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2012 Decentralized Control of Uncertain Fuzzy Large-Scale System with Time Delay and Optimization
Hang Zhang, Xia Wang, Yi-Jun Wang, Zhao-Mei Sun
J. Appl. Math. 2012: 1-19 (2012). DOI: 10.1155/2012/246705


This paper studies the decentralized stabilization problem for an uncertain fuzzy large-scale system with time delays. The considered large-scale system is composed of several T-S fuzzy subsystems. The decentralized parallel distributed compensation (PDC) fuzzy control for each subsystem is designed to stabilize the whole system. Based on Lyapunov criterion, some sufficient conditions are proposed. Moreover, the positive definite matrices P i and PDC gain K i j can be solved by linear matrix inequality (LMI) toolbox of Matlab. Then, the optimization design method for decentralized control is also considered with respect to a quadratic performance index. Finally, numerical examples are given and compared with those of Zhang et al., 2004 to illustrate the effectiveness and less conservativeness of our method.


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Hang Zhang. Xia Wang. Yi-Jun Wang. Zhao-Mei Sun. "Decentralized Control of Uncertain Fuzzy Large-Scale System with Time Delay and Optimization." J. Appl. Math. 2012 1 - 19, 2012.


Published: 2012
First available in Project Euclid: 14 December 2012

zbMATH: 1244.93085
MathSciNet: MR2904529
Digital Object Identifier: 10.1155/2012/246705

Rights: Copyright © 2012 Hindawi

Vol.2012 • 2012
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