IDEAS home Printed from https://ideas.repec.org/a/taf/nmcmxx/v24y2018i6p610-625.html
   My bibliography  Save this article

optimal model order reduction on the Stiefel manifold for the MIMO discrete system by the cross Gramian

Author

Listed:
  • Wei-Gang Wang
  • Yao-Lin Jiang

Abstract

In this paper, the H2 optimal model order reduction method for the large-scale multiple-input multiple-output (MIMO) discrete system is investigated. First, the MIMO discrete system is resolved into a number of single-input single-output (SISO) subsystems, and the H2 norm of the original MIMO discrete system is expressed by the cross Gramian of each subsystem. Then, the retraction and the vector transport on the Stiefel manifold are introduced, and the geometric conjugate gradient model order reduction method is proposed. The reduced system of the original MIMO discrete system is generated by using the proposed method. Finally, two numerical examples show the efficiency of the proposed method.

Suggested Citation

  • Wei-Gang Wang & Yao-Lin Jiang, 2018. "optimal model order reduction on the Stiefel manifold for the MIMO discrete system by the cross Gramian," Mathematical and Computer Modelling of Dynamical Systems, Taylor & Francis Journals, vol. 24(6), pages 610-625, November.
    • Handle: RePEc:taf:nmcmxx:v:24:y:2018:i:6:p:610-625
    DOI: 10.1080/13873954.2018.1519835
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1080/13873954.2018.1519835
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1080/13873954.2018.1519835?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Ion Necoara & Tudor-Corneliu Ionescu, 2022. "Optimal H 2 Moment Matching-Based Model Reduction for Linear Systems through (Non)convex Optimization," Mathematics, MDPI, vol. 10(10), pages 1-19, May.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:taf:nmcmxx:v:24:y:2018:i:6:p:610-625. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Chris Longhurst (email available below). General contact details of provider: http://www.tandfonline.com/NMCM20 .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.