Decentralized Control of Uncertain Fuzzy Large-Scale System with Time Delay and Optimization

Decentralized Control of Uncertain Fuzzy Large-Scale System with Time Delay and Optimization

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...

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Main Authors: Hang Zhang, Xia Wang, Yi-Jun Wang, Zhao-Mei Sun
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2012/246705
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spelling doaj-1b940d5d4b114d108ef3b7825db0895d2020-11-24T23:46:32ZengHindawi LimitedJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/246705246705Decentralized Control of Uncertain Fuzzy Large-Scale System with Time Delay and OptimizationHang Zhang0Xia Wang1Yi-Jun Wang2Zhao-Mei Sun3School of Information Science and Engineering, Central South University, Changsha 410075, ChinaSchool of Information Science and Engineering, Central South University, Changsha 410075, ChinaSchool of Information Science and Engineering, Central South University, Changsha 410075, ChinaSchool of Information Science and Engineering, Central South University, Changsha 410075, ChinaThis 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 Pi and PDC gain Kij 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.http://dx.doi.org/10.1155/2012/246705
collection DOAJ
language English
format Article
sources DOAJ
author Hang Zhang
Xia Wang
Yi-Jun Wang
Zhao-Mei Sun
spellingShingle Hang Zhang
Xia Wang
Yi-Jun Wang
Zhao-Mei Sun
Decentralized Control of Uncertain Fuzzy Large-Scale System with Time Delay and Optimization
Journal of Applied Mathematics
author_facet Hang Zhang
Xia Wang
Yi-Jun Wang
Zhao-Mei Sun
author_sort Hang Zhang
title Decentralized Control of Uncertain Fuzzy Large-Scale System with Time Delay and Optimization
title_short Decentralized Control of Uncertain Fuzzy Large-Scale System with Time Delay and Optimization
title_full Decentralized Control of Uncertain Fuzzy Large-Scale System with Time Delay and Optimization
title_fullStr Decentralized Control of Uncertain Fuzzy Large-Scale System with Time Delay and Optimization
title_full_unstemmed Decentralized Control of Uncertain Fuzzy Large-Scale System with Time Delay and Optimization
title_sort decentralized control of uncertain fuzzy large-scale system with time delay and optimization
publisher Hindawi Limited
series Journal of Applied Mathematics
issn 1110-757X
1687-0042
publishDate 2012-01-01
description 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 Pi and PDC gain Kij 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.
url http://dx.doi.org/10.1155/2012/246705
work_keys_str_mv AT hangzhang decentralizedcontrolofuncertainfuzzylargescalesystemwithtimedelayandoptimization
AT xiawang decentralizedcontrolofuncertainfuzzylargescalesystemwithtimedelayandoptimization
AT yijunwang decentralizedcontrolofuncertainfuzzylargescalesystemwithtimedelayandoptimization
AT zhaomeisun decentralizedcontrolofuncertainfuzzylargescalesystemwithtimedelayandoptimization
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