IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v12y2024i17p2793-d1474624.html
   My bibliography  Save this article

Reduction in Optimal Time in Systems with Input Redundancy

Author

Listed:
  • Zhongxing Peng

    (School of Computer Information Engineering, Hanshan Normal University, Chaozhou 521041, China)

  • Gengzhong Zheng

    (School of Computer Information Engineering, Hanshan Normal University, Chaozhou 521041, China)

  • Wei Huang

    (School of Computer Information Engineering, Hanshan Normal University, Chaozhou 521041, China)

Abstract

This paper discusses a reduction in the optimal time due to the presence of input redundancy in time-optimal control problems. By introducing a non-idle channel to represent an active input channel, we establish the necessary and sufficient conditions that ensure a strict reduction in the optimal time for affine nonlinear systems. In cases of identical input redundancy, its impact varies according to the type of input constraint, and certain types may not lead to a reduction in the optimal time. Ultimately, in linear time-invariant (LTI) systems, the extent of the optimal time reduction depends on the system’s controllability.

Suggested Citation

  • Zhongxing Peng & Gengzhong Zheng & Wei Huang, 2024. "Reduction in Optimal Time in Systems with Input Redundancy," Mathematics, MDPI, vol. 12(17), pages 1-15, September.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:17:p:2793-:d:1474624
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/12/17/2793/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/12/17/2793/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Jianzhou Liu & Fuying Tang & Hongzheng Quan, 2024. "High-performance LQR control for continuous time systems with redundant control inputs," International Journal of Systems Science, Taylor & Francis Journals, vol. 55(5), pages 909-925, April.
    Full references (including those not matched with items on IDEAS)

    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.

      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:gam:jmathe:v:12:y:2024:i:17:p:2793-:d:1474624. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.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.