IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v9y2021i14p1664-d594935.html
   My bibliography  Save this article

Stabilization and the Design of Switching Laws of a Class of Switched Singularly Perturbed Systems via the Composite Control

Author

Listed:
  • Chun-Tang Chao

    (Department of Electrical Engineering, Southern Taiwan University of Science and Technology, 1, Nan-Tai St., Yongkang District, Tainan 71005, Taiwan)

  • Ding-Horng Chen

    (Department of Computer Science and Information Engineering, Southern Taiwan University of Science and Technology, Tainan 71005, Taiwan)

  • Juing-Shian Chiou

    (Department of Electrical Engineering, Southern Taiwan University of Science and Technology, 1, Nan-Tai St., Yongkang District, Tainan 71005, Taiwan)

Abstract

This paper proves that the controller design for switched singularly perturbed systems can be synthesized from the controllers of individual slow–fast subsystems. Under the switching rules of individual slow–fast subsystems, switched singularly perturbed systems can be stabilized under a small value of ε . The switching rule is designed on the basis of state transformation of the individual subsystems.

Suggested Citation

  • Chun-Tang Chao & Ding-Horng Chen & Juing-Shian Chiou, 2021. "Stabilization and the Design of Switching Laws of a Class of Switched Singularly Perturbed Systems via the Composite Control," Mathematics, MDPI, vol. 9(14), pages 1-11, July.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:14:p:1664-:d:594935
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/9/14/1664/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/9/14/1664/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Chiou, Juing-Shian & Cheng, Chun-Ming, 2009. "Stabilization analysis of the switched discrete-time systems using Lyapunov stability theorem and genetic algorithm," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 751-759.
    2. Intessar Al-Iedani & Zoran Gajic, 2020. "Optimal Control of Wind Turbine Systems via Time-Scale Decomposition," Energies, MDPI, vol. 13(2), pages 1-22, January.
    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:9:y:2021:i:14:p:1664-:d:594935. 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.