• DocumentCode
    3059217
  • Title

    A linear matrix inequality approach to the general mixed ℋ2/ℋ∞ control problem

  • Author

    Chen, Xin ; Wen, John T.

  • Author_Institution
    Dept. of Electr. Comput. & Syst. Eng., Rensselaer Polytech. Inst., Troy, NY, USA
  • Volume
    2
  • fYear
    1995
  • fDate
    21-23 Jun 1995
  • Firstpage
    1443
  • Abstract
    This paper presents a solution method to the general mixed ℋ 2/ℋ∞, problem, minimizing the ℋ 2 norm of a closed-loop system subject to an ℋ∞ norm constraint on another closed-loop system. It is shown that the true infimum over all internally stabilizing controllers can be approximated arbitrary closely by solving a sequence of globally convergent finite dimensional convex optimization problems over linear matrix inequalities. Numerical examples are provided to demonstrate the effectiveness of this approach
  • Keywords
    H∞ control; closed loop systems; convex programming; matrix algebra; minimisation; stability; H∞ norm constraint; H2 norm minimization; closed-loop system; general mixed H2/H∞ control problem; globally convergent finite-dimensional convex optimization problems; linear matrix inequality; Control systems; Couplings; Linear matrix inequalities; Nonlinear equations; Optimal control; Output feedback; Riccati equations; State-space methods; Sufficient conditions; Upper bound;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    American Control Conference, Proceedings of the 1995
  • Conference_Location
    Seattle, WA
  • Print_ISBN
    0-7803-2445-5
  • Type

    conf

  • DOI
    10.1109/ACC.1995.520989
  • Filename
    520989
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3059217