TY - GEN
T1 - New delay-dependent stability analysis and stabilizing design for T-S fuzzy systems with a time-varying delay
AU - Liu, Fang
AU - Wu, Min
AU - He, Yong
AU - Zhou, Yicheng
AU - Yokoyama, Ryuichi
PY - 2008
Y1 - 2008
N2 - This paper focuses on the asymptotic stability and the state feedback control for T-S fuzzy systems with a time-varying delay by employing an improved free-weighting matrix approach. By taking the relationship among the time-varying delay, its upper bound and their difference into account, a new less conservative delay-dependent stability criteria are obtained without ignoring any useful terms in the derivative of Lyapunov-Krasovskii functional. As a result, a design method of a state feedback controller is formulated for T-S fuzzy systems with a time-varying delay based on the result of stability analysis. Finally, two numerical examples are given to demonstrate the effectiveness and the merits of the proposed methods.
AB - This paper focuses on the asymptotic stability and the state feedback control for T-S fuzzy systems with a time-varying delay by employing an improved free-weighting matrix approach. By taking the relationship among the time-varying delay, its upper bound and their difference into account, a new less conservative delay-dependent stability criteria are obtained without ignoring any useful terms in the derivative of Lyapunov-Krasovskii functional. As a result, a design method of a state feedback controller is formulated for T-S fuzzy systems with a time-varying delay based on the result of stability analysis. Finally, two numerical examples are given to demonstrate the effectiveness and the merits of the proposed methods.
KW - Asymptotic stability
KW - Design method
KW - State feedback
KW - T-S fuzzy systems
KW - Time-varying delay
UR - http://www.scopus.com/inward/record.url?scp=52449087720&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=52449087720&partnerID=8YFLogxK
U2 - 10.1109/CHICC.2008.4605411
DO - 10.1109/CHICC.2008.4605411
M3 - Conference contribution
AN - SCOPUS:52449087720
SN - 9787900719706
SP - 340
EP - 344
BT - Proceedings of the 27th Chinese Control Conference, CCC
T2 - 27th Chinese Control Conference, CCC
Y2 - 16 July 2008 through 18 July 2008
ER -