• DocumentCode
    313866
  • Title

    Nash game and mixed H2/H∞ control

  • Author

    De O.Florentino, H. ; Sales, Roberto M.

  • Author_Institution
    Dept. of Math., UNESP, Brazil
  • Volume
    5
  • fYear
    1997
  • fDate
    4-6 Jun 1997
  • Firstpage
    3521
  • Abstract
    In this work a nonzero-sum Nash game related to the H2 and H∞ control problems is formulated in the context of convex optimization theory. The variables of the game are limiting bounds for the H2 and H∞ norms, and the final controller is obtained as an equilibrium solution, which minimizes the “sensitivity of each norm” with respect to the other. The state feedback problem is considered and illustrated by numerical examples
  • Keywords
    H∞ control; convex programming; game theory; state feedback; H∞ norm; H2 norm; convex optimization theory; equilibrium solution; limiting bounds; mixed H2/H∞ control; nonzero-sum Nash game; state feedback problem; Air traffic control; Calculus; Control systems; Game theory; Hydrogen; Marketing and sales; Mathematics; Robust control; State feedback; Transfer functions;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    American Control Conference, 1997. Proceedings of the 1997
  • Conference_Location
    Albuquerque, NM
  • ISSN
    0743-1619
  • Print_ISBN
    0-7803-3832-4
  • Type

    conf

  • DOI
    10.1109/ACC.1997.612123
  • Filename
    612123
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=313866