IDEAS home Printed from https://ideas.repec.org/h/spr/spochp/978-3-662-43793-3_11.html
   My bibliography  Save this book chapter

Optimal Control of Switched Time-Delay Systems

In: Optimal Control of Switched Systems Arising in Fermentation Processes

Author

Listed:
  • Chongyang Liu

    (Shandong Institute of Business and Technology)

  • Zhaohua Gong

    (Shandong Institute of Business and Technology)

Abstract

In this chapter, we focalize on optimal control of a switched time-delay system arising in constantly fed-batch fermentation process. In the optimal control model, the switching instants as well as the terminal time is taken as the control function. By using a time-scaling transformation, the optimal control problem with free terminal time is transformed to the one with fixed terminal time. Furthermore, the switching instants in the transformed optimal control problem are parameterized as a new parameter vector. Then, the gradients of the cost functional and constraints with respect to the terminal time and the new parameter vector are derived respectively. On this basis, a gradient-based optimization technique is developed to seek the optimal switching instants and terminal time. Numerical results show the effectiveness of the developed algorithm.

Suggested Citation

  • Chongyang Liu & Zhaohua Gong, 2014. "Optimal Control of Switched Time-Delay Systems," Springer Optimization and Its Applications, in: Optimal Control of Switched Systems Arising in Fermentation Processes, edition 127, chapter 0, pages 159-175, Springer.
    • Handle: RePEc:spr:spochp:978-3-662-43793-3_11
    DOI: 10.1007/978-3-662-43793-3_11
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a search for a similarly titled item that would be available.

    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:spr:spochp:978-3-662-43793-3_11. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.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.