Robust mixed H2/H∞ filtering for discrete-time delay fuzzy systems

被引：19
|
作者：
Lin, YC [1 ]
Lo, JC [1 ]
机构：
[1] Natl Cent Univ, Dept Mech Engn, Chungli 320, Taiwan
来源：
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE | 2005年 / 36卷 / 15期
关键词：
mixed H-2/H-infinity filtering; time delays; Takagi-Sugeno fuzzy model (T-S fuzzy model); worst-case disturbance; linear matrix inequality (LMI);
D O I：
10.1080/00207720500404797
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
A robust mixed H-2/H-infinity filtering problem for discrete-time fuzzy systems subject to parameter uncertainties and multiple time-varying delays in state variables is addressed in this paper. The uncertain systems are expressed as Takagi-Sugeno fuzzy models with linear nominal parts and norm-bounded uncertainties. The main objective is to design a stable filter which minimizes a guaranteed cost index and achieves a prescribed H-infinity performance under worst-case disturbance. Based on Lyapunov theory, sufficient conditions guaranteeing stability and achieving prescribed performances are stated in terms of LMIs. Therefore, stable filters are obtained with existing convex algorithms. Lastly, two examples are given to illustrate the proposed design methodology.
引用
收藏
页码：993 / 1006
页数：14
相关论文
共 50 条
  • [11] Distributed Fusion Robust H2 and H∞ Filtering for Uncertain Discrete-Time Systems
    Sun, Jiabing
    Zhang, Chengjin
    Guo, Bing
    2010 8TH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION (WCICA), 2010, : 806 - 810
  • [12] New approach to mixed H2/H∞ filtering for polytopic discrete-time systems
    Gao, HJ
    Lam, J
    Xie, LH
    Wang, CH
    IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2005, 53 (08) : 3183 - 3192
  • [13] Robust Generalized H2 Filtering for Uncertain Discrete-time Linear Systems
    Sun, Xiao-Xiang
    An, Cuijuan
    Wang, Shen
    2010 CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-5, 2010, : 1086 - +
  • [14] ROBUST H2 FILTERING FOR DISCRETE-TIME MARKOVIAN JUMP LINEAR SYSTEMS
    Liu, Tao
    Zhang, Hao
    Chen, Qijun
    ASIAN JOURNAL OF CONTROL, 2012, 14 (06) : 1599 - 1607
  • [15] Robust H2 and H∞ filtering for discrete-time uncertain Linear fractional transform systems
    Sadeghzadeh, Arash
    IET CONTROL THEORY AND APPLICATIONS, 2015, 9 (06): : 882 - 892
  • [16] LMI approach to the mixed H2/H∞ filtering design for discrete-time uncertain systems
    Palhares, RM
    Peres, PLD
    IEEE TRANSACTIONS ON AEROSPACE AND ELECTRONIC SYSTEMS, 2001, 37 (01) : 292 - 296
  • [17] H∞ Fuzzy Filtering for Discrete-time Fuzzy Stochastic Systems with Time-varying Delay
    Yan Huaicheng
    Zhang Hao
    Shi Hongbo
    Meng, Max Q. -H.
    PROCEEDINGS OF THE 29TH CHINESE CONTROL CONFERENCE, 2010, : 5993 - 5998
  • [18] Fuzzy Generalized H2 Filtering for Nonlinear Discrete-Time Systems With Measurement Quantization
    Chang, Xiao-Heng
    Li, Zhi-Min
    Park, Ju H.
    IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS, 2018, 48 (12): : 2419 - 2430
  • [19] Robust H∞ filtering for a class of linear jumping discrete-time delay systems
    Mahmoud, MS
    Shi, P
    Ismail, A
    DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES B-APPLICATIONS & ALGORITHMS, 2003, 10 (05): : 647 - 662
  • [20] Mixed H2/H∞ Filtering for Polytopic Discrete-time Systems with Parameter Dependent Lyapunov Functions
    Li Hui
    Wang Tianshu
    Zhang Tao
    Song Jingyan
    2008 10TH INTERNATIONAL CONFERENCE ON CONTROL AUTOMATION ROBOTICS & VISION: ICARV 2008, VOLS 1-4, 2008, : 2289 - +
12345