• DocumentCode
    1090082
  • Title

    H∞ Filtering of Discrete-Time Switched Systems With State Delays via Switched Lyapunov Function Approach

  • Author

    Du, Dongsheng ; Jiang, Bin ; Shi, Peng ; Zhou, Shaosheng

  • Author_Institution
    Huaihai Inst. of Technol., Jiangsu
  • Volume
    52
  • Issue
    8
  • fYear
    2007
  • Firstpage
    1520
  • Lastpage
    1525
  • Abstract
    In this note, the problem of Hinfin 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 Hinfin 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 Hinfin filter can be constructed. A numerical example is provided to demonstrate the effectiveness of the proposed techniques.
  • Keywords
    Hinfin control; Lyapunov methods; delays; discrete time systems; filtering theory; linear matrix inequalities; Hinfin filtering; discrete-time switched systems; linear matrix inequalities; noise attenuation; state delay; switched Lyapunov function; Attenuation; Automation; Delay effects; Delay systems; Filtering; Linear matrix inequalities; Lyapunov method; Nonlinear filters; Space technology; Switched systems; $H_infty$ filter; Discrete-time switched system; linear matrix inequality (LMI); switched Lyapunov functional;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.2007.902777
  • Filename
    4287138
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1090082