TY - GEN
T1 - Stability and stabilization of T-S fuzzy systems with time-varying delay
T2 - 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011
AU - Zhao, Lin
AU - Gao, Huijun
AU - Shi, Peng
PY - 2011
Y1 - 2011
N2 - An input-output approach to the stability and stabilization of Takagi-Sugeno (T-S) fuzzy system with time-varying delay is proposed in this paper. A novel method is employed to approximate the time-varying delay. Thus the considered system can be formulated into a feedback interconnection form, which contains a constant time-delayed forward subsystem. Then based on the scaled small gain theorem, the problem reduces to studies of the bounded real property and H1 control problem of the scaled forward subsystem. Some effective techniques used to be applied to the constant time delay systems are now utilized to solve the time-varying case. By virtue of this conversion, less-conservative stability criteria and stabilization methods via Parallel Distributed Compensation (PDC) scheme are obtained. Numerical experiments are performed to illustrate the advantage of the proposed techniques.
AB - An input-output approach to the stability and stabilization of Takagi-Sugeno (T-S) fuzzy system with time-varying delay is proposed in this paper. A novel method is employed to approximate the time-varying delay. Thus the considered system can be formulated into a feedback interconnection form, which contains a constant time-delayed forward subsystem. Then based on the scaled small gain theorem, the problem reduces to studies of the bounded real property and H1 control problem of the scaled forward subsystem. Some effective techniques used to be applied to the constant time delay systems are now utilized to solve the time-varying case. By virtue of this conversion, less-conservative stability criteria and stabilization methods via Parallel Distributed Compensation (PDC) scheme are obtained. Numerical experiments are performed to illustrate the advantage of the proposed techniques.
UR - https://www.scopus.com/pages/publications/84860653759
U2 - 10.1109/CDC.2011.6160924
DO - 10.1109/CDC.2011.6160924
M3 - 会议稿件
AN - SCOPUS:84860653759
SN - 9781612848006
T3 - Proceedings of the IEEE Conference on Decision and Control
SP - 8285
EP - 8290
BT - 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011
PB - Institute of Electrical and Electronics Engineers Inc.
Y2 - 12 December 2011 through 15 December 2011
ER -