IDEAS home Printed from https://ideas.repec.org/a/hin/jnljam/190417.html
   My bibliography  Save this article

Dynamic boundary controls of a rotating body-beam system with time-varying angular velocity

Author

Listed:
  • Boumediène Chentouf

Abstract

This paper deals with feedback stabilization of a flexible beam clamped at a rigid body and free at the other end. We assume that there is no damping and the rigid body rotates with a nonconstant angular velocity. To stabilize this system, we propose a feedback law which consists of a control torque applied on the rigid body and either a dynamic boundary control moment or a dynamic boundary control force or both of them applied at the free end of the beam. Then it is shown that the closed loop system is well posed and exponentially stable provided that the actuators, which generate the boundary controls, satisfy some classical assumptions and the angular velocity is smaller than a critical one.

Suggested Citation

  • Boumediène Chentouf, 2004. "Dynamic boundary controls of a rotating body-beam system with time-varying angular velocity," Journal of Applied Mathematics, Hindawi, vol. 2004, pages 1-20, January.
    • Handle: RePEc:hin:jnljam:190417
    DOI: 10.1155/S1110757X04312027
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/JAM/2004/190417.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/JAM/2004/190417.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/S1110757X04312027?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:jnljam:190417. 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.