• DocumentCode
    1698264
  • Title

    Lower bounds in multi-objective H2/H∞ problems

  • Author

    Schere, C.W.

  • Author_Institution
    Mech. Eng. Syst. & Control Group, Delft Univ. of Technol.
  • Volume
    4
  • fYear
    1999
  • fDate
    6/21/1905 12:00:00 AM
  • Firstpage
    3605
  • Abstract
    In this paper we discuss a multiobjective control problem that involves several H2-norm and H∞-norm constraints. In an accompanying paper we show how to efficiently compute a sequence of upper bounds that converges monotonically from above to the optimal value of such problems. If more than one H∞ constraint is involved, it is shown how to compute as well a sequence of lower bounds that converges to the optimum. This complements the tools available for multiobjective LMI based control by a stopping criterion
  • Keywords
    H∞ control; computational complexity; convergence; H∞-norm constraints; H2-norm constraints; lower bounds; monotonic convergence; multiobjective H2/H∞ problems; multiobjective LMI based control; upper bound sequence; Control systems; Embedded computing; Hilbert space; Mechanical engineering; Multi-stage noise shaping; Noise reduction; Noise robustness; Robust control; Shape control; Upper bound;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 1999. Proceedings of the 38th IEEE Conference on
  • Conference_Location
    Phoenix, AZ
  • ISSN
    0191-2216
  • Print_ISBN
    0-7803-5250-5
  • Type

    conf

  • DOI
    10.1109/CDC.1999.827912
  • Filename
    827912
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1698264