IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v11y2023i22p4674-d1281860.html
   My bibliography  Save this article

Output Feedback Control Design for Switched Systems with Unmatched Uncertainties Based on the Switched Robust Integral Sliding Mode

Author

Listed:
  • Xiaoyu Zhang

    (Beijing Key Laboratory of Robot Bionics and Function Research, Beijing University of Civil Engineering and Architecture, Beijing 100044, China)

  • Shuiping Xiong

    (Key Laboratory of AI and Information Processing, Education Department of Guangxi Zhuang Autonomous Region, Hechi University, Hechi 546300, China)

Abstract

This paper proposes an output feedback sliding-mode control design based on a switched robust integral sliding mode for switched systems with unmatched uncertainties. First, the control task based on the observer is given while the system state information cannot be measured directly. Then, the switched robust integral sliding mode is constructed on the space of the estimated state, while the parameters of the switched robust integral sliding mode are selected ensuring that the system state in the sliding mode is robustly and exponentially stable. Linear matrix inequality conditions for the stabilization switching rule and the common Lyapunov function criterion are achieved. Consequently, the corresponding sliding-mode controller is designed based on the state estimation and the switched robust integral sliding mode. Finally, the application simulation results in a one-link manipulator with the load change validate the effectiveness and feasibility.

Suggested Citation

  • Xiaoyu Zhang & Shuiping Xiong, 2023. "Output Feedback Control Design for Switched Systems with Unmatched Uncertainties Based on the Switched Robust Integral Sliding Mode," Mathematics, MDPI, vol. 11(22), pages 1-17, November.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:22:p:4674-:d:1281860
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/11/22/4674/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/11/22/4674/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Li, Jian & Guo, Xinxin & Chen, Cong & Su, Qingyu, 2019. "Robust fault diagnosis for switched systems based on sliding mode observer," Applied Mathematics and Computation, Elsevier, vol. 341(C), pages 193-203.
    2. Shuyan Qi & Jun Zhao & Li Tang, 2023. "Adaptive Output Feedback Control for Constrained Switched Systems with Input Quantization," Mathematics, MDPI, vol. 11(3), pages 1-16, February.
    3. Haijuan Zhao & Yugang Niu & Jun Song, 2018. "Finite-time output feedback control of uncertain switched systems via sliding mode design," International Journal of Systems Science, Taylor & Francis Journals, vol. 49(5), pages 984-996, 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.
    1. Zhang, Jiancheng & Chadli, Mohammed & Wang, Yan, 2019. "A fixed-time observer for discrete-time singular systems with unknown inputs," Applied Mathematics and Computation, Elsevier, vol. 363(C), pages 1-1.
    2. Xinsong Yang & Ruofeng Rao, 2023. "Well-Posedness, Dynamics, and Control of Nonlinear Differential System with Initial-Boundary Value," Mathematics, MDPI, vol. 11(10), pages 1-4, May.
    3. Nien-Tsu Hu, 2023. "Stability Analysis for Digital Redesign of Discrete-Time Switched Systems Using H ∞ Linear Matrix Inequality," Mathematics, MDPI, vol. 11(11), pages 1-22, May.
    4. Zhang, Zhi-Hui & Hao, Li-Ying & Guo, Mingjie, 2022. "Fault detection for uncertain nonlinear systems via recursive observer and tight threshold," Applied Mathematics and Computation, Elsevier, vol. 414(C).
    5. Wang, Zhichuang & Chen, Guoliang & Ba, Hezhen, 2019. "Stability analysis of nonlinear switched systems with sampled-data controllers," Applied Mathematics and Computation, Elsevier, vol. 357(C), pages 297-309.
    6. Mathiyalagan, Kalidass & Sangeetha, G., 2020. "Second-order sliding mode control for nonlinear fractional-order systems," Applied Mathematics and Computation, Elsevier, vol. 383(C).

    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:11:y:2023:i:22:p:4674-:d:1281860. 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.