• DocumentCode
    1359630
  • Title

    Model reduction of linear conservative mechanical systems

  • Author

    Van der Schaft, A.J. ; Oeloff, J.E.

  • Author_Institution
    Dept. of Appl. Math., Twente Univ., Enschede, Netherlands
  • Volume
    35
  • Issue
    6
  • fYear
    1990
  • fDate
    6/1/1990 12:00:00 AM
  • Firstpage
    729
  • Lastpage
    733
  • Abstract
    An approach for model reduction of linear conservative or weakly damped mechanical systems is proposed. It is based on the balancing of an associated gradient system. It uses the joint knowledge of the system matrix and the input and output matrices of the Hamiltonian system. The key idea is to associate with the Hamiltonian system a gradient (or reciprocal) system
  • Keywords
    damping; linear systems; matrix algebra; Hamiltonian system; conservative systems; gradient system; linear systems; mechanical systems; model reduction; weakly damped systems; Automatic control; Control systems; Eigenvalues and eigenfunctions; Equations; Jacobian matrices; Mechanical systems; Reduced order systems; Regulators; Testing; Transfer functions;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/9.53555
  • Filename
    53555