Yassine Manai; Mohamed Benrejeb

New Condition of Stabilization of Uncertain Continuous Takagi-Sugeno Fuzzy System based on Fuzzy Lyapunov Function

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Author(s)

Yassine Manai ^1,* Mohamed Benrejeb ¹

1. LA.R.A. Automatique, National School of Engineer of Tunis, El-Manar University, Tunis, Tunisia

* Corresponding author.

DOI: https://doi.org/10.5815/ijisa.2012.04.03

Received: 2 Apr. 2011 / Revised: 6 Aug. 2011 / Accepted: 29 Oct. 2011 / Published: 8 Apr. 2012

Index Terms

Takagi-Sugeno fuzzy system, uncertain system, Linear Matrix Inequalities LMIs, Fuzzy Lyapunov Function, Parallel Distributed Compensation PDC

Abstract

This paper deals with the stabilization of Takagi-Sugeno fuzzy models. Using non-quadratic Lyapunov function, new sufficient stabilization criteria with PDC controller are established in terms of Linear Matrix Inequality. Finally, a stabilization condition for uncertain system is given.

Cite This Paper

Yassine Manai, Mohamed Benrejeb, "New Condition of Stabilization of Uncertain Continuous Takagi-Sugeno Fuzzy System based on Fuzzy Lyapunov Function", International Journal of Intelligent Systems and Applications(IJISA), vol.4, no.4, pp.19-25, 2012. DOI:10.5815/ijisa.2012.04.03

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International Journal of Intelligent Systems and Applications (IJISA)