Robust Control of T–S Fuzzy Systems with Time-Varying Delay

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


This chapter aims to design a controller to robustly stabilize uncertain nonlinear systems with time-varying delay and norm-bounded uncertainties via Takagi–Sugeno (T-S) fuzzy model. The stabilization conditions are given in the form of Linear Matrix Inequalities using a single Lyapunov–Krasovskii Functional (LKF) combining the introduction of some relaxation matrices and only one tuning parameter. In comparison with the existing techniques in the literature, the proposed approach gives two great advantages. The first, is the reduction of computational complexity when the number of IF-THEN rules, r, is big. The second, concerns the conservatism reduction. Several examples are given to show the effectiveness and the merits of the design procedure.


Time-varying Delays Conservative Reduction Relaxation Matrices Linear Matrix Inequalities Takagi Sugeno (T-S) 
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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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