IDEAS home Printed from https://ideas.repec.org/a/hin/jnlmpe/817063.html
   My bibliography  Save this article

Suboptimal Regulation of a Class of Bilinear Interconnected Systems with Finite-Time Sliding Planning Horizons

Author

Listed:
  • M. de la Sen
  • Aitor J. Garrido
  • J. C. Soto
  • O. Barambones
  • I. Garrido

Abstract

This paper focuses on the suboptimization of a class of multivariable discrete-time bilinear systems consisting of interconnected bilinear subsystems with respect to a linear quadratic optimal regulation criterion which involves the use of state weighting terms only. Conditions which ensure the controllability of the overall system are given as a previous requirement for optimization. Three transformations of variables are made on the system equations in order to implement the scheme on an equivalent linear system. This leads to an equivalent representation of the used quadratic performance index that involves the appearance of quadratic weighting terms related to both transformed input and state variables. In this way, a Riccati-matrix sequence, allowing the synthesis of a standard feedback control law, is obtained. Finally, the proposed control scheme is tested on realistic examples.

Suggested Citation

  • M. de la Sen & Aitor J. Garrido & J. C. Soto & O. Barambones & I. Garrido, 2008. "Suboptimal Regulation of a Class of Bilinear Interconnected Systems with Finite-Time Sliding Planning Horizons," Mathematical Problems in Engineering, Hindawi, vol. 2008, pages 1-26, April.
    • Handle: RePEc:hin:jnlmpe:817063
    DOI: 10.1155/2008/817063
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/MPE/2008/817063.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/MPE/2008/817063.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2008/817063?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
    ---><---

    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:hin:jnlmpe:817063. 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: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.com .

    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.