Title :
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
fDate :
2/1/2002 12:00:00 AM
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;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
