Stabilization of Discrete-Time T–S Fuzzy Positive Systems

  • Abdellah BenzaouiaEmail author
  • Ahmed El Hajjaji
Part of the Studies in Systems, Decision and Control book series (SSDC, volume 8)


This chapter deals with sufficient conditions of asymptotic stability and stabilization for nonlinear discrete-time systems represented by a Takagi-Sugeno type fuzzy model whose state variables take only nonnegative values at all times for any nonnegative initial state. This class of systems is called positive T–S fuzzy systems. The conditions of stabilizability are obtained with state feedback control. This work is based on multiple Lyapunov functions. The results are presented in LMI form. A real plant model is studied to illustrate this technique.


Multiple Lyapunov Functions Real Plant Model Takagi-Sugeno Type Fuzzy Model State Feedback Controller Discrete-time Fuzzy Systems 
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Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  1. 1.Department of PhysicsUniversity of Cadi AyyadMarrakechMorocco
  2. 2.Laboratoire de Modélisation, Information et SystèmesUniversité de Picardie Jules VerneAmiensFrance

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