Robust Stabilization for Continuous Takagi-Sugeno Fuzzy System Based on Observer Design

Robust Stabilization for Continuous Takagi-Sugeno Fuzzy System Based on Observer Design

This paper investigates the influence of a new parallel distributed controller (PDC) on the stabilization region of continuous Takagi-Sugeno (T-S) fuzzy models. Using a nonquadratic Lyapunov function, a new sufficient stabilization criterion is established in terms of linear matrix inequality. The c...

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Veröffentlicht in:Mathematical Problems in Engineering 2012-01, Vol.2012 (2012), p.1676-1693-595
Hauptverfasser: Manai, Yassine, Benrejeb, Mohamed
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description This paper investigates the influence of a new parallel distributed controller (PDC) on the stabilization region of continuous Takagi-Sugeno (T-S) fuzzy models. Using a nonquadratic Lyapunov function, a new sufficient stabilization criterion is established in terms of linear matrix inequality. The criterion examines the derivative membership function; an approach to determine state variables is given based on observer design. In addition, a stabilization condition for uncertain system is given. Finally, numeric simulation is given to validate the developed approach.
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title Robust Stabilization for Continuous Takagi-Sugeno Fuzzy System Based on Observer Design
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