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Indirect adaptive fuzzy control for a class of nonaffine nonlinear systems with unknown control directions

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Abstract

This article presents an indirect adaptive fuzzy control scheme for a class of nonlinear uncertain nonaffine systems with unknown control directions. The nonlinear nonaffine system is first transformed into an affine form by using a Taylor series expansion, and then fuzzy systems are employed to approximate the equivalent affine system’s unknown nonlinearities. By modifying the estimated input control gain and using a novel smooth robust control term, a stable well-defined adaptive controller is proposed. Simulation results are provided to illustrate the efficiency of the proposed scheme.

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Authors and Affiliations

  1. LAMEL, Faculty of Science and Technology, University of Jijel, BP. 98, Ouled Aissa, 18000, Jijel Algeria

    Salim Labiod

  2. LAMIH, UMR CNRS 8530, Université de Valenciennes et du Hainaut-Cambrésis, Le Mont Houy, 59313, Valenciennes cedex 9, France

    Thierry Marie Guerra

Authors
  1. Salim Labiod
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  2. Thierry Marie Guerra
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Correspondence to Salim Labiod.

Additional information

Recommended by Editorial Board member Euntai Kim under the direction of Editor Young-Hoon Joo.

Salim Labiod is currently an Associate Professor at the University of Jijel, Algeria. He received his Magister and Ph.D. degrees in Control Engineering from National Polytechnic School of Algiers in 1998 and 2005, respectively. His research interests include nonlinear control, adaptive control, and fuzzy control.

Thierry Marie Guerra is currently a Professor at the University of Valenciennes et du Hainaut-Cambrésis (UVHC), France. He received his Ph.D. degree in Automatic Control from the UVHC in 1991 and the HDR in 1999. His research interests include nonlinear control, fuzzy control, and optimal control.

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Labiod, S., Guerra, T.M. Indirect adaptive fuzzy control for a class of nonaffine nonlinear systems with unknown control directions. Int. J. Control Autom. Syst. 8, 903–907 (2010). https://doi.org/10.1007/s12555-010-0425-z

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  • DOI: https://doi.org/10.1007/s12555-010-0425-z

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