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Abstract

In this paper, the observer design problem for a T-S fuzzy bilinear control system is investigated. First, an observer of Kalman type is designed to estimate the system states for the linear case. Then, some new sufficient conditions are derived to show the exponential convergence of the solutions of the error equation for fuzzy bilinear systems. Furthermore, we consider some uncertainties of the system that are bounded and satisfy a certain condition where an observer is designed. Moreover, an application to Van de Vusse system is given.
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Authors and Affiliations

François Delmotte
1
Nizar Hadj Taieb
2
Mohamed Ali Hammami
3
Houria Meghnafi
3

  1. University of Artois, Bethune, France
  2. University of Sfax, IPEIS Sfax, Tunisia
  3. University of Sfax, Faculty of Sciences of Sfax, Tunisia

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