• DocumentCode
    2098947
  • Title

    A convex programming approach to the multiobjective H2/H∞ problem

  • Author

    Djouadi, Seddik M. ; Charalambous, C.D. ; Repperger, D.W.

  • Author_Institution
    Syst. Eng. Dept., Arkansas Univ., Little Rock, AR, USA
  • Volume
    6
  • fYear
    2002
  • fDate
    2002
  • Firstpage
    4315
  • Abstract
    In this paper, Banach space duality theory for the multiobjective H2/H∞ problem developed recently by the authors, is used to develop algorithms to solve this problem by approximately reducing the dual and predual representations to finite variable convex optimizations. The Ellipsoid algorithm is then applied to these problems to obtain polynomial-time, nonheuristic programs which find "nearly" optimal control laws. These algorithms have been implemented numerically to compute an example.
  • Keywords
    Banach spaces; H∞ control; H∞ optimisation; convex programming; duality (mathematics); polynomial approximation; Banach space duality theory; Ellipsoid algorithm; convex programming approach; finite variable convex optimizations; multiobjective H2/H∞ problem; nearly optimal control laws; numerical implementation; polynomial-time nonheuristic programs; Approximation methods; Ellipsoids; Hydrogen; Optimal control; Pareto analysis; Pareto optimization; Polynomials; Robustness; Transfer functions; Upper bound;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    American Control Conference, 2002. Proceedings of the 2002
  • ISSN
    0743-1619
  • Print_ISBN
    0-7803-7298-0
  • Type

    conf

  • DOI
    10.1109/ACC.2002.1025323
  • Filename
    1025323
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2098947