IDEAS home Printed from https://ideas.repec.org/a/taf/tsysxx/v48y2017i4p805-817.html
   My bibliography  Save this article

Fault estimation for a class of nonlinear Markov jump systems with general uncertain transition rates

Author

Listed:
  • Li-Wei Li
  • Guang-Hong Yang

Abstract

This paper addresses the problem of fault estimation for a class of nonlinear Markov jump systems with Lipschitz-type nonlinearities and general transition rates allowed to be uncertain and unknown. First, by introducing a mode-dependent intermediate variable, an intermediate estimator is proposed to estimate faults and state simultaneously. Then, a vertex separator is exploited to develop a sufficient condition for the fault estimator design in terms of linear matrix inequalities. The design guarantees the boundedness in probability of the estimation errors if the derivations of the faults are bounded. Further, it is proved that the proposed approach is less conservative than the traditional methods. Finally, examples are given to show the advantages and effectiveness of the results.

Suggested Citation

  • Li-Wei Li & Guang-Hong Yang, 2017. "Fault estimation for a class of nonlinear Markov jump systems with general uncertain transition rates," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(4), pages 805-817, March.
    • Handle: RePEc:taf:tsysxx:v:48:y:2017:i:4:p:805-817
    DOI: 10.1080/00207721.2016.1216199
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1080/00207721.2016.1216199
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1080/00207721.2016.1216199?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. Vargas, Alessandro N. & Montezuma, Marcio A.F. & Liu, Xinghua & Oliveira, Ricardo C.L.F., 2019. "Robust stability of Markov jump linear systems through randomized evaluations," Applied Mathematics and Computation, Elsevier, vol. 346(C), pages 287-294.

    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:48:y:2017:i:4:p:805-817. 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.