Decentralized mixed H2/H∞ filtering for discrete time fuzzy large-scale systems

被引:2
作者
Zhong, Hua [1 ]
Zhang, Hongbin [1 ,2 ]
Tao, Bingjie [1 ]
Dang, Chuangyin
机构
[1] Univ Elect Sci & Technol China, Sch Elect Engn, Chengdu 610054, Sichuan, Peoples R China
[2] City Univ Hong Kong, Dept Mfg Engn & Engn Management, Kowloon, Hong Kong, Peoples R China
基金
中国国家自然科学基金;
关键词
decentralized; mixed H-2/H-infinity filtering; fuzzy large-scale system; Takagi-Sugeno fuzzy system; INFINITY CONTROLLER-DESIGN; INTERCONNECTED SYSTEMS; STABILITY ANALYSIS; STABILIZATION;
D O I
10.1080/03081079.2010.539976
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
This paper is concerned with decentralized mixed H-2/H-infinity filter design for discrete time fuzzy large-scale systems. Each of them consists of N sub-systems which are represented by Takagi-Sugeno fuzzy models. The main objective is to design stable filters that minimize a guaranteed cost index and to achieve a prescribed H-infinity performance. Based on Lyapunov theory, it is shown that the sufficient conditions guaranteeing stability and achieving prescribed performance are established by solving a set of linear matrix inequalities. A simulation example is also given to show the effectiveness of the present approach.
引用
收藏
页码:513 / 529
页数:17
相关论文
共 21 条
[1]   Delay-Dependent H∞ Filter Design for Discrete-Time Fuzzy Systems With Time-Varying Delays [J].
Chen, Meng ;
Feng, Gang ;
Ma, Haibo ;
Chen, Ge .
IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2009, 17 (03) :604-616
[2]   DECENTRALIZED H-INFINITY CONTROLLER-DESIGN FOR LARGE-SCALE SYSTEMS [J].
CHENG, CF ;
WANG, WJ ;
LIN, YP .
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 1994, 25 (01) :83-95
[3]   Approaches to robust filtering design of discrete time fuzzy dynamic systems [J].
Feng, Gang ;
Chen, Meng ;
Sun, Dong ;
Zhang, Tiejun .
IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2008, 16 (02) :331-340
[4]   New approach to mixed H2/H∞ filtering for polytopic discrete-time systems [J].
Gao, HJ ;
Lam, J ;
Xie, LH ;
Wang, CH .
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2005, 53 (08) :3183-3192
[5]   Stability analysis of fuzzy large-scale systems [J].
Hsiao, FH ;
Hwang, JD .
IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS, 2002, 32 (01) :122-126
[6]  
KHAN UA, 1997, IEEE T SIGNAL PROCES, V56, P4919
[7]   GENERAL DECENTRALIZED STABILIZATION OF LARGE-SCALE LINEAR CONTINUOUS AND DISCRETE TIME-DELAY SYSTEMS [J].
LEE, TN ;
RADOVIC, UL .
INTERNATIONAL JOURNAL OF CONTROL, 1987, 46 (06) :2127-2140
[8]   Robust mixed H2/H∞ filtering for time-delay fuzzy systems [J].
Lin, Yu-Cheng ;
Lo, Ji-Chang .
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2006, 54 (08) :2897-2909
[9]   Delay-dependent decentralized H∞ filtering for uncertain interconnected systems [J].
Ning, Chen ;
Gui Weihua ;
Zhang Xiaofeng .
JOURNAL OF SYSTEMS ENGINEERING AND ELECTRONICS, 2008, 19 (04) :766-774
[10]   A New Design of Delay-Dependent Robust H∞ Filtering for Discrete-Time T-S Fuzzy Systems With Time-Varying Delay [J].
Qiu, Jianbin ;
Feng, Gang ;
Yang, Jie .
IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2009, 17 (05) :1044-1058