• DocumentCode
    1751689
  • Title

    Linear quadratic regulators for time-delay systems with an extended cost

  • Author

    Han, Soo Hee ; Kwon, Wook Hyun

  • Author_Institution
    Sch. of Electr. Eng., Seoul Nat. Univ., South Korea
  • Volume
    5
  • fYear
    2001
  • fDate
    2001
  • Firstpage
    4006
  • Abstract
    A new cost function based on a functional space norm is proposed for systems with time delay. This cost function considers the Euclidean norm for a current state and the L2 norm for a delayed state with a finite horizon. The solution of the finite horizon linear quadratic regulator (LQR) problem with the proposed cost function is derived. It is also shown that, under certain conditions, the finite horizon LQR can be extended to the infinite horizon case and stability in this case can be guaranteed
  • Keywords
    delay systems; linear quadratic control; stability criteria; Euclidean norm; LQ control; Linear quadratic regulators; cost function; delayed state with a finite horizon; extended cost; finite horizon LQR; functional space norm; stability; time-delay systems; Biological system modeling; Control systems; Cost function; Delay effects; Delay systems; Environmental factors; Infinite horizon; Optimal control; Regulators; Robust stability;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    American Control Conference, 2001. Proceedings of the 2001
  • Conference_Location
    Arlington, VA
  • ISSN
    0743-1619
  • Print_ISBN
    0-7803-6495-3
  • Type

    conf

  • DOI
    10.1109/ACC.2001.946311
  • Filename
    946311