• DocumentCode
    779719
  • Title

    Some computational results on size reduction in H∞ design

  • Author

    Postlethwaite, I. ; Gu, D.W. ; O´Young, S.D.

  • Author_Institution
    Res. Sch. of Phys. Sci., Australian Nat. Univ., Canberra, ACT, Australia
  • Volume
    33
  • Issue
    2
  • fYear
    1988
  • fDate
    2/1/1988 12:00:00 AM
  • Firstpage
    177
  • Lastpage
    185
  • Abstract
    The authors explore the properties of the algebraic Riccati equation. New results on the rank of the solution to the algebraic Riccati equation are obtained and lead to an efficient algorithm for reducing the size of the antistable transfer function matrix in the model-matching problem. In the 1-block problem, the method is taken further to obtain explicit formulas for a minimal realization of the matrix. The approach is direct and numerically reliable as it is based almost entirely on orthogonal transformations
  • Keywords
    control theory; matrix algebra; optimisation; H∞ design; algebraic Riccati equation; antistable transfer function matrix; efficient algorithm; model-matching; optimisation; orthogonal transformations; size reduction; Algorithm design and analysis; Control systems; Design methodology; H infinity control; Optimal control; Reliability theory; Riccati equations; Size control; Transfer functions; Upper bound;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/9.385
  • Filename
    385
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=779719