• DocumentCode
    1293189
  • Title

    Model Order Reduction by Balanced Proper Orthogonal Decomposition and by Rational Interpolation

  • Author

    Opmeer, Mark R.

  • Author_Institution
    Dept. of Math. Sci., Univ. of Bath, Bath, UK
  • Volume
    57
  • Issue
    2
  • fYear
    2012
  • Firstpage
    472
  • Lastpage
    477
  • Abstract
    We show that model order reduction by rational interpolation (also known as moment matching or rational Krylov) can be seen as the special case of balanced Proper Orthogonal Decomposition where all the snapshots are retained and particular numerical procedures are used to obtain the snapshots.
  • Keywords
    MIMO systems; interpolation; reduced order systems; balanced proper orthogonal decomposition; model order reduction; moment matching; rational Krylov; rational interpolation; Interpolation; Numerical models; Numerical stability; Reduced order systems; Singular value decomposition; Transfer functions; Model/controller reduction; linear systems;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.2011.2164018
  • Filename
    5978199
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1293189