• DocumentCode
    1116906
  • Title

    Determination of a transfer function matrix in multivariable systems

  • Author

    Perry, R.J. ; Sun, H.H. ; Berger, W.A.

  • Author_Institution
    Dept. of Electr. Eng., Villanova Univ., PA, USA
  • Volume
    33
  • Issue
    3
  • fYear
    1988
  • fDate
    3/1/1988 12:00:00 AM
  • Firstpage
    305
  • Lastpage
    307
  • Abstract
    A conceptually simple method is presented for determining the system transfer function matrix of linear multivariable systems described by their state-space equations. The polynomial coefficients of the transfer function matrix are computed directly by using the controllability matrix method and the transformation to canonical (phase-variable) form matrices, even if the transformation matrices are singular. The method does not require matrix inversion and calculation of eigenvalues, and requires only O(n3) operations
  • Keywords
    controllability; linear systems; matrix algebra; multivariable control systems; state-space methods; transfer functions; controllability matrix; eigenvalues; linear multivariable systems; polynomial coefficients; state-space; transfer function matrix; transformation matrices; Algorithm design and analysis; Controllability; Eigenvalues and eigenfunctions; Frequency; Laplace equations; MIMO; Polynomials; Sun; Transfer functions; Vectors;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/9.410
  • Filename
    410
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1116906