IDEAS home Printed from https://ideas.repec.org/a/taf/tsysxx/v47y2016i7p1624-1635.html
   My bibliography  Save this article

An extended inner–outer factorisation algorithm based on the structure of a transfer function matrix inverse

Author

Listed:
  • Wei Zhang
  • Chunhui Zhao
  • Xing He
  • Weidong Zhang

Abstract

In this paper, the structure feature of the inverse of a multi-input/multi-output square transfer function matrix is explored. Instead of complicated advanced mathematical tools, we only use basic results of complex analysis in the analysing procedure. By employing the Laurent expression, an elegant structure form of the expansion is obtained for the transfer function matrix inverse. This expansion form is the key of deriving an analytical solution to the inner–outer factorisation for both stable plants and unstable plants. Different from other computation algorithm, the obtained inner–outer factorisation is given in an analytical form. The solution is exact and without approximation. Numerical examples are provided to verify the correctness of the obtained results.

Suggested Citation

  • Wei Zhang & Chunhui Zhao & Xing He & Weidong Zhang, 2016. "An extended inner–outer factorisation algorithm based on the structure of a transfer function matrix inverse," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(7), pages 1624-1635, May.
    • Handle: RePEc:taf:tsysxx:v:47:y:2016:i:7:p:1624-1635
    DOI: 10.1080/00207721.2014.942244
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1080/00207721.2014.942244
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1080/00207721.2014.942244?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.

    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:tsysxx:v:47:y:2016:i:7:p:1624-1635. 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/TSYS20 .

    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.