• DocumentCode
    1006827
  • Title

    On the robustness of LQ regulators for discrete-time systems

  • Author

    Neto, Alexandre Trofino ; Dion, Jean Michel ; Dugard, Luc

  • Author_Institution
    Lab. d´´Autom. de Grenoble, CNRS, St. Martin d´´Heres, France
  • Volume
    37
  • Issue
    10
  • fYear
    1992
  • fDate
    10/1/1992 12:00:00 AM
  • Firstpage
    1564
  • Lastpage
    1568
  • Abstract
    A sufficient condition for quadratic stabilizability of uncertain linear discrete-time systems using LQ regulators is presented. The true system is represented by a nominal model plus additive terms representing the most common types of uncertainties in the state and input matrices. Sufficient robustness bounds as well as a robustification procedure for discrete-time LQ regulators are presented and the conservativeness of the proposed condition is discussed
  • Keywords
    discrete time systems; optimal control; stability criteria; LQ regulators; quadratic stabilizability; robustness; uncertain linear discrete-time systems; Linear systems; Minimax techniques; Regulators; Riccati equations; Robust control; Robustness; State feedback; Sufficient conditions; Uncertainty; Vectors;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/9.256383
  • Filename
    256383