• DocumentCode
    1519518
  • Title

    H2 near-optimal model reduction

  • Author

    Huang, Xue-Xiang ; Yan, Wei-Yong ; Teo, K.L.

  • Author_Institution
    Dept. of Math. & Comput. Sci., Chongqing Normal Univ., China
  • Volume
    46
  • Issue
    8
  • fYear
    2001
  • fDate
    8/1/2001 12:00:00 AM
  • Firstpage
    1279
  • Lastpage
    1284
  • Abstract
    This note considers the problem of finding a stable reduced-order model for a given stable model so that its H2 model reduction cost differs by less than a prescribed error from the optimal cost, which may or may not be achievable. It is shown that this new version of the long-standing H2 optimal model reduction problem can be reduced to a well-posed smooth constrained minimization problem whose global solution is guaranteed to exist. In addition, a globally convergent algorithm in the form of an ordinary differential equation is derived
  • Keywords
    H∞ control; convergence; differential equations; minimisation; reduced order systems; stability; DE; H2 near-optimal model reduction; globally convergent algorithm; optimal cost; ordinary differential equation; stable reduced-order model; well-posed smooth constrained minimization problem; Australia Council; Computer science; Convergence of numerical methods; Cost function; Differential equations; Linear systems; Mathematics; Reduced order systems; Stability;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/9.940934
  • Filename
    940934
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1519518