H∞ filtering of discrete-time switched systems with state delays via switched Lyapunov function approach

被引:155
|
作者
Du, Dongsheng [1 ]
Jiang, Bin
Shi, Peng
Zhou, Shaosheng
机构
[1] Huaihai Inst Technol, Dept Math & Phys, Lianyungang 222005, Peoples R China
[2] Nanjing Univ Aeronaut & Astronaut, Coll Automat Engn, Nanjing 210016, Peoples R China
[3] Univ Glamorgan, Fac Adv Technol, Pontypridd CF37 1DL, M Glam, Wales
[4] Hangzhou Dianzi Univ, Dept Automat, Hangzhou 310037, Peoples R China
关键词
discrete-time switched system; H-infinity filter; linear matrix inequality (LMI); switched Lyapunov functional;
D O I
10.1109/TAC.2007.902777
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this note, the problem of H-infinity filtering for a class of discrete-time switched systems with state delays is investigated. Attention is focused on the design of a stable filter guaranteeing a prescribed noise attenuation level in the H-infinity sense. By using switched Lyapunov functionals, sufficient conditions for the solvability of this problem are obtained in terms of linear matrix inequalities (LMIs), by solving which a desired H-infinity filter can be constructed. A numerical example is provided to demonstrate the effectiveness of the proposed techniques.
引用
收藏
页码:1520 / 1525
页数:6
相关论文
共 50 条
  • [11] Output-feedback control for discrete-time switched systems via non-monotonic switched Lyapunov function approach
    Shan, Sicheng
    Tong, Yanhui
    Zhai, Mingyuan
    Xu, Dongmei
    JOURNAL OF CONTROL AND DECISION, 2024, 11 (02) : 293 - 301
  • [12] Exponential H∞ filtering for discrete-time switched singular systems with time-varying delays
    Zhang, Dan
    Yu, Li
    Wang, Qing-Guo
    Ong, Chong-Jin
    Wu, Zheng-Guang
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2012, 349 (07): : 2323 - 2342
  • [13] Stability and H∞ control of discrete-time switched systems via one-step ahead Lyapunov function approach
    Wen, Jiwei
    Nguang, Sing Kiong
    Shi, Peng
    Zhao, Xudong
    IET CONTROL THEORY AND APPLICATIONS, 2018, 12 (08): : 1141 - 1147
  • [14] H∞-filtering and state feedback control for discrete-time switched descriptor systems
    Koenig, D.
    Marx, B.
    IET CONTROL THEORY AND APPLICATIONS, 2009, 3 (06): : 661 - 670
  • [15] Reachability of switched linear discrete-time systems with state delays
    Xie, GM
    Wang, L
    DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES B-APPLICATIONS & ALGORITHMS, 2005, 12 (02): : 225 - 234
  • [16] Stabilization of discrete-time switched positive linear systems via weak switched linear copositive Lyapunov function
    Ju, Yanhao
    Sun, Yuangong
    AUTOMATICA, 2020, 114
  • [17] Design on H∞-filtering for discrete-time switched delay systems
    Wang, Dong
    Wang, Wei
    Shi, Peng
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2011, 42 (12) : 1965 - 1973
  • [18] H∞ filtering for a class of discrete-time switched fuzzy systems
    Zhang, Lixian
    Dong, Xianke
    Qiu, Jianbin
    Alsaedi, Ahmed
    Hayat, Tasawar
    NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2014, 14 : 74 - 85
  • [19] H∞ Filtering for a Class of Discrete-time Switched linear systems
    Ding, Da-Wei
    Yang, Guang-Hong
    2009 AMERICAN CONTROL CONFERENCE, VOLS 1-9, 2009, : 5683 - 5688
  • [20] Stabilization of Discrete-Time Switched Linear Systems: A Control-Lyapunov Function Approach
    Zhang, Wei
    Abate, Alessandro
    Hu, Jianghai
    HYBRID SYSTEMS: COMPUTATION AND CONTROL, 2009, 5469 : 411 - +