• DocumentCode
    858110
  • Title

    Computation of minimal periodic realizations of transfer-function matrices

  • Author

    Varga, Andras

  • Author_Institution
    German Aerosp. Center, Inst. of Robotics & Mechatronics, Wessling, Germany
  • Volume
    49
  • Issue
    1
  • fYear
    2004
  • Firstpage
    146
  • Lastpage
    149
  • Abstract
    We present a numerical approach to compute a minimal periodic state-space realization of a transfer-function matrix corresponding to a lifted state-space representation. The proposed method determines a realization with time-varying state dimensions by using exclusively orthogonal transformations. The new method is numerically reliable, computationally efficient and thus well suited for robust software implementations.
  • Keywords
    discrete time systems; periodic control; realisation theory; state-space methods; time-varying systems; transfer function matrices; discrete-time systems; minimal periodic realizations; orthogonal transformations; periodic system; robust software implementations; state-space realization; time-varying state dimensions; transfer function matrices; Computational efficiency; Mechatronics; Observability; Robots; Robustness; Software tools; Standards development; Time varying systems;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.2003.821421
  • Filename
    1259473
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=858110