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

Yassine Manai and Mohamed Benrejeb

Mathematical Problems in Engineering, 2012, vol. 2012, 1-18

Abstract:

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.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:836814

DOI: 10.1155/2012/836814

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