• DocumentCode
    826353
  • Title

    Invariant subspaces for LPV systems and their applications

  • Author

    Balas, Gary ; Bokor, József ; Szabó, Zoltán

  • Author_Institution
    Dept. of Aerosp. Eng. & Mech., Univ. of Minnesota, Minneapolis, MN, USA
  • Volume
    48
  • Issue
    11
  • fYear
    2003
  • Firstpage
    2065
  • Lastpage
    2069
  • Abstract
    The aim of this paper is to extend the notion of invariant subspaces known in the geometric control theory of the linear time invariant systems to the linear parameter-varying (LPV) systems by introducing the concept of parameter-varying invariant subspaces. For LPV systems affine in their parameters, algorithms are given to compute many parameter varying subspaces relevant in the solution of state feedback and observer design problems.
  • Keywords
    controllability; linear systems; observability; robust control; state feedback; time-varying systems; LPV systems; geometric control theory; input affine systems; invariant subspaces; linear parameter-varying systems; linear time invariant systems; observer design problems; state feedback; Aerospace control; Algorithm design and analysis; Control theory; Dynamic scheduling; NASA; Nonlinear systems; Robust control; State feedback; Time invariant systems; Vehicles;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.2003.819647
  • Filename
    1245204
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=826353