IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v509y2026ics0096300325003893.html

Nonlinear adaptive estimator-based prescribed performance control of perturbed quadcopter systems

Author

Listed:
  • Tong, Xingcheng
  • Xiao, Xue
  • Jin, Xiaozheng
  • Wang, Hai

Abstract

This article explores a nonlinear adaptive estimator-based prescribed performance control method to address the position and attitude trajectory tracking challenges of perturbed quadcopter systems. Integrating adaptive techniques and filtering operations, the method develops nonlinear perturbation estimators to ensure the asymptotic estimation of perturbations. Moreover, a prescribed performance control strategy is devised using estimation information to contain position and attitude tracking errors within predefined bounds under the influence of persistent time-varying perturbations. Using Lyapunov stability theory, the finite-time bounded and asymptotic stability of tracking errors of quadcopter position and attitude subsystems are established with prescribed performance. Following that, simulations are performed to verify the efficiency of the proposed control method.

Suggested Citation

  • Tong, Xingcheng & Xiao, Xue & Jin, Xiaozheng & Wang, Hai, 2026. "Nonlinear adaptive estimator-based prescribed performance control of perturbed quadcopter systems," Applied Mathematics and Computation, Elsevier, vol. 509(C).
  • Handle: RePEc:eee:apmaco:v:509:y:2026:i:c:s0096300325003893
    DOI: 10.1016/j.amc.2025.129663
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300325003893
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.amc.2025.129663?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. Zhang, Xuefeng & Chen, Shunan & Zhang, Jin-Xi, 2022. "Adaptive sliding mode consensus control based on neural network for singular fractional order multi-agent systems," Applied Mathematics and Computation, Elsevier, vol. 434(C).
    2. Du, Dongsheng & Cocquempot, Vincent & Jiang, Bin, 2019. "Robust fault estimation observer design for switched systems with unknown input," Applied Mathematics and Computation, Elsevier, vol. 348(C), pages 70-83.
    3. Xin, Li-Ping & Yu, Bo & Zhao, Lin & Yu, Jinpeng, 2020. "Adaptive fuzzy backstepping control for a two continuous stirred tank reactors process based on dynamic surface control approach," Applied Mathematics and Computation, Elsevier, vol. 377(C).
    4. Wu, Ziwen & Zhang, Tianping & Xia, Xiaonan & Hua, Yu, 2022. "Finite-time adaptive neural command filtered control for non-strict feedback uncertain multi-agent systems including prescribed performance and input nonlinearities," Applied Mathematics and Computation, Elsevier, vol. 421(C).
    5. Khodaverdian, Maria & Najafi, Majdeddin & Kazemifar, Omid & Rahmanian, Shahabuddin, 2025. "Fault-tolerant model predictive sliding mode control for trajectory replanning of multi-UAV formation flight," Applied Mathematics and Computation, Elsevier, vol. 487(C).
    6. Wang, Yuanqing & Xu, Ning & Liu, Yajuan & Zhao, Xudong, 2021. "Adaptive fault-tolerant control for switched nonlinear systems based on command filter technique," Applied Mathematics and Computation, Elsevier, vol. 392(C).
    7. Cui, Di & Zou, Wencheng & Guo, Jian & Xiang, Zhengrong, 2022. "Neural network-based adaptive finite-time tracking control of switched nonlinear systems with time-varying delay," Applied Mathematics and Computation, Elsevier, vol. 428(C).
    8. Liu, Wei & Fei, Shiqi & Ma, Qian & Zhao, Huanyu & Xu, Shengyuan, 2022. "Prescribed performance dynamic surface control for nonlinear systems subject to partial and full state constraints," Applied Mathematics and Computation, Elsevier, vol. 431(C).
    9. Khebbache, Hicham & Benmicia, Abderrahim & Labiod, Salim & Bounar, Naamane & Boulkroune, Abdesselem, 2024. "Composite adaptive exponential tracking control for large-scale nonlinear systems with sensor faults," Applied Mathematics and Computation, Elsevier, vol. 475(C).
    10. Wei, Lili & Chen, Mou, 2022. "Distributed DETMs-based internal collision avoidance control for UAV formation with lumped disturbances," Applied Mathematics and Computation, Elsevier, vol. 433(C).
    11. Jin, Xiaozheng & Tong, Xingcheng & Chi, Jing & Wu, Xiaoming & Wang, Hai, 2024. "Nonlinear estimator-based funnel tracking control for a class of perturbed Euler-Lagrange systems," Applied Mathematics and Computation, Elsevier, vol. 471(C).
    12. Yang, Haijiao & Ye, Dan, 2020. "Time-varying formation tracking control for high-order nonlinear multi-agent systems in fixed-time framework," Applied Mathematics and Computation, Elsevier, vol. 377(C).
