IDEAS home Printed from https://ideas.repec.org/a/hin/jnljam/205727.html
   My bibliography  Save this article

Observer-Based Finite-Time Control of Singular Markovian Jump Systems

Author

Listed:
  • Yingqi Zhang
  • Wei Cheng
  • Xiaowu Mu
  • Xiulan Guo

Abstract

This paper addresses the problem of finite-time control via observer-based state feedback for a family of singular Markovian jump systems (SMJSs) with time-varying norm-bounded disturbance. Firstly, the concepts of singular stochastic finite-time boundedness and singular stochastic finite-time stabilization via observer-based state feedback are given. Then an observer-based state feedback controller is designed to ensure singular stochastic finite-time stabilization via observer-based state feedback of the resulting closed-loop error dynamic SMJS. Sufficient criteria are presented for the solvability of the problem, which can be reduced to a feasibility problem involving linear matrix inequalities with a fixed parameter. As an auxiliary result, we also discuss the problem of finite-time stabilization via observer-based state feedback of a class of SMJSs and give sufficient conditions of singular stochastic finite-time stabilization via observer-based state feedback for the class of SMJSs. Finally, illustrative examples are given to demonstrate the validity of the proposed techniques.

Suggested Citation

  • Yingqi Zhang & Wei Cheng & Xiaowu Mu & Xiulan Guo, 2012. "Observer-Based Finite-Time Control of Singular Markovian Jump Systems," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-19, April.
    • Handle: RePEc:hin:jnljam:205727
    DOI: 10.1155/2012/205727
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/JAM/2012/205727.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/JAM/2012/205727.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2012/205727?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:205727. 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.