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Decentralized robust stabilization of discrete-time fuzzy large-scale systems with parametric uncertainties: a LMI method
引用本文:Zhang Yougang & Xu Bugong Coll. of Automatic Science & Engineering,South China Univ. of Technology,Guangzhou 510640,P. R. China. Decentralized robust stabilization of discrete-time fuzzy large-scale systems with parametric uncertainties: a LMI method[J]. 系统工程与电子技术(英文版), 2006, 17(4): 836-845. DOI: 10.1016/S1004-4132(07)60025-5
作者姓名:Zhang Yougang & Xu Bugong Coll. of Automatic Science & Engineering  South China Univ. of Technology  Guangzhou 510640  P. R. China
作者单位:Zhang Yougang & Xu Bugong Coll. of Automatic Science & Engineering,South China Univ. of Technology,Guangzhou 510640,P. R. China
基金项目:国家自然科学基金;广东省自然科学基金;中国博士后科学基金
摘    要:1. INTRODUCTION Large-scale dynamic system theory has been intensi- vely studied during the past decade[1~3], but for fuzzy large-scale systems, namely large-scale systems comp- osed of a series of fuzzy subsystems, has been seldom done in literature. In Ref.[4], decentralized stabiliz- ation problem of fuzzy large-scale systems composed of a series of fuzzy subsystems was considered. Sufficient conditions for asymptotic stability of the fuzzy large-scale system and design methods of dec…

收稿时间:6 May 2005. 

Decentralized robust stabilization of discrete-time fuzzy large-scale systems with parametric uncertainties: a LMI method
Zhang Yougang,Xu Bugong. Decentralized robust stabilization of discrete-time fuzzy large-scale systems with parametric uncertainties: a LMI method[J]. Journal of Systems Engineering and Electronics, 2006, 17(4): 836-845. DOI: 10.1016/S1004-4132(07)60025-5
Authors:Zhang Yougang  Xu Bugong
Affiliation:Coll. of Automatic Science & Engineering, South China Univ. of Technology, Guangzhou 510640, P. R. China
Abstract:Decentralized robust stabilization problem of discrete-time fuzzy large-scale systems with parametric uncertainties is considered. This uncertain fuzzy large-scale system consists of N interconnected T-S fuzzy subsystems, and the parametric uncertainties are unknown but norm-bounded. Based on Lyapunov stability theory and decentralized control theory of large-scale system, the design schema of decentralized parallel distributed compensation (DPDC) fuzzy controllers to ensure the asymptotic stability of the whole fuzzy large-scale system is proposed. The existence conditions for these controllers take the forms of LMIs. Finally a numerical simulation example is given to show the utility of the method proposed.
Keywords:fuzzy large-scale system  parametric uncertainties  decentralized Parallel distributed compensation  linear matrix inequalities
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