IDEAS home Printed from https://ideas.repec.org/a/hin/complx/3253497.html
   My bibliography  Save this article

A New Design Method for PI-PD Control of Unstable Fractional-Order System with Time Delay

Author

Listed:
  • Min Zheng
  • Tao Huang
  • Guangfeng Zhang

Abstract

In this paper, a practical PI-PD controller parameter tuning method is proposed, which uses the incenter of the triangle and the Fermat point of the convex polygon to optimize the PI-PD controller. Combined with the stability boundary locus method, the PI-PD controller parameters that can ensure stability for the unstable fractional-order system with time delay are obtained. Firstly, the parameters of the inner-loop PD controller are determined by the centre coordinates of the CSR in the plane. Secondly, a new graphical method is used to calculate the parameters of the PI controller, in which Fermat points in the CSR of ( ) plane are selected. Furthermore, the method is extended to uncertain systems, and the PI-PD controller parameters are obtained by using the proposed method through common stable region of all stable regions. The proposed graphical method not only ensures the stability of the closed-loop system but also avoids the complicated optimization calculations. The superior control performance of this method is illustrated by simulation.

Suggested Citation

  • Min Zheng & Tao Huang & Guangfeng Zhang, 2019. "A New Design Method for PI-PD Control of Unstable Fractional-Order System with Time Delay," Complexity, Hindawi, vol. 2019, pages 1-12, October.
    • Handle: RePEc:hin:complx:3253497
    DOI: 10.1155/2019/3253497
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/8503/2019/3253497.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/8503/2019/3253497.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2019/3253497?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
    ---><---

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Tayyab Ali & Suheel Abdullah Malik & Amil Daraz & Sheraz Aslam & Tamim Alkhalifah, 2022. "Dandelion Optimizer-Based Combined Automatic Voltage Regulation and Load Frequency Control in a Multi-Area, Multi-Source Interconnected Power System with Nonlinearities," Energies, MDPI, vol. 15(22), pages 1-34, November.

    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:3253497. 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.