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Robust stabilization of nonlinear systems based on a switched fuzzy control law

Abstract : This paper deals with robust stabilization of nonlinear systems represented by uncertain and disturbed switched Takagi-Sugeno fuzzy systems. First, stabilization of uncertain switched fuzzy systems is considered without external disturbances. A stabilization criterion is proposed as sufficient Linear Matrix Inequality (LMI) conditions. These ones allow designing a switched parallel distributed compensation fuzzy control law based on a candidate switched Lyapunov function. Then, an extension to systems subject to external disturbances is provided based on a H-infinity criterion. To illustrate the effectiveness of the proposed stabilization criterion and controller design approaches, a designed numerical example is studied and some simulations are provided.
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Submitted on : Thursday, February 21, 2013 - 10:30:13 PM
Last modification on : Thursday, February 13, 2020 - 10:21:10 AM
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Dalel Jabri, Kevin Guelton, Noureddine Manamanni, Abdelhafidh Jaadari, Cuong-Duong Chinh. Robust stabilization of nonlinear systems based on a switched fuzzy control law. Journal of Control Engineering and Applied Informatics, SRAIT, 2012, 14 (2), pp.40-49. ⟨hal-00793243⟩

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