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Stability Analysis Approach For Fuzzy Logic Control Systems With Mamdani Type Fuzzy Logic Controllers

Authors
  • Radu-Emil Precup

    "Politehnica" University of Timisoara, Department of Automation and Applied Informatics

  • Marius L. Tomescu

    "Aurel Vlaicu" University, Computer Science Faculty,

  • Stefan Preitl

    "Politehnica" University of Timisoara, Department of Automation and Applied Informatics

  • Jozsef K. Tar

    Budapest Tech Polytechnical Institution, Institute of Intelligent Engineering Systems

  • Adrian Sebastian Paul

    "Politehnica" University of Timisoara, Department of Automation and Applied Informatics

Abstract
This paper presents a stability analysis approach for a class of nonlinear processes controlled by Mamdani type fuzzy logic controllers (FLCs). The stability analysis is performed in the sense of Lyapunov dedicated resulting in the derivation of an original stability analysis approach that can be used as design method for FLCs with guaranteed stability. Quadratic positive definite Lyapunov functions candidate are employed in this context. The approach is expressed in terms of sufficient stability conditions for fuzzy logic control systems with Mamdani type FLCs. An illustrative example validates the stability analysis approach by designing an FLC to control a nonlinear process
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Published
2007-03-31
Section
Articles