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Fuzzy adaptive control for a class of nonlinear systems with unknown control gain

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Abstract

This paper deals with the direct adaptive control using fuzzy systems of a class of uncertain SISO nonlinear systems with unknown control gain sign. Within this scheme, a fuzzy system is used to generate directly the control input signal without dynamic system estimation, and the Nussbaum-type function is used to deal with the unknown control gain sign. At first, we present a direct adaptive control scheme for nonlinear systems with the known control gain sign where the parameter adaptation law is driven by tracking and identification errors. Then, this control scheme is generalized for the case of unknown control gain sign. The stability analysis of the closed-loop system is performed using a Lyapunov approach and simulation results are provided to verify the effectiveness of the proposed design.

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Authors and Affiliations

  1. Faculty of Science and Engineering, University of Jijel, 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.

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Labiod, S., Guerra, T.M. Fuzzy adaptive control for a class of nonlinear systems with unknown control gain. Evolving Systems 3, 57–64 (2012). https://doi.org/10.1007/s12530-011-9037-y

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  • DOI: https://doi.org/10.1007/s12530-011-9037-y

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