IDEAS home Printed from https://ideas.repec.org/a/hin/complx/5873230.html
   My bibliography  Save this article

No Chattering and Adaptive Sliding Mode Control of a Fractional-Order Phase Converter with Disturbances and Parameter Uncertainties

Author

Listed:
  • Karthikeyan Rajagopal
  • Riessom Weldegiorgis
  • Anitha Karthikeyan
  • Prakash Duraisamy
  • Goitom Tadesse

Abstract

Discussing the dynamical properties of various power system models is of significant importance in order to understand its complete behavior. Even though there are many literatures discussing about the chaotic behavior shown by phase converter circuits, none of them have reported the hazardous phenomenon of multistability. In this paper, we derive the fractional-order model of a phase converter circuit and investigate its dynamics. Bifurcation of the system with the parameters and fractional order are investigated. A forward and backward continuation scheme is adopted to display various coexisting attractors; the property of multistability is also discussed. Using forward and backward continuation, various coexisting attractors and the property of multistability are discussed. Two different sliding mode controllers for controlling chaotic oscillations with model disturbances and parameter uncertainties are derived, and the effectiveness of the controllers is discussed with numerical simulations.

Suggested Citation

  • Karthikeyan Rajagopal & Riessom Weldegiorgis & Anitha Karthikeyan & Prakash Duraisamy & Goitom Tadesse, 2018. "No Chattering and Adaptive Sliding Mode Control of a Fractional-Order Phase Converter with Disturbances and Parameter Uncertainties," Complexity, Hindawi, vol. 2018, pages 1-13, October.
    • Handle: RePEc:hin:complx:5873230
    DOI: 10.1155/2018/5873230
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/8503/2018/5873230.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/8503/2018/5873230.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2018/5873230?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:complx:5873230. 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.