• DocumentCode
    882921
  • Title

    Minimal periodic realizations of transfer matrices

  • Author

    Lin, Ching-An ; King, Chwan-Wen

  • Author_Institution
    Nat. Chiao-Tung Univ., Hsinchu, Taiwan
  • Volume
    38
  • Issue
    3
  • fYear
    1993
  • fDate
    3/1/1993 12:00:00 AM
  • Firstpage
    462
  • Lastpage
    466
  • Abstract
    Periodic controllers designed based on the so-called lifting technique are usually represented by transfer matrices. Real operations require that the controllers be implemented as periodic systems. The problem of realizing an Nno×Nni proper rational transfer matrix as an ni-input no-output N-periodic discrete-time system is studied. An algorithm for obtaining periodic realizations which have a minimal number of states is proposed. The result can also be used to remove any redundant states that exist in a periodic system
  • Keywords
    discrete time systems; matrix algebra; multivariable control systems; time-varying systems; transfer functions; MIMO systems; minimal periodic realisations; periodic realizations; periodic system; transfer matrices; Automatic control; Conferences; Control systems; Cyclic redundancy check; Linear systems; Notice of Violation; Output feedback; Stability; State feedback; Time varying systems;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/9.210146
  • Filename
    210146