Analytical structures and stability analysis of the simplest Takagi-Sugeno fuzzy two-term controllers

2019 ◽  
Vol 5 (1) ◽  
pp. 67 ◽  
Author(s):  
Ritu Raj ◽  
B.M. Mohan
Author(s):  
Sucheng Liu ◽  
Xiang Li ◽  
Mengyu Xia ◽  
Qiangdong Qin ◽  
Xiaodong Liu

Author(s):  
Zsófia Lendek ◽  
Thierry Marie Guerra ◽  
Robert Babuška ◽  
Bart De Schutter

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.


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