• DocumentCode
    489542
  • Title

    The structure of the γ-domain for H∞ riccati solutions

  • Author

    Li, X.P. ; Chang, B.C.

  • Author_Institution
    Department of Mechanical Engineering and Mechanics, Drexel University, Philadelphia, PA 19104.
  • fYear
    1992
  • fDate
    24-26 June 1992
  • Firstpage
    1147
  • Lastpage
    1148
  • Abstract
    The state space approach to H∞ control problem, proposed by DGKF [1], is an limportant contribution to both robust control theory and engineering. The central part of the design procedure by using this method is to solve two indefinite Riccati equations. The solutions are functions of a parameter γ. In this paper, the structure of the γ-domain on which the Riccati solutions exist and/or are positive semidefinite are investigated. Moreover, some properties of the lower bounds of the domain are also given. By using these properties, a quadratically convergent algorithm can be developed to compute the lower bounds of the γ-domain.
  • Keywords
    Computer aided analysis; Eigenvalues and eigenfunctions; Filtering theory; Helium; Propagation losses; Riccati equations; Robust control; State-space methods; Tellurium; Upper bound;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    American Control Conference, 1992
  • Conference_Location
    Chicago, IL, USA
  • Print_ISBN
    0-7803-0210-9
  • Type

    conf

  • Filename
    4792273
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=489542