• DocumentCode
    3076668
  • Title

    Model reduction of stochastic systems

  • Author

    Benmahammed, K.

  • Author_Institution
    University of Minnesota Duluth, Duluth, MN
  • fYear
    1986
  • fDate
    10-12 Dec. 1986
  • Firstpage
    1091
  • Lastpage
    1093
  • Abstract
    A method for reducing the order of a stochastic time invariant linear system (i.e., system with parameter-uncertainty), is presented. It relies on the singular value decomposition of the controllability Grammian to determine the aggregation matrix and the state feedback law to insure the stability of the model. With this model, the desired state variables or their linear combinations are reproduced. Thus, some of the internal structural properties of the system are preserved in the model. The results are illustrated by a numerical example.
  • Keywords
    Argon; Chromium; Controllability; H infinity control; Matrix decomposition; Reduced order systems; Singular value decomposition; Stability; State feedback; Stochastic systems;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 1986 25th IEEE Conference on
  • Conference_Location
    Athens, Greece
  • Type

    conf

  • DOI
    10.1109/CDC.1986.267547
  • Filename
    4048936