• DocumentCode
    2815775
  • Title

    On the horizons in constrained linear quadratic regulation

  • Author

    Zhao, Xiaodong ; Lin, Zongli

  • Author_Institution
    Hangzhou Dianzi Univ., Hangzhou
  • fYear
    2007
  • fDate
    12-14 Dec. 2007
  • Firstpage
    1186
  • Lastpage
    1191
  • Abstract
    This work revisits the problem of infinite horizon constrained linear quadratic regulation (LQR) for discrete- time systems. It is known that there exists a finite horizon such that the infinite horizon constrained LQR problem can be solved as a finite horizon constrained LQR problem. We first propose several algorithms to estimate the upper bound of the length of this finite horizon. Conservativeness and computational complexity of these algorithms are compared through an example.
  • Keywords
    computational complexity; discrete time systems; linear quadratic control; LQR; computational complexity; constrained linear quadratic regulation; discrete-time systems; finite horizon; Computational complexity; Constraint optimization; Control systems; Infinite horizon; Iterative algorithms; Linear systems; Open loop systems; Predictive control; Predictive models; Upper bound; Constrained linear quadratic regulation; finite horizon; null controllable region;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 2007 46th IEEE Conference on
  • Conference_Location
    New Orleans, LA
  • ISSN
    0191-2216
  • Print_ISBN
    978-1-4244-1497-0
  • Electronic_ISBN
    0191-2216
  • Type

    conf

  • DOI
    10.1109/CDC.2007.4434094
  • Filename
    4434094