• DocumentCode
    3247385
  • Title

    A solvability condition of an extended H∞ control problem using Riccati inequalities

  • Author

    Hirata, Mitsuo ; Liu, Kang-Zhi ; Mita, Tsutomu

  • Author_Institution
    Fac. of Eng., Chiba Univ., Japan
  • Volume
    4
  • fYear
    1996
  • fDate
    11-13 Dec 1996
  • Firstpage
    4522
  • Abstract
    In this paper, we consider an H∞ problem using unstable weighting functions. Such weights are used to achieve asymptotic disturbance attenuation and/or asymptotic reference tracking, and they cannot be handled by the standard H∞ control theory. For this problem, we present necessary and sufficient conditions to exist a solution using Riccati inequalities. This conditions need no assumptions on the jω invariant zeros of G12 and G21
  • Keywords
    H∞ control; Riccati equations; asymptotic stability; control system synthesis; Riccati inequalities; asymptotic disturbance attenuation; asymptotic reference tracking; extended H∞ control problem; jω invariant zeros; necessary and sufficient conditions; solvability condition; unstable weighting functions; Attenuation; Bismuth; Control systems; Control theory; Filters; Optimization methods; Riccati equations; Servomechanisms; Sufficient conditions; Systems engineering and theory;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 1996., Proceedings of the 35th IEEE Conference on
  • Conference_Location
    Kobe
  • ISSN
    0191-2216
  • Print_ISBN
    0-7803-3590-2
  • Type

    conf

  • DOI
    10.1109/CDC.1996.577577
  • Filename
    577577
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3247385