IDEAS home Printed from https://ideas.repec.org/a/taf/tcybxx/v6y2020i3p146-164.html
   My bibliography  Save this article

Reliable exponential stabilisation for fractional-order semilinear parabolic distributed parameter systems: an LMI approach

Author

Listed:
  • Xiaona Song
  • Zhibo Wang
  • Mi Wang
  • Shuai Song

Abstract

This paper investigates the problem of exponential stabilisation for fractional-order semilinear parabolic distributed parameter systems with actuator faults, and a reliable state feedback controller is proposed. First, the considered nonlinear fractional-order distributed parameter systems are reconstructed by Takagi-Sugeno (T-S) fuzzy partial differential equation (PDE) model, where a finite number of actuators are active only at some specified points of the spatial domain. Then, based on the obtained fractional-order T-S fuzzy PDE model, a fractional-order Lyapunov technique is used to analyse the closed-loop exponential stability. By using the vector-valued Wirtinger’s inequality, a reliable state feedback controller that can guarantee locally exponential stabilisation of the fractional-order semilinear PDE systems is presented in terms of linear matrix inequalities. Finally, a numerical simulation is provided to demonstrate the effectiveness of the proposed method.

Suggested Citation

  • Xiaona Song & Zhibo Wang & Mi Wang & Shuai Song, 2020. "Reliable exponential stabilisation for fractional-order semilinear parabolic distributed parameter systems: an LMI approach," Cyber-Physical Systems, Taylor & Francis Journals, vol. 6(3), pages 146-164, July.
    • Handle: RePEc:taf:tcybxx:v:6:y:2020:i:3:p:146-164
    DOI: 10.1080/23335777.2020.1738556
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1080/23335777.2020.1738556
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1080/23335777.2020.1738556?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.

    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:tcybxx:v:6:y:2020:i:3:p:146-164. 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/tcyb .

    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.