Title :
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
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;
Conference_Titel :
Decision and Control, 1999. Proceedings of the 38th IEEE Conference on
Conference_Location :
Phoenix, AZ
Print_ISBN :
0-7803-5250-5
DOI :
10.1109/CDC.1999.833309
