• DocumentCode
    489591
  • Title

    Numerical solution of the general mixed H2/H∞ optimization problem

  • Author

    Ridgely, D.Brett ; Mracek, Curtis P. ; Valavani, Lena

  • Author_Institution
    Department of Aeronautics and Astronautics, Air Force Institute of Technology, WPAFB, OH
  • fYear
    1992
  • fDate
    24-26 June 1992
  • Firstpage
    1353
  • Lastpage
    1357
  • Abstract
    The necessary conditions for the nonconservative solution of the mixed H2/H∞ optimization problem have been presented. It was found that, for a controller of the same order as the plant, these conditions require a neutrally stablizing solution to a Riccati equation and a solution to a Lyapunov equation which has no unique solution. This paper develops a method for solving a suboptimal problem that converges to the true mixed solution while requiring only stabilizing solutions to Riccati equations and unique solutions to Lyapunov equations. Two numerical examples are presented. The numerical solution technique is based on the Davidon-Fletcher-Powell algorithm.
  • Keywords
    Convergence of numerical methods; Couplings; Hydrogen; Nonlinear equations; Output feedback; Performance analysis; Riccati equations; Space technology; Symmetric matrices; Transfer functions;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    American Control Conference, 1992
  • Conference_Location
    Chicago, IL, USA
  • Print_ISBN
    0-7803-0210-9
  • Type

    conf

  • Filename
    4792324
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=489591