• DocumentCode
    1379780
  • Title

    Observer Design for (\\max , +) Linear Systems

  • Author

    Hardouin, Laurent ; Maia, Carlos Andrey ; Cottenceau, Bertrand ; Lhommeau, Mehdi

  • Author_Institution
    Lab. d´´Ing. des Syst. Automatises, Univ. d´´Angers, Angers, France
  • Volume
    55
  • Issue
    2
  • fYear
    2010
  • Firstpage
    538
  • Lastpage
    543
  • Abstract
    This technical note deals with the state estimation for max-plus linear systems. This estimation is carried out following the ideas of the observer method for classical linear systems. The system matrices are assumed to be known, and the observation of the input and of the output is used to compute the estimated state. The observer design is based on the residuation theory which is suitable to deal with linear mapping inversion in idempotent semiring.
  • Keywords
    discrete event systems; linear systems; state estimation; (max, +) linear systems; idempotent semiring; linear mapping inversion; observer design; residuation theory; state estimation; system matrices; Automatic control; Equations; Dioid; discrete event dynamics systems; idempotent semirings; max-plus algebra; observer; residuation theory; state estimation; timed event graphs (TEGs);
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.2009.2037477
  • Filename
    5378460
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1379780