• DocumentCode
    2170002
  • Title

    Infinite-dimensional Sylvester equation in observers design

  • Author

    Emirsajlow, Zbigniew ; Barcinski, Tomasz

  • Author_Institution
    Inst. of Control Eng., Szczecin Univ. of Technol., Szczecin, Poland
  • fYear
    2007
  • fDate
    2-5 July 2007
  • Firstpage
    5162
  • Lastpage
    5168
  • Abstract
    This paper studies the infinite-dimensional algebraic Sylvester equation and its application to the problem of designing an asymptotic observer for a linear infinite-dimensional system with bounded input and unbounded output operators. The main general results on the infinite-dimensional differential and algebraic Sylvester equations are derived by employing the concept of an implemented semigroup (see [5], [6], [8]). Then the results are shown to be useful in the design of asymptotic infinite-dimensional observers.
  • Keywords
    control system synthesis; differential equations; group theory; linear systems; multidimensional systems; observers; asymptotic infinite-dimensional observer design; bounded input operators; infinite-dimensional algebraic Sylvester equation; infinite-dimensional differential equations; linear infinite-dimensional system; unbounded output operators; Equations; Generators; Mathematical model; Observers; Topology; Trajectory;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Control Conference (ECC), 2007 European
  • Conference_Location
    Kos
  • Print_ISBN
    978-3-9524173-8-6
  • Type

    conf

  • Filename
    7068878