Relaxed Stabilization Conditions for Time Delayed Takagi-Sugeno Systems

This paper tackles the stabilization of Takagi Sugeno (TS) fuzzy systems with time delay. In this work, we will use a weighted function to bound the time-derivative of membership functions. In addition, we will introduce slack matrices to obtain more flexible stability conditions from a computationa...

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Bibliographic Details
Main Authors: Abdelkrim, Rihab, Wardi, Mohamed Lazhar, Gassara, Hamdi, Chaabane, Mohamed, Abdelkrim, Mohamed Naceur
Format: Conference Proceeding
Language:English
Subjects:
Control design
Delay effects
Fuzzy systems
Linear matrix inequalities
Linear matrix inequalities (LMIs)
Lyapunov function
Stability
Stability analysis
Stabilization
Takagi-Sugeno model
Takagi-Sugeno systems
Time delay
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Summary:This paper tackles the stabilization of Takagi Sugeno (TS) fuzzy systems with time delay. In this work, we will use a weighted function to bound the time-derivative of membership functions. In addition, we will introduce slack matrices to obtain more flexible stability conditions from a computational point of view. Then, the stability approach will be extended to design a control that ensure the global closed loop stability for the time-delayed T-S system. Finally, real application (truck-trailer) is given to illustrate the effectiveness of the proposed approach.
ISSN:2474-0446
DOI:10.1109/SSD49366.2020.9364135