Stabilization of T–S Fuzzy Systems with Constrained Controls

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


This chapter deals with the extension of the positive invariance approach to nonlinear systems modeled by Takagi–Sugeno fuzzy systems. The saturations on the control signal are taken into account during the design phase. Sufficient conditions of asymptotic stability are given ensuring at the same time that the control is always admissible inside the corresponding polyhedral set. Both a common Lyapunov function and piecewise Lyapunov function are used.


Fuzzy Systems Common Lyapunov Function Positive Innovation Positive Invariance Approach Asymptotic Stability 
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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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