IDEAS home Printed from https://ideas.repec.org/a/wly/jnlmpe/v2023y2023i1n8950806.html

A Global Control Strategy to Remove Slow Delay Conditions for Delayed Systems with Complicated Polynomial Terms

Author

Listed:
  • Lingrong Xue
  • Qianqian Zhang
  • Zhen-Guo Liu

Abstract

Nonlinear systems constantly suffer from time‐varying delays, which cover slow delays and nonslow delays. The existing results were used to impose slow delay conditions and were used to study the control problems, but few pieces of research studies have discussed the case of systems with nonslow delay. In this work, we remove the slow time‐delay condition and consider the nonlinear delayed system with complicated polynomial terms. By proposing a dynamic gain method and constructing a new Lyapunov–Razumikhin (L‐R) function, we successfully construct a stable controller, which guarantees that the plant is globally asymptotically stable (GAS). An example is utilized to verify the raised control scheme.

Suggested Citation

  • Lingrong Xue & Qianqian Zhang & Zhen-Guo Liu, 2023. "A Global Control Strategy to Remove Slow Delay Conditions for Delayed Systems with Complicated Polynomial Terms," Mathematical Problems in Engineering, John Wiley & Sons, vol. 2023(1).
    • Handle: RePEc:wly:jnlmpe:v:2023:y:2023:i:1:n:8950806
    DOI: 10.1155/2023/8950806
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/2023/8950806
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2023/8950806?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
    ---><---

    References listed on IDEAS

    as
    1. Yoo, Sung Jin & Park, Bong Seok, 2021. "Quantized feedback control strategy for tracking performance guarantee of nonholonomic mobile robots with uncertain nonlinear dynamics," Applied Mathematics and Computation, Elsevier, vol. 407(C).
    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.
    1. Amin Taghieh & Ardashir Mohammadzadeh & Jafar Tavoosi & Saleh Mobayen & Thaned Rojsiraphisal & Jihad H. Asad & Anton Zhilenkov, 2021. "Observer-Based Control for Nonlinear Time-Delayed Asynchronously Switching Systems: A New LMI Approach," Mathematics, MDPI, vol. 9(22), pages 1-25, November.
    2. Wang, Wei & Xie, Xiangpeng & Feng, Changyang, 2022. "Model-free finite-horizon optimal tracking control of discrete-time linear systems," Applied Mathematics and Computation, Elsevier, vol. 433(C).
    3. Xu, Hao & Ju, Hehua & Yu, Meng, 2024. "An innovative joint-space dynamic theory for mobile multi-axis system with unilateral constraint," Applied Mathematics and Computation, Elsevier, vol. 479(C).
    4. Miranda-Colorado, Roger, 2022. "Observer-based proportional integral derivative control for trajectory tracking of wheeled mobile robots with kinematic disturbances," Applied Mathematics and Computation, Elsevier, vol. 432(C).
    5. Xiongfeng Deng & Jiakai Wang, 2022. "Fuzzy-Based Adaptive Dynamic Surface Control for a Type of Uncertain Nonlinear System with Unknown Actuator Faults," Mathematics, MDPI, vol. 10(10), pages 1-21, May.

    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:wly:jnlmpe:v:2023:y:2023:i:1:n:8950806. 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: Wiley Content Delivery (email available below). General contact details of provider: https://onlinelibrary.wiley.com/journal/2629 .

    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.