TY - JOUR
T1 - Global stability condition of fuzzy model-based controllers via evolutionary computation
AU - Udawatta, Lanka
AU - Watanabe, Keigo
AU - Kiguchi, Kazuo
AU - Izumi, Kiyotaka
PY - 2002/12/31
Y1 - 2002/12/31
N2 - This paper presents a new concept for solving fuzzy controller stability problems on matrix inequalities via evolutionary computation (EC). Gain scheduling problem of a multi-model fuzzy system, which satisfies the Lyapunov stability criteria, is solved. The generalized eigenvalue problem (GEVP) can be directly introduced into 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). Examples for illustrating the proposed methodology are taken into consideration and the results show the effectiveness.
AB - This paper presents a new concept for solving fuzzy controller stability problems on matrix inequalities via evolutionary computation (EC). Gain scheduling problem of a multi-model fuzzy system, which satisfies the Lyapunov stability criteria, is solved. The generalized eigenvalue problem (GEVP) can be directly introduced into 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). Examples for illustrating the proposed methodology are taken into consideration and the results show the effectiveness.
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M3 - Conference article
AN - SCOPUS:0036458145
VL - 1
SP - 238
EP - 243
JO - IEEE International Conference on Fuzzy Systems
JF - IEEE International Conference on Fuzzy Systems
SN - 1098-7584
T2 - 2002 IEEE International Conference on Fuzzy Systems: FUZZ-IEEE'02
Y2 - 12 May 2002 through 17 May 2002
ER -