• DocumentCode
    1061712
  • Title

    On estimation error bounds for receding-horizon filters using quadratic boundedness

  • Author

    Alessandri, Angelo ; Baglietto, Marco ; Battistelli, Giorgio

  • Author_Institution
    Inst. of Intelligent Syst. for Autom., Nat. Res. Council of Italy, Genova, Italy
  • Volume
    49
  • Issue
    8
  • fYear
    2004
  • Firstpage
    1350
  • Lastpage
    1355
  • Abstract
    Quadratic boundedness is used to deal with stability and design of receding-horizon estimators. Upper bounds on the norm of the estimation error have been found by means of invariant sets that can be constructed by using quadratic boundedness. Moreover, these bounds are expressed in terms of linear matrix inequalities and are well-suited to being minimized for the purpose of design.
  • Keywords
    discrete time systems; filtering theory; invariance; linear matrix inequalities; linear systems; minimisation; stability; state estimation; discrete-time linear systems; estimation error bounds; invariant sets; linear matrix inequalities; quadratic boundedness; receding-horizon estimators; receding-horizon filters; Cost function; Estimation error; Fault diagnosis; Filters; Linear matrix inequalities; Linear systems; State estimation; Symmetric matrices; Upper bound; Vectors; Bounded estimation error; quadratic boundedness; receding horizon; state estimation;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.2004.832652
  • Filename
    1323176