scholarly journals Stability analysis for a class of Takagi–Sugeno fuzzy control systems with PID controllers

2007 ◽  
Vol 46 (1) ◽  
pp. 109-119 ◽  
Author(s):  
Le Hung Lan
1999 ◽  
Vol 7 (5) ◽  
pp. 508-520 ◽  
Author(s):  
F. Cuesta ◽  
F. Gordillo ◽  
J. Aracil ◽  
A. Ollero

2020 ◽  
Vol 18 (2) ◽  
pp. 189
Author(s):  
Radu-Emil Precup ◽  
Stefan Preitl ◽  
Emil M. Petriu ◽  
Raul-Cristian Roman ◽  
Claudia-Adina Bojan-Dragos ◽  
...  

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.


Author(s):  
Kairui Cao ◽  
Kairui Cao ◽  
X.Z. Gao ◽  
X.Z. Gao ◽  
Xianlin Huang ◽  
...  

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