IDEAS home Printed from https://ideas.repec.org/a/hin/jnlmpe/201432.html
   My bibliography  Save this article

Adaptive Fuzzy Robust Control for a Class of Nonlinear Systems via Small Gain Theorem

Author

Listed:
  • Xingjian Wang
  • Shaoping Wang

Abstract

Practical nonlinear systems can usually be represented by partly linearizable models with unknown nonlinearities and external disturbances. Based on this consideration, we propose a novel adaptive fuzzy robust control (AFRC) algorithm for such systems. The AFRC effectively combines techniques of adaptive control and fuzzy control, and it improves the performance by retaining the advantages of both methods. The linearizable part will be linearly parameterized with unknown but constant parameters, and the discontinuous-projection-based adaptive control law is used to compensate these parts. The Takagi-Sugeno fuzzy logic systems are used to approximate unknown nonlinearities. Robust control law ensures the robustness of closed-loop control system. A systematic design procedure of the AFRC algorithm by combining the backstepping technique and small-gain approach is presented. Then the closed-loop stability is studied by using small gain theorem, and the result indicates that the closed-loop system is semiglobally uniformly ultimately bounded.

Suggested Citation

  • Xingjian Wang & Shaoping Wang, 2013. "Adaptive Fuzzy Robust Control for a Class of Nonlinear Systems via Small Gain Theorem," Mathematical Problems in Engineering, Hindawi, vol. 2013, pages 1-11, May.
    • Handle: RePEc:hin:jnlmpe:201432
    DOI: 10.1155/2013/201432
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/MPE/2013/201432.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/MPE/2013/201432.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2013/201432?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:201432. 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.