IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v322y2018icp79-88.html
   My bibliography  Save this article

Robust disturbance rejection for uncertain fractional-order systems

Author

Listed:
  • Liu, Rui-Juan
  • Nie, Zhuo-Yun
  • Wu, Min
  • She, Jinhua

Abstract

This paper describes a disturbance rejection scheme that adopts equivalent-input-disturbance (EID) approach for uncertain fractional-order (FO) systems. An EID estimator that contains an FO observer is designed to actively compensate for the disturbances and process modeling uncertainties without requiring their prior knowledge. Under the construction of the FO control system, a robust stability condition and the parameters of the controller are derived using a linear matrix inequality based method. Finally, numerical and practical examples are illustrated to demonstrate the validity and superiority of the method.

Suggested Citation

  • Liu, Rui-Juan & Nie, Zhuo-Yun & Wu, Min & She, Jinhua, 2018. "Robust disturbance rejection for uncertain fractional-order systems," Applied Mathematics and Computation, Elsevier, vol. 322(C), pages 79-88.
    • Handle: RePEc:eee:apmaco:v:322:y:2018:i:c:p:79-88
    DOI: 10.1016/j.amc.2017.11.021
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300317308032
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2017.11.021?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. Cai, Ruiyang & Ge, Fudong & Chen, YangQuan & Kou, Chunhai, 2019. "Regional observability for Hadamard-Caputo time fractional distributed parameter systems," Applied Mathematics and Computation, Elsevier, vol. 360(C), pages 190-202.
    2. Li, Yankai & Chen, Mou & Li, Tao & Shi, Peng, 2020. "Anti-disturbance reference mode resilient dynamic output feedback control for turbofan systems," Applied Mathematics and Computation, Elsevier, vol. 378(C).
    3. Zhenlong Wu & Ting He & Li Sun & Donghai Li & Yali Xue, 2018. "The Facilitation of a Sustainable Power System: A Practice from Data-Driven Enhanced Boiler Control," Sustainability, MDPI, vol. 10(4), pages 1-21, April.
    4. Li, Qiaoping & Liu, Sanyang & Chen, Yonggang, 2018. "Combination event-triggered adaptive networked synchronization communication for nonlinear uncertain fractional-order chaotic systems," Applied Mathematics and Computation, Elsevier, vol. 333(C), pages 521-535.
    5. Yao, Xueqi & Zhong, Shouming, 2021. "EID-based robust stabilization for delayed fractional-order nonlinear uncertain system with application in memristive neural networks," Chaos, Solitons & Fractals, Elsevier, vol. 144(C).

    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:eee:apmaco:v:322:y:2018:i:c:p:79-88. 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: Catherine Liu (email available below). General contact details of provider: https://www.journals.elsevier.com/applied-mathematics-and-computation .

    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.