Delay-Dependent Robust Stabilization for Nonlinear Large Systems via Decentralized Fuzzy Control
Joint Authors
Yang, Jin-zhao
Duan, Zhi-sheng
Gui, Ting
Jia, Xing-bei
Li, Xiao-gang
Dou, Chun-xia
Bi, Ye-fei
Source
Mathematical Problems in Engineering
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-20, 20 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-06-04
Country of Publication
Egypt
No. of Pages
20
Main Subjects
Abstract EN
A delay-dependent robust fuzzy control approach is developed for a class of nonlinear uncertain interconnected time delay large systems in this paper.
First, an equivalent T–S fuzzy model is extended in order to accurately represent nonlinear dynamics of the large system.
Then, a decentralized state feedback robust controller is proposed to guarantee system stabilization with a prescribed H∞ disturbance attenuation level.
Furthermore, taking into account the time delays in large system, based on a less conservative delay-dependent Lyapunov function approach combining with linear matrix inequalities (LMI) technique, some sufficient conditions for the existence of H∞ robust controller are presented in terms of LMI dependent on the upper bound of time delays.
The upper bound of time-delay and minimized H∞ performance index can be obtained by using convex optimization such that the system can be stabilized and for all time delays whose sizes are not larger than the bound.
Finally, the effectiveness of the proposed controller is demonstrated through simulation example.
American Psychological Association (APA)
Dou, Chun-xia& Duan, Zhi-sheng& Jia, Xing-bei& Li, Xiao-gang& Yang, Jin-zhao& Gui, Ting…[et al.]. 2011. Delay-Dependent Robust Stabilization for Nonlinear Large Systems via Decentralized Fuzzy Control. Mathematical Problems in Engineering،Vol. 2011, no. 2011, pp.1-20.
https://search.emarefa.net/detail/BIM-484511
Modern Language Association (MLA)
Dou, Chun-xia…[et al.]. Delay-Dependent Robust Stabilization for Nonlinear Large Systems via Decentralized Fuzzy Control. Mathematical Problems in Engineering No. 2011 (2011), pp.1-20.
https://search.emarefa.net/detail/BIM-484511
American Medical Association (AMA)
Dou, Chun-xia& Duan, Zhi-sheng& Jia, Xing-bei& Li, Xiao-gang& Yang, Jin-zhao& Gui, Ting…[et al.]. Delay-Dependent Robust Stabilization for Nonlinear Large Systems via Decentralized Fuzzy Control. Mathematical Problems in Engineering. 2011. Vol. 2011, no. 2011, pp.1-20.
https://search.emarefa.net/detail/BIM-484511
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-484511