Parameter-dependent robust H∞ filtering for uncertain discrete-time systems

被引：80
|
作者：
Zhang, Jinhui [1 ]
Xia, Yuanqing [1 ]
Shi, Peng [2 ,3 ,4 ]
机构：
[1] Beijing Inst Technol, Dept Automat Control, Beijing 100081, Peoples R China
[2] Univ Glamorgan, Fac Adv Technol, Pontypridd CF37 1DL, M Glam, Wales
[3] Victoria Univ, Sch Comp Sci & Math, ILSCM, Melbourne, Vic 8001, Australia
[4] Univ S Australia, Sch Math & Stat, Adelaide, SA 5001, Australia
来源：
AUTOMATICA | 2009年 / 45卷 / 02期
基金：
中国国家自然科学基金; 英国工程与自然科学研究理事会;
关键词：
Discrete-time systems; Linear matrix inequality; H(infinity) filtering; Polytopic systems; POLYTOPIC-TYPE UNCERTAINTIES; STATE-DELAYED SYSTEMS; SAMPLED-DATA SYSTEMS; LINEAR-SYSTEMS; LYAPUNOV FUNCTIONS; STABILITY; DESIGN; H-2; FUNCTIONALS;
D O I：
10.1016/j.automatica.2008.09.005
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper is concerned with the problem of parameter-dependent H(infinity) filtering for discrete-time systems with polytopic uncertainties. The uncertain parameters are supposed to reside in a polytope. Being different from previous results in the quadratic framework, the parameter-dependent Lyapunov function is used in this paper. Both full- and reduced-order filters are designed, which guarantee the asymptotic stability and a prescribed H(infinity) performance level. The filter parameters can be obtained from the solution of convex optimization problems in terms of linear matrix inequalities, which can be solved via efficient interior-point algorithms. Numerical examples are presented to illustrate the feasibility and less conservativeness of the proposed method. (C) 2008 Elsevier Ltd. All rights reserved.
引用
收藏
页码：560 / 565
页数：6
相关论文
共 50 条
  • [31] Robust Kalman Filtering for Discrete-Time Uncertain Stochastic Systems
    George, Jemin
    2013 AMERICAN CONTROL CONFERENCE (ACC), 2013, : 2466 - 2471
  • [32] Robust Kalman filtering for uncertain discrete-time linear systems
    Garcia, G
    Tarbouriech, S
    Peres, PLD
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2003, 13 (13) : 1225 - 1238
  • [33] Robust filtering for bilinear uncertain stochastic discrete-time systems
    Wang, ZD
    Qiao, H
    IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2002, 50 (03) : 560 - 567
  • [34] New approaches to robust l2−l∞ and H∞ filtering for uncertain discrete-time systemsfiltering for uncertain discrete-time systems
    Huijun Gao
    Changhong Wang
    Science in China Series F: Information Sciences, 2003, 46 : 355 - 370
  • [35] Homogenous Polynomially Parameter-Dependent H∞ Filter Designs of Discrete-Time Fuzzy Systems
    Zhang, Huaguang
    Xie, Xiangpeng
    Tong, Shaocheng
    IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS, 2011, 41 (05): : 1313 - 1322
  • [36] 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
  • [37] Robust H∞ filtering for discrete-time linear systems with uncertain time-varying parameters
    de Souza, Carlos E.
    Barbosa, Karina A.
    Neto, Alexandre Trofino
    IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2006, 54 (06) : 2110 - 2118
  • [38] LMI optimization approach to robust H∞ filtering for discrete-time nonlinear uncertain systems
    Abbaszadeh, Masoud
    Marquez, Horacio J.
    2008 AMERICAN CONTROL CONFERENCE, VOLS 1-12, 2008, : 1905 - 1910
  • [39] 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 - +
  • [40] Robust H∞ filtering for a class of discrete-time uncertain Nonlinear systems with state delay
    Xu, SY
    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2002, 49 (12) : 1853 - 1859
12345