• DocumentCode
    3469856
  • Title

    Properties of algebraic Riccati inequalities and H∞ robust sub-optimal controller design

  • Author

    Shen, T. ; Tamura, K.

  • Author_Institution
    Dept. of Mech. Eng., Sophia Univ., Tokyo, Japan
  • fYear
    1991
  • fDate
    11-13 Dec 1991
  • Firstpage
    212
  • Abstract
    Properties of the solutions of ARI (algebraic Riccati inequality), which appear in H∞ control theory, are studied. Positive matrix solutions of a set of ARI with perturbations in coefficient matrices are examined, and necessary and sufficient conditions for the existence are given in terms of nominal coefficient matrices. Using these properties, an H∞ robust sub-optimal controller design is given for a plant with uncertainties in the system, control input, and disturbance input matrices
  • Keywords
    control system synthesis; matrix algebra; optimal control; H∞ control; algebraic Riccati inequality; coefficient matrices; control system synthesis; matrix algebra; necessary conditions; robust suboptimal control; sufficient conditions; Control systems; Control theory; H infinity control; Linear matrix inequalities; Riccati equations; Robust control; State feedback; Sufficient conditions; Time varying systems; Uncertainty;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 1991., Proceedings of the 30th IEEE Conference on
  • Conference_Location
    Brighton
  • Print_ISBN
    0-7803-0450-0
  • Type

    conf

  • DOI
    10.1109/CDC.1991.261290
  • Filename
    261290
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3469856