On stability of fuzzy systems expressed by fuzzy rules with singleton consequents

  • Authors:
  • M. Sugeno

  • Affiliations:
  • Dept. of Comput. Intelligence & Syst. Sci., Tokyo Inst. of Technol.

  • Venue:
  • IEEE Transactions on Fuzzy Systems
  • Year:
  • 1999

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Abstract

Addresses the issue of stability of a fuzzy system described by fuzzy rules with singleton consequents. It first presents two canonical forms of a fuzzy system: a parametric expression and a state-space expression. A fuzzy system with singleton consequents is found to be a piecewise-polytopic-affine system. Then the paper gives stability theorems for a discrete-time system as well as for a continuous time system. It also gives a brief survey on the stability issues of fuzzy control systems