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Type: Conference paper
Title: Stability and stabilization of T-S fuzzy systems with time-varying delay: an input-output approach
Author: Zhao, L.
Gao, H.
Shi, P.
Citation: Proceedings of the 50th IEEE Conference on Decision and Control and European Control Conference (CDC-ECC), 2011 / pp.8285-8290
Publisher: IEEE
Publisher Place: USA
Issue Date: 2011
ISBN: 9781612848013
ISSN: 0191-2216
Conference Name: IEEE Conference on Decision and Control and European Control Conference (50th : 2011 : Orlando, Florida)
Statement of
Lin Zhao and Huijun Gao and Peng Shi
Abstract: 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 H∞ 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.
Rights: ©2011 IEEE
RMID: 0020128408
DOI: 10.1109/CDC.2011.6160924
Appears in Collections:Electrical and Electronic Engineering publications

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