IDEAS home Printed from https://ideas.repec.org/a/taf/tsysxx/v42y2011i7p1197-1205.html
   My bibliography  Save this article

Robust finite-time control for a class of extended stochastic switching systems

Author

Listed:
  • Xiaoli Luan
  • Fei Liu
  • Peng Shi

Abstract

This article proposes a new design approach for robust finite-time H∞ control of a class of Markov jump systems with partially known information on the transition jump rates. The system under consideration involves norm-bounded parameter uncertainties and external disturbance. The problems of robust finite-time boundedness and finite-time stabilisation of the underlying systems are considered. Then, a H∞ state feedback controller is designed. Sufficient conditions that consider only the known bounds on the transition jump rates are developed in the form of linear matrix inequalities. A numerical example is included to show the usefulness of the theoretic results obtained.

Suggested Citation

  • Xiaoli Luan & Fei Liu & Peng Shi, 2011. "Robust finite-time control for a class of extended stochastic switching systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 42(7), pages 1197-1205.
    • Handle: RePEc:taf:tsysxx:v:42:y:2011:i:7:p:1197-1205
    DOI: 10.1080/00207720903428898
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1080/00207720903428898
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1080/00207720903428898?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. Yeguo Sun, 2014. "Finite-time boundedness and stabilisation of networked control systems with bounded packet dropout," International Journal of Systems Science, Taylor & Francis Journals, vol. 45(9), pages 1963-1969, September.

    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:42:y:2011:i:7:p:1197-1205. 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.