Stabilization of Delayed 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 the problem of delay-dependent stability and stabilization of Takagi–Sugeno (T-S) fuzzy systems with a time-varying delay while imposing positivity in closed-loop. The stabilization conditions are derived using single Lyapunov–Krasovskii Functional (LKF) combining the introduction of free-single matrices. A memory feedback control is also used, in case the delay matrix is not nonnegative. An example of a real plant is studied to show the advantages of the design procedures.


Delay-dependent Design Continuous-time Fuzzy Systems Real Plant Unsaturated Control Time-varying Continuous Function 
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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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