• DocumentCode
    434639
  • Title

    Closed-loop optimal control law for discrete-time LQG problems with a mean-variance objective

  • Author

    Li, Duan ; Qian, Fucai

  • Author_Institution
    Dept. of Syst. Eng. & Eng. Manage., Chinese Univ. of Hong Kong, Shatin, China
  • Volume
    3
  • fYear
    2004
  • fDate
    14-17 Dec. 2004
  • Firstpage
    2291
  • Abstract
    The classical linear-quadratic Gaussian problem is reexamined in this paper with a purpose to better control the dispersion of its randomly valued performance index. A closed-loop optimal control law is derived for discrete time linear-quadratic Gaussian problems with a mean-variance objective, by developing a nested form of the variance and using nonlinear mathematical programming as a solution scheme.
  • Keywords
    closed loop systems; discrete time systems; linear quadratic Gaussian control; nonlinear programming; optimal control; closed-loop optimal control law; discrete-time LQG problems; linear-quadratic Gaussian problems; mean-variance objective; nonlinear mathematical programming; randomly valued performance index; Control systems; Control theory; Linear systems; Mathematical programming; Open loop systems; Optimal control; Performance analysis; Stochastic processes; Stochastic systems; Symmetric matrices;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 2004. CDC. 43rd IEEE Conference on
  • ISSN
    0191-2216
  • Print_ISBN
    0-7803-8682-5
  • Type

    conf

  • DOI
    10.1109/CDC.2004.1428731
  • Filename
    1428731