Relaxed Stabilization conditions for Takagi-Sugeno systems

Based on fuzzy Lyapunov function, this paper propose relaxed approaches in control design for uncertain Takagi-Sugeno (T-S) systems. A linear upper bound of time-derivative of membership functions will be used. Consequently, relaxed non-quadratic stability conditions are derived based on the paralle...

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Bibliographic Details
Main Authors: Abdelkrim, Rihab, Wardi, Mohamed Lazhar, Gassara, Hamdi, El Hajjaji, Ahmed, Chaabane, Mohamed, Abdelkrim, Mohamed Naceur
Format: Conference Proceeding
Language:English
Subjects:
Control design
Fuzzy Lyapunov Functions
Fuzzy systems
Linear matrix inequalities
LMI
Lyapunov methods
Robust Control Design
Stability analysis
Takagi-Sugeno model
Takagi-Sugeno Systems
Uncertainty
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Summary:Based on fuzzy Lyapunov function, this paper propose relaxed approaches in control design for uncertain Takagi-Sugeno (T-S) systems. A linear upper bound of time-derivative of membership functions will be used. Consequently, relaxed non-quadratic stability conditions are derived based on the parallel distributed compensation scheme to stabilize T-S systems. Then, uncertainties which are bounded in norm will be introduced and new stabilization conditions for uncertain T-S systems are given. Along this paper, all these approaches will be given in terms of Linear Matrix inequalities (LMI). Numerical examples illustrate the effectiveness and the merit of the proposed robust control design.
ISSN:2474-0446
DOI:10.1109/SSD.2019.8893209