IDEAS home Printed from https://ideas.repec.org/a/taf/nmcmxx/v11y2005i1p1-19.html
   My bibliography  Save this article

Nonlinear model simplification using L 2 -optimal bilinearization

Author

Listed:
  • J Deutscher

Abstract

This contribution considers the approximation of n th order nonlinear affine input systems by bilinear systems of order higher than n to obtain simpler models for nonlinear control design. The new approach called L 2 -optimal bilinearization allows us to specify beforehand a desired multivariable interval in the state space, where the resulting bilinear system is an accurate system approximation of the nonlinear plant under consideration. The accuracy of the approximation model can be determined by the approximation degree and by specifying the approximation interval. A systematic approximation procedure for applying the L 2 -optimal bilinearization is provided and demonstrated via two examples.

Suggested Citation

  • J Deutscher, 2005. "Nonlinear model simplification using L 2 -optimal bilinearization," Mathematical and Computer Modelling of Dynamical Systems, Taylor & Francis Journals, vol. 11(1), pages 1-19, March.
    • Handle: RePEc:taf:nmcmxx:v:11:y:2005:i:1:p:1-19
    DOI: 10.1080/13873950500052496
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1080/13873950500052496
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1080/13873950500052496?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. Xiao-Long Wang & Yao-Lin Jiang, 2013. "Two-sided projection methods for model reduction of MIMO bilinear systems," Mathematical and Computer Modelling of Dynamical Systems, Taylor & Francis Journals, vol. 19(6), pages 575-592, December.

    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:11:y:2005:i:1:p:1-19. 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.