TY - JOUR
T1 - Solution to global stability of fuzzy regulators via evolutionary computation
AU - Udawatta, Lanka
AU - Watanabe, Keigo
AU - Kiguchi, Kazuo
AU - Izumi, Kiyotaka
N1 - Copyright:
Copyright 2008 Elsevier B.V., All rights reserved.
PY - 2004/2
Y1 - 2004/2
N2 - A novel approach for solving fuzzy model-based stability problems via evolutionary computation (EC) is presented. Gain scheduling problem of a multi-model fuzzy system that satisfies the Lyapunov stability criteria is solved. The generalized eigenvalue problem (GEVP) can be directly introduced to EC in searching positive definite (PD) or positive semi-definite (PSD) matrices, by making a penalty for an individual that violates the inequality condition in order to solve the nonlinear constraints or linear matrix inequalities (LMIs). Four examples for illustrating the proposed methodology are included and the results show the effectiveness.
AB - A novel approach for solving fuzzy model-based stability problems via evolutionary computation (EC) is presented. Gain scheduling problem of a multi-model fuzzy system that satisfies the Lyapunov stability criteria is solved. The generalized eigenvalue problem (GEVP) can be directly introduced to EC in searching positive definite (PD) or positive semi-definite (PSD) matrices, by making a penalty for an individual that violates the inequality condition in order to solve the nonlinear constraints or linear matrix inequalities (LMIs). Four examples for illustrating the proposed methodology are included and the results show the effectiveness.
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U2 - 10.1016/j.asoc.2003.05.009
DO - 10.1016/j.asoc.2003.05.009
M3 - Article
AN - SCOPUS:2442480664
SN - 1568-4946
VL - 4
SP - 25
EP - 34
JO - Applied Soft Computing Journal
JF - Applied Soft Computing Journal
IS - 1
ER -