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A Switching Controller for Nonlinear Systems via Fuzzy Models

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Adaptive and Natural Computing Algorithms

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Abstract

A Lyapunov based switching control design method for non linear systems using fuzzy models is proposed. The switching controller consists of several linear state feedback controllers; only one of the linear controllers is employed at each moment according to a switching scheme. The gains of the linear state feedback controllers are derived based on Lyapunov stability theory. The fuzzy design model is represented as a set of uncertain linear subsystems and then sufficiency conditions for the system to be globally stabilisable by the switching controller are given. The proposed design method is illustrated trough numerical simulations on the chaotic Lorenz system.

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Author information

Authors and Affiliations

  1. Department of Automatic, University of Biskra, Algeria

    M. Boumehraz

  2. Department of Electronics, University of Setif, Algeria

    K. Benmahammed

Authors
  1. M. Boumehraz
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  2. K. Benmahammed
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Editor information

Editors and Affiliations

  1. Departamento de Engenharia Informática, Universidade de Coimbra, Coimbra, Portugal

    Bernardete Ribeiro

  2. Institut für Informatik, Universität Innsbruck, Innsbruck, Austria

    Rudolf F. Albrecht

  3. Fakulteta za Računalništvo in Informatiko, Univerza v Ljubljani, Ljubljana, Slovenia

    Andrej Dobnikar

  4. Equipe Universitaire de Recherche en Informatique de Saint-Etienne (Groupe de Recherche de Roanne) Institut Universitaire de Technologie de Roanne, Université Jean Monnet, Saint-Etienne, France

    David W. Pearson

  5. Division of Mathematics School of Mathematical and Information Sciences, Coventry University, Coventry, UK

    Nigel C. Steele

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© 2005 Springer-Verlag/Wien

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Boumehraz, M., Benmahammed, K. (2005). A Switching Controller for Nonlinear Systems via Fuzzy Models. In: Ribeiro, B., Albrecht, R.F., Dobnikar, A., Pearson, D.W., Steele, N.C. (eds) Adaptive and Natural Computing Algorithms. Springer, Vienna. https://doi.org/10.1007/3-211-27389-1_29

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  • DOI: https://doi.org/10.1007/3-211-27389-1_29

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-211-24934-5

  • Online ISBN: 978-3-211-27389-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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