• DocumentCode
    390989
  • Title

    On two projection related properties of the L2 optimal reduced order model

  • Author

    Halevi, Yoram

  • Author_Institution
    Fac. of Mech. Eng., Technion - Israel Inst. of Technol., Haifa, Israel
  • Volume
    3
  • fYear
    2002
  • fDate
    10-13 Dec. 2002
  • Firstpage
    2919
  • Abstract
    The paper investigates reduced order models obtained by projection of a high order system, and presents two properties of optimal L2 reduced order models. It deals first with the existence and uniqueness of a projection that relates the given full order and reduced order systems. Then it is shown that in cases where not all models of a certain order can be obtained by a projection, the optimal L2 reduced order model is obtained by a unique projection, which resides on the boundary of the set of attainable models. Another result that is presented is matrix inequalities that characterize the optimal projection.
  • Keywords
    eigenvalues and eigenfunctions; linear matrix inequalities; linear systems; optimisation; reduced order systems; state-space methods; eigenvalues; high order system; linear invariant system; matrix inequalities; optimal reduced order model; optimality condition; state space; Cost function; Electronic mail; Linear matrix inequalities; Mechanical engineering; Mechanical factors; Optimal control; Paper technology; Reduced order systems; State-space methods; USA Councils;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 2002, Proceedings of the 41st IEEE Conference on
  • ISSN
    0191-2216
  • Print_ISBN
    0-7803-7516-5
  • Type

    conf

  • DOI
    10.1109/CDC.2002.1184294
  • Filename
    1184294
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=390989