TY - GEN
T1 - Delay-dependent guaranteed cost control for uncertain T-S fuzzy systems with time-varying delays
AU - Hou, Yi You
AU - Liao, Teh Lu
AU - Yan, Jun Juh
AU - Lien, Chang Hua
PY - 2006
Y1 - 2006
N2 - The problem of guaranteed cost control for uncertain Takagi-Sugeno (T-S) fuzzy systems with time-varying delays is investigated through linear matrix inequality (LMI) approach. Based on Lyapunov-Krasovskii functional theory and LMI technique, a state feedback controller is proposed to stabilize the uncertain T-S fuzzy systems and minimize the guaranteed cost of the closed-loop systems. A delay-dependent stability criterion is derived to guarantee the asymptotical stability of closed-loop systems. By constructing a novel Lyapunov functional, the supplementary requirement that the time-derivative of time-varying delays must be smaller than one is released for the proposed delay-dependent stability criterion. A numerical example is given to verify the validity of the results developed in this paper.
AB - The problem of guaranteed cost control for uncertain Takagi-Sugeno (T-S) fuzzy systems with time-varying delays is investigated through linear matrix inequality (LMI) approach. Based on Lyapunov-Krasovskii functional theory and LMI technique, a state feedback controller is proposed to stabilize the uncertain T-S fuzzy systems and minimize the guaranteed cost of the closed-loop systems. A delay-dependent stability criterion is derived to guarantee the asymptotical stability of closed-loop systems. By constructing a novel Lyapunov functional, the supplementary requirement that the time-derivative of time-varying delays must be smaller than one is released for the proposed delay-dependent stability criterion. A numerical example is given to verify the validity of the results developed in this paper.
UR - http://www.scopus.com/inward/record.url?scp=56149095469&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=56149095469&partnerID=8YFLogxK
M3 - Conference contribution
AN - SCOPUS:56149095469
SN - 0889865515
SN - 9780889865518
T3 - Proceedings of the IASTED International Conference on Modelling, Identification, and Control, MIC
SP - 372
EP - 378
BT - Proceedings of the 25th IASTED International Conference on Modelling, Identification, and Control, MIC 2006
T2 - 25th IASTED International Conference on Modelling, Identification, and Control, MIC 2006
Y2 - 6 January 2006 through 8 January 2006
ER -