IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v514y2026ics0096300325005399.html

Fuzzy adaptive asymptotic tracking control for uncertain nonlinear systems with full-state constraints of arbitrary time

Author

Listed:
  • Wang, Chunxiao
  • Wang, Aodi
  • Chen, Qimeng
  • Yu, Jiali
  • Liu, Xiufang

Abstract

An adaptive control scheme is developed in this study to achieve asymptotic tracking for strict feedback nonlinear systems with asymmetric full-state constraints of arbitrary time period. Meanwhile, uncertain nonlinear factors and external disturbances are considered. State constraints of arbitrary time period mean that system states are constrained during arbitrary finite time period and not constrained at the other. A new shifting function and state transformations are employed to address state constraints of arbitrary time period, and the asymptotic Lyapunov function is constructed to achieve asymptotic tracking. For the nonlinear system with unknown nonlinear uncertainties, a fuzzy logic system is introduced. Fuzzy rules and membership functions are used to flexibly fit the unknown continuous functions. Dynamic Surface Control (DSC) is systematically employed to avoid the computational complexity associated with traditional backstepping methods. In comparison to existing results, the presented control strategy solves asymptotic tracking problem for state constraints of arbitrary time period for the first time, while guaranteeing that all closed-loop signals remain bounded. Lastly, a rigorous validation of the proposed control strategy is conducted via comprehensive numerical simulations.

Suggested Citation

  • Wang, Chunxiao & Wang, Aodi & Chen, Qimeng & Yu, Jiali & Liu, Xiufang, 2026. "Fuzzy adaptive asymptotic tracking control for uncertain nonlinear systems with full-state constraints of arbitrary time," Applied Mathematics and Computation, Elsevier, vol. 514(C).
    • Handle: RePEc:eee:apmaco:v:514:y:2026:i:c:s0096300325005399
    DOI: 10.1016/j.amc.2025.129814
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300325005399
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2025.129814?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
    ---><---

    As the access to this document is restricted, you may want to

    for a different version of it.

    References listed on IDEAS

    as
    1. Wang, Sanxia & Xia, Jianwei & Wang, Xueliang & Yang, Wenjing & Wang, Linqi, 2021. "Adaptive neural networks control for MIMO nonlinear systems with unmeasured states and unmodeled dynamics," Applied Mathematics and Computation, Elsevier, vol. 408(C).
    2. Shanmugam, Lakshmanan & Joo, Young Hoon, 2023. "Adaptive neural networks-based integral sliding mode control for T-S fuzzy model of delayed nonlinear systems," Applied Mathematics and Computation, Elsevier, vol. 450(C).
    3. Shi, Tianyu & Xiang, Zhengrong, 2024. "Asymptotic tracking control for a class of uncertain nonlinear systems with output constraint," Applied Mathematics and Computation, Elsevier, vol. 478(C).
    4. Wang, Le & Sun, Wei & Su, Shun-Feng, 2022. "Adaptive asymptotic tracking control for nonlinear systems with state constraints and input saturation," Applied Mathematics and Computation, Elsevier, vol. 431(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. Ma, Haoxiang & Xiong, Shixun & Fu, Zhumu & Tao, Fazhan & Ji, Baofeng, 2024. "High-order disturbance observer-based safe tracking control for a class of uncertain MIMO nonlinear systems with time-varying full state constraints," Applied Mathematics and Computation, Elsevier, vol. 466(C).
    2. Chen, Xiang & Li, Shi & Wang, Ronghao & Xiang, Zhengrong, 2023. "Event-Triggered output feedback adaptive control for nonlinear switched interconnected systems with unknown control coefficients," Applied Mathematics and Computation, Elsevier, vol. 445(C).
    3. Wang, Huanqing & Meng, Zhu, 2024. "Fixed-time adaptive neural tracking control for high-order nonlinear switched systems with input saturation and dead-zone," Applied Mathematics and Computation, Elsevier, vol. 480(C).
    4. Truong, Hoai Vu Anh & Phan, Van Du & Tran, Duc Thien & Ahn, Kyoung Kwan, 2024. "A novel observer-based neural-network finite-time output control for high-order uncertain nonlinear systems," Applied Mathematics and Computation, Elsevier, vol. 475(C).
    5. Yang, Qing & Yu, Haisheng & Meng, Xiangxiang & Yu, Wenqian, 2026. "Adaptive fuzzy neural network-based smooth-switching gain dynamic surface control for constrained manipulator with error-based nonlinear disturbance observer," Applied Mathematics and Computation, Elsevier, vol. 512(C).
    6. Zhao, Jia-Yu & Zhao, Tao, 2025. "Improving disturbance rejection and tracking performance of interval type-2 T-S fuzzy systems with time-varying delay," Applied Mathematics and Computation, Elsevier, vol. 489(C).
    7. 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

    Keywords

    ;
    ;
    ;
    ;
    ;
    ;

    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:eee:apmaco:v:514:y:2026:i:c:s0096300325005399. 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: Catherine Liu (email available below). General contact details of provider: https://www.journals.elsevier.com/applied-mathematics-and-computation .

    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.