system strictly positive. This approach is proven to be mathematically rigorous for anticontrol of chaos for a TS fuzzy system, in the sense that any given discrete-time TS fuzzy system can be made chaotic by the designed PDC controller along with the mod-operation. A numerical example is included to visualize the anticontrol effect

Keywords

Lyapunov methods; chaos; circuit feedback; compensation; control system synthesis; discrete time systems; fuzzy control; Lyapunov exponents; PDC controller; chaotic control; control design; discrete-time Takagi-Sugeno fuzzy system; fuzzv controller; parallel distributed compensation; Chaos; Control design; Control systems; Feedback control; Fuzzy control; Fuzzy systems; Numerical simulation; Process control; Testing; Visualization;

fLanguage

English

Journal_Title

Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on

Publisher

ieee

ISSN

1057-7122

Type

jour

DOI

10.1109/81.983873

Filename

983873