Global stability condition of fuzzy model-based controllers via evolutionary computation

This paper presents a new concept for solving fuzzy controller stability problems on matrix inequalities via evolutionary computation (EC). The gain scheduling problem of a multi-model fuzzy system, which satisfies the Lyapunov stability criteria, is solved. The generalized eigenvalue problem can be directly introduced into EC in searching positive definite or positive semi-definite matrices, by making a penalty for an individual, that violates the inequality condition in order to solve the nonlinear constraints or linear matrix inequalities. Examples are given to illustrate the effectiveness of the proposed methodology