• DocumentCode
    3484727
  • Title

    Discrete-time H2 guaranteed cost analysis for systems with norm-bounded structured uncertainty

  • Author

    Conway, Richard ; Horowitz, Roberto

  • Author_Institution
    Dept. of Mech. Eng., Univ. of California, Berkeley, CA, USA
  • fYear
    2012
  • fDate
    27-29 June 2012
  • Firstpage
    1858
  • Lastpage
    1864
  • Abstract
    This paper presents two methodologies for analyzing the H2 guaranteed cost performance of a discrete-time LTI system with norm-bounded structured uncertainty. The first methodology is based on semi-definite programming and the second methodology is based on smooth nonlinear convex optimization in which each function evaluation requires the solution of one discrete algebraic Riccati equation. The two methods are then compared in terms of their speed and accuracy.
  • Keywords
    H2 control; Riccati equations; convex programming; cost optimal control; discrete time systems; linear systems; uncertain systems; H2 guaranteed cost analysis; LTI system; discrete algebraic Riccati equation; discrete time system; norm bounded structured uncertainty; semidefinite programming; smooth nonlinear convex optimization; Convex functions; Linear matrix inequalities; Optimization; Strontium; Symmetric matrices; Uncertainty; Upper bound;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    American Control Conference (ACC), 2012
  • Conference_Location
    Montreal, QC
  • ISSN
    0743-1619
  • Print_ISBN
    978-1-4577-1095-7
  • Electronic_ISBN
    0743-1619
  • Type

    conf

  • DOI
    10.1109/ACC.2012.6315519
  • Filename
    6315519
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3484727