Piecewise quadratic stability of fuzzy systems

  • Authors:
  • M. Johansson;A. Rantzer;K. -E. Arzen

  • Affiliations:
  • Dept. of Autom. Control, Lund Inst. of Technol.;-;-

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

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Abstract

Presents an approach to stability analysis of fuzzy systems. The analysis is based on Lyapunov functions that are continuous and piecewise quadratic. The approach exploits the gain-scheduling nature of fuzzy systems and results in stability conditions that can be verified via convex optimization over linear matrix inequalities. Examples demonstrate the many improvements over analysis based on a single quadratic Lyapunov function. Special attention is given to the computational aspects of the approach and several methods to improve the computational efficiency are described