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The H2 Control Problem with Internal Stability

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F04%3A03099584" target="_blank" >RIV/68407700:21230/04:03099584 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    The H2 Control Problem with Internal Stability

  • Original language description

    A solution of the H2 control problem is presented for linear systems described by rational transfer matrices. The solution proceeds in three steps. Firstly, the set of all controlers that stabilize internally the control system is parametrized. Then thesubset of the stabilizing controlers that achieve a finite value of the H2 norm of the system transfer function is described, also in parametric form. Finally, the optimal controller is obtained by selecting the parameter that minimizes the norm. The mathematical tool applied are doubly comprime, proper stable factorizations of rational matrices. Based on this description of the plant, two synthesis algorithms are derived: the primal and the dual one. The construction of the optimal controller requirestwo specific operations with proper stable rational matrices: inner-outer factorization and proper stable projection.

  • Czech name

    Není k dispozici

  • Czech description

    Není k dispozici

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    BC - Theory and management systems

  • OECD FORD branch

Result continuities

  • Project

  • Continuities

    Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2004

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Article name in the collection

    IEEE Conference on Control Applications, International Symposium on Inteligent Control, Computer Aided Control Systems Design 2004

  • ISBN

  • ISSN

  • e-ISSN

  • Number of pages

    8

  • Pages from-to

    107-114

  • Publisher name

    IEEE Control System Society

  • Place of publication

    New York

  • Event location

    Taipei

  • Event date

    Sep 2, 2004

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article