• DocumentCode
    1625048
  • Title

    Successive D.C. relaxation of parametrized LMIs - control applications

  • Author

    Ichihara, Hiroyuki ; Nobuyama, Eitaku

  • Author_Institution
    Dept. of Syst. Innovation & Informatics, Kyushu Inst. of Technol., Fukuoka, Japan
  • Volume
    2
  • fYear
    2004
  • Firstpage
    1458
  • Abstract
    This paper presents a global optimization algorithm using difference of multiconvex relaxation successively for parametrized LMI problems. The problem is formulated as a minimax problem. On branch and bound, the relaxation is performed iteratively to have a feasible solution of the parametrized LMI problem. Numerical examples for stability analysis and L/sub 2/ gain performance analysis of linear parameter varying systems are shown.
  • Keywords
    linear matrix inequalities; linear systems; minimax techniques; relaxation theory; stability; tree searching; DC relaxation; branch and bound; control application; difference of convex relaxation; gain performance analysis; global optimization algorithm; linear parameter varying system; minimax problem; multiconvex relaxation; parametrized LMI; stability analysis;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    SICE 2004 Annual Conference
  • Conference_Location
    Sapporo
  • Print_ISBN
    4-907764-22-7
  • Type

    conf

  • Filename
    1491654