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Type: Conference paper
Title: Induced ℓ2 control of discrete-time Takagi-Sugeno fuzzy systems with time-varying delays via dynamic output feedback
Other Titles: Induced l2 control of discrete-time Takagi-Sugeno fuzzy systems with time-varying delays via dynamic output feedback
Author: Su, X.
Shi, P.
Wu, L.
Karimi, H.
Yang, R.
Citation: 51st IEEE Conference on Decision and Control, held on December 10-13,2012, Maui, Hawaii: final program and book of abstracts: pp.6199-6204
Publisher: IEEE
Publisher Place: USA
Issue Date: 2012
Series/Report no.: IEEE Conference on Decision and Control
ISBN: 9781467320641
ISSN: 0743-1546
Conference Name: IEEE Conference on Decision and Control (51st : 2012 : Maui, Hawaii)
Statement of
Xiaojie Su, Peng Shi, Ligang Wu, Hamid Reza Karimi and Rongni Yang
Abstract: This paper is concerned with analyzing a novel model transformation of discrete-time Takagi-Sugeno (T-S)fuzzy systems with time-varying delays and applying it to dynamic output feedback (DOF) controller design. A new auxiliary model is proposed by employing a new approximation for time-varying delay state, and then delay partitioning method is used to analyze the scaled small gain of this auxiliary model. A sufficient condition on discrete-time T-S fuzzy systems with time-varying delays, which guarantees the corresponding closed-loop system to be asymptotically stable and has an induced ℓ2 disturbance attenuation performance, is derived by employing the scaled small gain theorem. Then the solvability condition for the induced ℓ2 DOF control is also established, by which the DOF controller can be found by solving a set of linear matrix inequalities (LMIs).
Keywords: Closed loop systems
delay systems
educational institutions
fuzzy systems
output feedback
time varying systems
Rights: © 2012 IEEE
DOI: 10.1109/CDC.2012.6426783
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Electrical and Electronic Engineering publications

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