• DocumentCode
    3073971
  • Title

    H2 and/or H∞-norm model reduction of uncertain discrete-time systems

  • Author

    Assunção, Edvaldo ; Peres, Pedro L D

  • Author_Institution
    Paulista State Univ., Brazil
  • Volume
    6
  • fYear
    1999
  • fDate
    1999
  • Firstpage
    4466
  • Abstract
    This paper addresses the problem of model reduction for uncertain discrete-time systems with convex bounded (polytope type) uncertainty. A reduced order precisely known model is obtained in such a way that the H 2 and/or the H∞ guaranteed norm of the error between the original (uncertain) system and the reduced one is minimized. The optimization problems are formulated in terms of coupled (nonconvex) linear matrix inequalities, being solved through iterative algorithms. Examples illustrate the results
  • Keywords
    H∞ control; discrete time systems; linear systems; matrix algebra; optimisation; reduced order systems; uncertain systems; H∞-norm; H2-norm; discrete-time systems; iterative method; linear matrix inequality; linear time invariant systems; model reduction; optimization; uncertain systems; Analytical models; Control system synthesis; Convergence; Electronic mail; Iterative algorithms; Linear matrix inequalities; Reduced order systems; Sufficient conditions; Uncertain systems; Uncertainty;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    American Control Conference, 1999. Proceedings of the 1999
  • Conference_Location
    San Diego, CA
  • ISSN
    0743-1619
  • Print_ISBN
    0-7803-4990-3
  • Type

    conf

  • DOI
    10.1109/ACC.1999.786428
  • Filename
    786428
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3073971