Stability Analysis of the Simplest Takagi-Sugeno Fuzzy Control System Using Circle Criterion

2006 ◽  
Author(s):  
Xiaojun Ban ◽  
X.Z. Gao ◽  
Xianlin Huang ◽  
Hang Yin
Keyword(s):  
Control System ◽  
Stability Analysis ◽  
Fuzzy Control ◽  
Fuzzy Control System ◽  
Circle Criterion ◽  
Takagi Sugeno

Stability analysis of the simplest Takagi–Sugeno fuzzy control system using circle criterion

2007 ◽  
Vol 177 (20) ◽  
pp. 4387-4409 ◽  
Author(s):  
Xiaojun Ban ◽  
X.Z. Gao ◽  
Xianlin Huang ◽  
A.V. Vasilakos
Keyword(s):  
Control System ◽  
Stability Analysis ◽  
Fuzzy Control ◽  
Fuzzy Control System ◽  
Circle Criterion ◽  
Takagi Sugeno

Stability Analysis of Nonlinear Dynamic Systems by Nonlinear Takagi–Sugeno–Kang Fuzzy Systems

2013 ◽  
Vol 136 (2) ◽  
Author(s):  
Zahra Namadchian ◽  
Assef Zare ◽  
Ali Namadchian
Keyword(s):  
Control System ◽  
Stability Analysis ◽  
Fuzzy Control ◽  
Limit Cycle ◽  
Phase Margin ◽  
Fuzzy Control System ◽  
Gain Margin ◽  
The Stability ◽  
Takagi Sugeno ◽  
System 1

This paper proposes a systematic procedure to address the limit cycle prediction of a Nonlinear Takagi–Sugeno–Kang (NTSK) fuzzy control system with adjustable parameters. NTSK fuzzy can be linearized by describing function method. The stability of the equivalent linearized system is then analyzed using the stability equations and the parameter plane method. After that the gain–phase margin (PM) tester has been added, then gain margin (GM) and phase margin for limit cycle are analyzed. Using NTSK fuzzy control system can help to have fewer rules. In order to analyze the stability with the same technique of stability analysis, the results of NTSK fuzzy control system will be compared with Dynamic fuzzy control system [1]. Computer simulations show differences between both systems.

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