IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v35y2008i4p781-785.html
   My bibliography  Save this article

Optimal PID control design for synchronization of delayed discrete chaotic systems

Author

Listed:
  • Hung, Meei-Ling
  • Lin, Jui-Sheng
  • Yan, Jun-Juh
  • Liao, Teh-Lu

Abstract

This paper is concerned with the design of a proportional-integral-derivative (PID) controller for synchronization of delayed discrete chaotic models. The evolutionary programming algorithm (EPA) has been considered as a useful technique for finding global optimization solutions for certain complicated functions in recent years. Therefore, in this paper, we attempt to use the EP algorithm in PID control design for deriving optimal or near optimal PID control gains such that a performance index between the master and slave chaotic systems is minimized. A numerical result exemplifies the synchronization procedure.

Suggested Citation

  • Hung, Meei-Ling & Lin, Jui-Sheng & Yan, Jun-Juh & Liao, Teh-Lu, 2008. "Optimal PID control design for synchronization of delayed discrete chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 35(4), pages 781-785.
    • Handle: RePEc:eee:chsofr:v:35:y:2008:i:4:p:781-785
    DOI: 10.1016/j.chaos.2006.05.048
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077906005182
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2006.05.048?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.

    References listed on IDEAS

    as
    1. Vasegh, Nastaran & Majd, Vahid Johari, 2006. "Adaptive fuzzy synchronization of discrete-time chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 28(4), pages 1029-1036.
    Full references (including those not matched with items on IDEAS)

    Citations

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


    Cited by:

    1. dos Santos Coelho, Leandro, 2009. "Tuning of PID controller for an automatic regulator voltage system using chaotic optimization approach," Chaos, Solitons & Fractals, Elsevier, vol. 39(4), pages 1504-1514.
    2. Coelho, Leandro dos Santos & Bernert, Diego Luis de Andrade, 2009. "PID control design for chaotic synchronization using a tribes optimization approach," Chaos, Solitons & Fractals, Elsevier, vol. 42(1), pages 634-640.
    3. Zhu, Hui & Li, Lixiang & Zhao, Ying & Guo, Yu & Yang, Yixian, 2009. "CAS algorithm-based optimum design of PID controller in AVR system," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 792-800.
    4. Hallaji, Majid & Dideban, Abbas & Khanesar, Mojtaba Ahmadieh & kamyad, Ali vahidyan, 2018. "Optimal synchronization of non-smooth fractional order chaotic systems with uncertainty based on extension of a numerical approach in fractional optimal control problems," Chaos, Solitons & Fractals, Elsevier, vol. 115(C), pages 325-340.
    5. Santos Coelho, Leandro dos & de Andrade Bernert, Diego Luis, 2009. "An improved harmony search algorithm for synchronization of discrete-time chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2526-2532.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Wang, Jiang & Si, Wenjie & Li, Huiyan, 2009. "Robust ISS-satisficing variable universe indirect fuzzy control for chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 39(1), pages 28-38.
    2. Vasegh, Nastaran & Majd, Vahid Johari, 2009. "Fuzzy model-based adaptive synchronization of time-delayed chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 40(3), pages 1484-1492.
    3. Pan, Shing-Tai & Lai, Chih-Chin, 2008. "Identification of chaotic systems by neural network with hybrid learning algorithm," Chaos, Solitons & Fractals, Elsevier, vol. 37(1), pages 233-244.

    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:eee:chsofr:v:35:y:2008:i:4:p:781-785. 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.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    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.