Robust Output \(H_{\infty }\) Fuzzy Control

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


This chapter addresses robust observer-based \(H_{\infty }\) control problem for Takagi–Sugeno fuzzy systems with time-varying norm bounded uncertainties. Sufficient relaxed conditions for synthesis of a fuzzy observer and a fuzzy controller for T–S fuzzy systems are derived in terms of a set of linear matrix inequalities (LMIs). In comparison with the existing techniques in literature, the proposed approach considerably simplifies the design procedure and gives in only one step the controller and the observer gains. The observer and controller designed are capable to reject the known disturbance assumed but norm bounded. In order to highlight the performance of the proposed control algorithm, numerical simulations are performed.


Fuzzy System Linear Matrix Inequality Fuzzy Model Fuzzy Controller Disturbance Attenuation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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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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