Center Manifold Theory Approach to the Stability Analysis of Fuzzy Control Systems

  • Authors:
  • Radu-Emil Precup;Stefan Preitl;Stefan Solyom

  • Affiliations:
  • -;-;-

  • Venue:
  • Proceedings of the 6th International Conference on Computational Intelligence, Theory and Applications: Fuzzy Days
  • Year:
  • 1999

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Abstract

The paper proposes a stability analysis method based on the application of the center manifold theory belonging to the state-space methods to the stability analysis of fuzzy control systems. The methods considers a linearized mathematical model of the second order nonlinear plant, and its only constraint is in the smooth character of the right-hand term of the state-space equations of the controlled plant. The method is exemplified by applying it to the stability analysis of a state feedback fuzzy control system meant for the position control of an electrohydraulic servosystem.