IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v500y2025ics0096300325001432.html
   My bibliography  Save this article

Maneuvering control of stochastic nonlinear systems with unknown covariance noise

Author

Listed:
  • Zhang, Ce
  • Feng, Likang
  • Wu, Zhaojing

Abstract

The maneuvering problem for nonlinear systems under stochastic disturbances is investigated in this paper. Firstly, the maneuvering control objectives in their stochastic version are described in the sense of moment with tunable design parameters. Then, quartic Lyapunov functions of stabilizing errors are adopted to deal with the unknown covariance noise. Based on the adaptive law and the filter-gradient update law, an adaptive maneuvering controller is designed by the backstepping technique, which makes the closed-loop system is exponentially practically stable in mean square. Furthermore, both the path tracking error and the velocity assignment error converge to neighborhoods of zero, and the radius of these neighborhoods can be adjusted arbitrarily small by tuning independent parameters. Finally, to demonstrate the controller's effectiveness in handling unknown covariance and ensuring the practical stability of the closed-loop system, simulations of the mobile robot system in stochastic environments are conducted with various design parameters and covariance settings.

Suggested Citation

  • Zhang, Ce & Feng, Likang & Wu, Zhaojing, 2025. "Maneuvering control of stochastic nonlinear systems with unknown covariance noise," Applied Mathematics and Computation, Elsevier, vol. 500(C).
    • Handle: RePEc:eee:apmaco:v:500:y:2025:i:c:s0096300325001432
    DOI: 10.1016/j.amc.2025.129416
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300325001432
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2025.129416?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 search for a different version of it.

    References listed on IDEAS

    as
    1. Cao, Wenping & Zhu, Quanxin, 2022. "Stability of stochastic nonlinear delay systems with delayed impulses," Applied Mathematics and Computation, Elsevier, vol. 421(C).
    2. Liu, Yanli & Hao, Li-Ying, 2024. "Adaptive tracking control for constrained nonlinear nonstrict-feedback switched stochastic systems with unknown control directions," Applied Mathematics and Computation, Elsevier, vol. 473(C).
    3. Li-Juan Cai & Xiao-Heng Chang, 2023. "Reduced-order filtering for discrete-time singular systems under fading channels," International Journal of Systems Science, Taylor & Francis Journals, vol. 54(1), pages 99-112, January.
    4. Min, Huifang & Xu, Shengyuan & Yu, Xin & Fei, Shumin & Cui, Guozeng, 2020. "Adaptive Tracking Control for Stochastic Nonlinear Systems with Full-State Constraints and Unknown Covariance Noise," Applied Mathematics and Computation, Elsevier, vol. 385(C).
    5. Zhang, Huasheng & Dai, Yuzhen & Zhu, Chenglong, 2024. "Region stability analysis and precise tracking control of linear stochastic systems," Applied Mathematics and Computation, Elsevier, vol. 465(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. Mingli Xia & Linna Liu & Jianyin Fang & Yicheng Zhang, 2023. "Stability Analysis for a Class of Stochastic Differential Equations with Impulses," Mathematics, MDPI, vol. 11(6), pages 1-10, March.
    2. Dhayal, Rajesh & Zhu, Quanxin, 2023. "Stability and controllability results of ψ-Hilfer fractional integro-differential systems under the influence of impulses," Chaos, Solitons & Fractals, Elsevier, vol. 168(C).
    3. Hou, Yingxue & Liu, Yan-Jun & Tong, Shaocheng, 2025. "Event-triggered fault-compensation-based fuzzy finite-time FTC for MIMO switched nonlinear systems," Applied Mathematics and Computation, Elsevier, vol. 496(C).
    4. Chang, Xiao-Heng & Wang, Xiao-Yan & Hou, Li-Wei, 2024. "New LMI approach to H∞ control of discrete-time singular systems," Applied Mathematics and Computation, Elsevier, vol. 474(C).
    5. Faisal Altaf & Ching-Lung Chang & Naveed Ishtiaq Chaudhary & Muhammad Asif Zahoor Raja & Khalid Mehmood Cheema & Chi-Min Shu & Ahmad H. Milyani, 2022. "Adaptive Evolutionary Computation for Nonlinear Hammerstein Control Autoregressive Systems with Key Term Separation Principle," Mathematics, MDPI, vol. 10(6), pages 1-20, March.
    6. Yuan, Manman & Zhai, Junyong & Ye, Hui, 2022. "Adaptive output feedback control for a class of switched stochastic nonlinear systems via an event-triggered strategy," Applied Mathematics and Computation, Elsevier, vol. 422(C).
    7. Liu, Yiqun & Zhuang, Guangming & Zhao, Junsheng & Lu, Junwei & Wang, Zekun, 2023. "H∞.. admissibilization for time-varying delayed nonlinear singular impulsive jump systems based on memory state-feedback control," Applied Mathematics and Computation, Elsevier, vol. 447(C).
    8. 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).
    9. Li, Huijuan & Li, Wuquan & Gu, Jianzhong, 2022. "Decentralized stabilization of large-scale stochastic nonlinear systems with time-varying powers," Applied Mathematics and Computation, Elsevier, vol. 418(C).
    10. Chen, Yonggang & Zhao, Yaxue & Gu, Zhou & Yang, Xinfen, 2025. "Anti-windup design for networked time-delay systems subject to saturating actuators under round-robin protocol," Applied Mathematics and Computation, Elsevier, vol. 499(C).
    11. Shuxia Jing & Chengming Lu & Zhimin Li, 2024. "Dissipative Fuzzy Filtering for Nonlinear Networked Systems with Dynamic Quantization and Data Packet Dropouts," Mathematics, MDPI, vol. 12(2), pages 1-17, January.
    12. Yao, Yangang & Tan, Jieqing & Wu, Jian & Zhang, Xu & He, Lei, 2022. "Prescribed tracking error fixed-time control of stochastic nonlinear systems," Chaos, Solitons & Fractals, Elsevier, vol. 160(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:eee:apmaco:v:500:y:2025:i:c:s0096300325001432. 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.