    13. Mathiyalagan, Kalidass & Sangeetha, G., 2020. "Second-order sliding mode control for nonlinear fractional-order systems," Applied Mathematics and Computation, Elsevier, vol. 383(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. Zhang, Yanqi & Wang, Zhenlei & Wang, Xin, 2023. "Adaptive modified prescribed performance constraint control for uncertain nonlinear discrete-time systems," Applied Mathematics and Computation, Elsevier, vol. 441(C).
    2. Fu, Longbin & An, Liwei, 2026. "Self-triggered control of robotic systems with obstacle avoidance and velocity constraints: A double integral TTCBLF approach," Applied Mathematics and Computation, Elsevier, vol. 511(C).
    3. Zhao, Xiao-Qi & Guo, Shun & Long, Yue & Zhong, Guang-Xin, 2022. "Simultaneous fault detection and control for discrete-time switched systems under relaxed persistent dwell time switching," Applied Mathematics and Computation, Elsevier, vol. 412(C).
    4. Yao, Hejun & Gao, Fangzheng & Huang, Jiacai & Wu, Yuqiang, 2021. "Global prescribed-time stabilization via time-scale transformation for switched nonlinear systems subject to switching rational powers," Applied Mathematics and Computation, Elsevier, vol. 393(C).
    5. 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.
    6. Xiongfeng Deng & Xiyu Zhang, 2022. "Adaptive Fuzzy Tracking Control of Uncertain Nonlinear Multi-Agent Systems with Unknown Control Directions and a Dead-Zone Fault," Mathematics, MDPI, vol. 10(15), pages 1-19, July.
    7. Ruixia Liu & Lei Xing & Hong Deng & Weichao Zhong, 2023. "Finite-Time Adaptive Fuzzy Control for Unmodeled Dynamical Systems with Actuator Faults," Mathematics, MDPI, vol. 11(9), pages 1-22, May.
    8. 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).
    9. Miao, Suoxia & Su, Housheng, 2026. "Consensus of different-order switched multi-agent systems on matrix-weighted networks," Applied Mathematics and Computation, Elsevier, vol. 508(C).
    10. Yasser Falah Hassan & Mahmood Khalid Hadi Zarkani & Mohammed Jasim Alali & Haitham Daealhaq & Hicham Chaoui, 2024. "Guaranteed H∞ Performance of Switched Systems with State Delays: A Novel Low-Conservative Constrained Model Predictive Control Strategy," Mathematics, MDPI, vol. 12(2), pages 1-24, January.
    11. Yi, Jiale, 2023. "Adaptive fuzzy connectivity-preserving consensus protocols for stochastic strict-feedback nonlinear MASs subject to unmeasured periodic disturbances," Applied Mathematics and Computation, Elsevier, vol. 444(C).
    12. Ning, Jinghua & Hua, Changchun, 2022. "H∞ output feedback control for fractional-order T-S fuzzy model with time-delay," Applied Mathematics and Computation, Elsevier, vol. 416(C).
    13. Xu, Ning & Zhao, Xudong & Zong, Guangdeng & Wang, Yuanqing, 2021. "Adaptive control design for uncertain switched nonstrict-feedback nonlinear systems to achieve asymptotic tracking performance," Applied Mathematics and Computation, Elsevier, vol. 408(C).
    14. Xu, Lin-Xing & Wang, Yu-Long & Wang, Fei & Long, Yue, 2023. "Event-triggered active disturbance rejection trajectory tracking control for a quadrotor unmanned aerial vehicle," Applied Mathematics and Computation, Elsevier, vol. 449(C).
    15. Mai The Vu & Seong Han Kim & Duc Hung Pham & Ha Le Nhu Ngoc Thanh & Van Huy Pham & Majid Roohi, 2025. "Adaptive Dynamic Programming-Based Intelligent Finite-Time Flexible SMC for Stabilizing Fractional-Order Four-Wing Chaotic Systems," Mathematics, MDPI, vol. 13(13), pages 1-25, June.
    16. Chen, Zhongyu & Niu, Ben & Zhao, Xudong & Zhang, Liang & Xu, Ning, 2021. "Model-Based adaptive event-Triggered control of nonlinear continuous-Time systems," Applied Mathematics and Computation, Elsevier, vol. 408(C).
    17. Liu, Shanlin & Niu, Ben & Zong, Guangdeng & Zhao, Xudong & Xu, Ning, 2022. "Adaptive fixed-time hierarchical sliding mode control for switched under-actuated systems with dead-zone constraints via event-triggered strategy," Applied Mathematics and Computation, Elsevier, vol. 435(C).
    18. Wu, Jing & Sun, Wei & Su, Shun-Feng & Xia, Jianwei, 2022. "Neural-based adaptive control for nonlinear systems with quantized input and the output constraint," Applied Mathematics and Computation, Elsevier, vol. 413(C).
    19. Xu, Bo & Liang, Yanjun & Li, Yuan-Xin & Hou, Zhongsheng, 2022. "Adaptive command filtered fixed-time control of nonlinear systems with input quantization," Applied Mathematics and Computation, Elsevier, vol. 427(C).
    20. Ma, Zhen-Lei & Li, Xiao-Jian, 2022. "Data-driven fault detection for large-scale network systems: A mixed optimization approach," Applied Mathematics and Computation, Elsevier, vol. 426(C).

    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:509:y:2026:i:c:s0096300325003893. 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.