Robust fuzzy logic control of mechanical systems

  • Authors:

  • Sylvia Kohn-Rich;Henryk Flashner

  • Affiliations:

  • Department of Aerospace and Mechanical Engineering, University of Southern California, 3650 McClintock Avenue, University Park, Los Angeles, CA;Department of Aerospace and Mechanical Engineering, University of Southern California, 3650 McClintock Avenue, University Park, Los Angeles, CA

  • Venue:
  • Fuzzy Sets and Systems - Theme: Fuzzy control
  • Year:
  • 2003

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Abstract

An approach for the design of fuzzy control laws for tracking control of a large class of mechanical systems is proposed. The approach employs the framework of Lyapunov's stability theory to formulate a class of control laws that guarantee convergence of the tracking errors to within specification limits in presence of bounded parameter uncertainties and input disturbances. The proposed control laws possess a large number of parameters and functional relationships to be chosen by the designer according to a methodology developed in the paper. The large number of design degrees of freedom makes the approach suitable for fuzzy logic implementation. A number of fuzzy implementations of the proposed control methodology are provided. All implementations guarantee tracking error convergence to within prespecified performance limits. An extensive simulation study using a model of a two-degree-of-freedom robot manipulator was conducted. Fuzzy and non-fuzzy implementations of the proposed methodology were compared to control laws designed using other design methods. Simulation study results indicate a superiority of the proposed control methodology compared to other approaches. The study also demonstrates better performance of the fuzzy control implementation compared to its non-fuzzy counterpart.