Stability analysis of nonlinear multivariable Takagi-Sugeno fuzzy control systems

1999 ◽  
Vol 7 (5) ◽  
pp. 508-520 ◽  
Author(s):  
F. Cuesta ◽  
F. Gordillo ◽  
J. Aracil ◽  
A. Ollero
Keyword(s):  
Stability Analysis ◽  
Fuzzy Control ◽  
Control Systems ◽  
Takagi Sugeno

scholarly journals A CENTER MANIFOLD THEORY-BASED APPROACH TO THE STABILITY ANALYSIS OF STATE FEEDBACK TAKAGI-SUGENO-KANG FUZZY CONTROL SYSTEMS

2020 ◽  
Vol 18 (2) ◽  
pp. 189
Author(s):  
Radu-Emil Precup ◽  
Stefan Preitl ◽  
Emil M. Petriu ◽  
Raul-Cristian Roman ◽  
Claudia-Adina Bojan-Dragos ◽  
...  
Keyword(s):  
Stability Analysis ◽  
Fuzzy Control ◽  
Control Systems ◽  
State Feedback ◽  
Center Manifold ◽  
Position Control ◽  
Stable State ◽  
Center Manifold Theory ◽  
Manifold Theory ◽  
Takagi Sugeno

The aim of this paper is to propose a stability analysis approach based on the application of the center manifold theory and applied to state feedback Takagi-Sugeno-Kang fuzzy control systems. The approach is built upon a similar approach developed for Mamdani fuzzy controllers. It starts with a linearized mathematical model of the process that is accepted to belong to the family of single input second-order nonlinear systems which are linear with respect to the control signal. In addition, smooth right-hand terms of the state-space equations that model the processes are assumed. The paper includes the validation of the approach by application to stable state feedback Takagi-Sugeno-Kang fuzzy control system for the position control of an electro-hydraulic servo-system.

scholarly journals Stability Analysis of a Type of Takagi-Sugeno PI Fuzzy Control Systems Using Circle Criterion

2011 ◽  
Vol 4 (2) ◽  
pp. 196 ◽  
Author(s):  
Kairui Cao ◽  
Kairui Cao ◽  
X.Z. Gao ◽  
X.Z. Gao ◽  
Xianlin Huang ◽  
...  
Keyword(s):  
Stability Analysis ◽  
Fuzzy Control ◽  
Control Systems ◽  
Circle Criterion ◽  
Takagi Sugeno
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