IDEAS home Printed from https://ideas.repec.org/a/hin/jnlmpe/904914.html
   My bibliography  Save this article

State Feedback Guaranteed Cost Repetitive Control for Uncertain Discrete-Time Systems

Author

Listed:
  • Wentao Chen
  • Yechun Lin
  • Qingping Wu

Abstract

This paper considers the problem of guaranteed cost repetitive control for uncertain discrete-time systems. The uncertainty in the system is assumed to be norm-bounded and time-varying. The objective is to develop a novel design method so that the closed-loop repetitive control system is quadratically stable and a certain bound of performance index is guaranteed for all admissible uncertainties. The state feedback control technique is used in the paper. While for the case that the states are not measurable, an observer-based control scheme is adopted. Sufficient conditions for the existence of guaranteed cost control law are derived in terms of linear matrix inequality (LMI). The control and observer gains are characterized by the feasible solutions to these LMIs. The optimal guaranteed cost control law is obtained efficiently by solving an optimization problem with LMI constraints using existing convex optimization algorithms. A simulation example is provided to illustrate the validity of the proposed method.

Suggested Citation

  • Wentao Chen & Yechun Lin & Qingping Wu, 2011. "State Feedback Guaranteed Cost Repetitive Control for Uncertain Discrete-Time Systems," Mathematical Problems in Engineering, Hindawi, vol. 2011, pages 1-16, May.
    • Handle: RePEc:hin:jnlmpe:904914
    DOI: 10.1155/2011/904914
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/MPE/2011/904914.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/MPE/2011/904914.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2011/904914?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:904914. 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.