• DocumentCode
    1006711
  • Title

    Coprime matrix fraction description via orthogonal structure theorem

  • Author

    Datta, K.B. ; Gangopadhyay, S.

  • Author_Institution
    Dept. of Electr. Eng., Indian Inst. of Technol., Kharagpur, India
  • Volume
    37
  • Issue
    10
  • fYear
    1992
  • fDate
    10/1/1992 12:00:00 AM
  • Firstpage
    1517
  • Lastpage
    1520
  • Abstract
    An algorithm to compute the coprime matrix fraction description from a given transfer function matrix W(s) is presented. The algorithm is based on Householder transformations to compute the minimal realization of W(s) and on the orthogonal version of the structure theorem of W.A. Wolovich (1974) and of Wolovich and P.L. Falb (1969) to determine the coprime form. The proposed method is numerically less expensive than a similar algorithm given by R.V. Patel (1981) which uses singular value decomposition
  • Keywords
    computational complexity; matrix algebra; transfer functions; Householder transformations; coprime matrix fraction description; minimal realization; numerical expense; orthogonal structure theorem; transfer function matrix; Automatic control; Control systems; Control theory; Convergence; Large-scale systems; Linear systems; Matrix decomposition; Singular value decomposition; Transfer functions; Variable structure systems;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/9.256372
  • Filename
    256372
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1006711