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An algorithm for optimum stability region of fuzzy control systems using genetic algorithms

For a given control system, the region of asymptotic stability is usually the most important thing to be determined. In control engineering problems, a desirable feature is asymptotic stability in the large. For nonlinear systems, the system may be not asymptotically stable in the large, then the problem becomes that of determining the largest region of asymptotic stability that is called the domain of attraction. The purpose of this paper is to determine the most proper Lyapunov function that satisfies the largest domain of attraction of a fuzzy control system using genetic algorithms (GA). A numerical algorithm is introduced to determine the optimum boundaries of the asymptotic stability region using the results of the genetic algorithms.