Stability analysis of T–S fuzzy models for nonlinear multiple time-delay interconnected systems

2004 ◽  
Vol 66 (6) ◽  
pp. 523-537 ◽  
Author(s):  
C.W. Chen ◽  
W.L. Chiang ◽  
F.H. Hsiao
Author(s):  
WEI-LING CHIANG ◽  
CHENG-WU CHEN ◽  
FENG-HSIAG HSIAO

This paper is concerned with the stability problem of nonlinear interconnected systems. Each of them consists of a few interconnected subsystems which are approximated by Takagi–Sugeno (T–S) type fuzzy models. In terms of Lyapunov's direct method, a stability criterion is derived to guarantee the asymptotic stability of interconnected systems. It is shown that the stability analysis problems of nonlinear interconnected systems can be reduced to linear matrix inequality (LMI) problems via suitable Lyapunov functions and T–S fuzzy techniques. Finally, numerical examples with simulations are given to demonstrate the validity of the proposed approach.


2008 ◽  
Vol 9 (1) ◽  
pp. 104-110 ◽  
Author(s):  
Feng-Hsiag Hsiao ◽  
Sheng-Dong Xu ◽  
Chia-Yen Lin ◽  
Yu-Jun Chou ◽  
Yu-Ching Chen

2018 ◽  
Vol 145 ◽  
pp. 446-451 ◽  
Author(s):  
Qingbin Gao ◽  
Chaoyu Dong ◽  
Hongjie Jia ◽  
Zhenyu Zhang

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