Stability Analysis of Fuzzy and Other Nonlinear Systems Based on the Method of Convex Decomposition

  • Authors:

  • Rainer Knicker

  • Affiliations:

  • -

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

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Abstract

The Convex Decomposition Stability Analysis Method (CDS method), a computer aided method for strictly proving stability, is developed further in this paper. It can now be applied to control systems consisting of a piecewise linearized pljint, with a piecewise multiaffine discrete-time control law. The idea of the Convex Enclosure has been further developed and realized for applications. The efficiency of the method is demonstrated by applying it to a fuzzy control system.