• DocumentCode
    83399
  • Title

    Periodically Time-Varying {cal H}_{\\infty } Memory Filter Design for Discrete-Time LTI Systems With Polytopic Uncertainty

  • Author

    Dong Hwan Lee ; Young Hoon Joo ; Myung Hwan Tak

  • Author_Institution
    Dept. of Electr. & Electron. Eng., Yonsei Univ., Seoul, South Korea
  • Volume
    59
  • Issue
    5
  • fYear
    2014
  • fDate
    May-14
  • Firstpage
    1380
  • Lastpage
    1385
  • Abstract
    This technical note focuses on the development of a general periodically time-varying memory filter (PTVMF) to improve the robust H filtering performance for discrete-time linear time-invariant (LTI) systems with polytopic parameter uncertainties. A sufficient condition to design the H-PTVMF is given in terms of convex optimizations expressed as linear matrix inequalities (LMIs). Finally, examples demonstrate its potential less conservatism.
  • Keywords
    H filters; control system synthesis; convex programming; discrete time systems; linear matrix inequalities; time-varying filters; time-varying systems; H filtering; H-PTVMF design; convex optimizations; discrete-time LTI systems; discrete-time linear time-invariant systems; linear matrix inequalities; periodically time-varying H memory filter; polytopic uncertainty; sufficient condition; Estimation; Linear matrix inequalities; Lyapunov methods; Matrices; Optimization; Robustness; Symmetric matrices; Linear matrix inequality (LMI); linear time-invariant (LTI) system; periodically time-varying memory filter (PTVMF); polytopic uncertainty; robust ${cal H}_{infty}$ filtering;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.2013.2289705
  • Filename
    6656893