IDEAS home Printed from https://ideas.repec.org/a/hin/jnlmpe/3796486.html
   My bibliography  Save this article

ADRC Method for Noncascaded Integral System Based on the Total Derivative of Composite Functions of Several Variables

Author

Listed:
  • Zhijian Huang
  • Xuemei Xiong
  • Hailong Wang
  • Yuli Chen
  • Yihua Liu

Abstract

The standard ADRC controller usually selects the canonical plant in the form of cascaded integrators. However, the condition variables of practical system do not necessarily have the cascaded integral relationship. Therefore, this paper proposes a method of total derivative of composite functions of several variables and a structure, which can convert the state space system of noncascaded integral form into the cascaded integral form. In this way, the converted system can be directly controlled with ADRC. Meanwhile, the control of Chen chaotic system is discussed in detail to show the conversion and the controller design. The control performances under different levels of complication and different strengths of disturbance are comparably researched. The converted system achieves significantly better control effects under ADRC than that of the PID. This converting method solves the control problem of some noncascaded integral systems in both theory and application and greatly expands the application scope of the standard ADRC method.

Suggested Citation

  • Zhijian Huang & Xuemei Xiong & Hailong Wang & Yuli Chen & Yihua Liu, 2016. "ADRC Method for Noncascaded Integral System Based on the Total Derivative of Composite Functions of Several Variables," Mathematical Problems in Engineering, Hindawi, vol. 2016, pages 1-9, December.
    • Handle: RePEc:hin:jnlmpe:3796486
    DOI: 10.1155/2016/3796486
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/MPE/2016/3796486.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/MPE/2016/3796486.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2016/3796486?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:jnlmpe:3796486. 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.