IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v386y2020ics0096300320304732.html

Event-triggered adaptive asymptotic tracking control of uncertain nonlinear systems with unknown dead-zone constraints

Author

Listed:
  • Wu, Li-Bing
  • Park, Ju H.
  • Xie, Xiang-Peng
  • Liu, Ya-Juan
  • Yang, Zhi-Chun

Abstract

This paper studies the adaptive asymptotic tracking control problem of uncertain nonlinear systems with unknown control directions, dead-zone constraints and event-triggered inputs. By constructing the proper parameter updated laws with a positive continuous integrable function of augmented dimension vectors, unknown upper bound and compound disturbance, an improved adaptive backstepping control scheme is developed to substantially deal with the effect of unknown parameter vectors and dead-zone nonlinearities. Accordingly, an associated event-triggered mechanism including the decreasing function of tracking errors is designed to obtain the desired tracking performance and thus the computation burden of the transmissions procedure can be significantly alleviated. It is further shown that all the closed-loop signals are uniformly bounded and that the asymptotic tracking can be achieved based on Lyapunov function method. Finally, the validity of the presented approach is demonstrated by two simulation examples.

Suggested Citation

  • Wu, Li-Bing & Park, Ju H. & Xie, Xiang-Peng & Liu, Ya-Juan & Yang, Zhi-Chun, 2020. "Event-triggered adaptive asymptotic tracking control of uncertain nonlinear systems with unknown dead-zone constraints," Applied Mathematics and Computation, Elsevier, vol. 386(C).
    • Handle: RePEc:eee:apmaco:v:386:y:2020:i:c:s0096300320304732
    DOI: 10.1016/j.amc.2020.125528
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300320304732
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2020.125528?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. Xi, Changjiang & Zhai, Ding & Li, Xiaojian & Zhang, Qingling, 2017. "Decentralized adaptive delay-dependent neural network control for a class of large-scale interconnected nonlinear systems," Applied Mathematics and Computation, Elsevier, vol. 311(C), pages 148-163.
    2. Wu, Li-Bing & Wang, Heng & He, Xi-Qin & Zhang, Da-Qing, 2018. "Decentralized adaptive fuzzy tracking control for a class of uncertain large-scale systems with actuator nonlinearities," Applied Mathematics and Computation, Elsevier, vol. 332(C), pages 390-405.
    3. Dong, Zeyu & Wang, Xin & Zhang, Xian, 2020. "A nonsingular M-matrix-based global exponential stability analysis of higher-order delayed discrete-time Cohen–Grossberg neural networks," Applied Mathematics and Computation, Elsevier, vol. 385(C).
    4. Hongcheng Zhou & Dezhi Xu & Daobo Wang & Le Ge, 2014. "Adaptive Fault-Tolerant Tracking Control of Nonaffine Nonlinear Systems with Actuator Failure," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-8, October.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Vijayakumar, M. & Sakthivel, R. & Mohammadzadeh, Ardashir & Karthick, S.A. & Marshal Anthoni, S., 2021. "Proportional integral observer based tracking control design for Markov jump systems," Applied Mathematics and Computation, Elsevier, vol. 410(C).
    2. Hu, Yifan & Liu, Wenhui, 2023. "Adaptive fuzzy dynamic surface control for nonstrict-feedback nonlinear state constrained systems with input dead-zone via event-triggered sampling," Applied Mathematics and Computation, Elsevier, vol. 450(C).
    3. Chen, Mengshen & Ding, Derui & Yan, Huaicheng & Liang, Kun, 2025. "Mode-based triggered protocol for synchronization of switched dynamic networks with semi-Markov kernel and its application," Applied Mathematics and Computation, Elsevier, vol. 495(C).
    4. Zhai, Junchang & Wang, Huanqing & Qin, Yuping & Cui, Hongxia, 2025. "Estimation-based event-triggered fixed-time fuzzy tracking control for high-order nonlinear systems," Applied Mathematics and Computation, Elsevier, vol. 486(C).
    5. Song, Xiaona & Zhuo, Ruikang & Song, Shuai & Wang, Ke, 2025. "Singularity-free fixed-time adaptive event-triggered fault-tolerant control for a QUAV with user-defined tracking performance," Applied Mathematics and Computation, Elsevier, vol. 501(C).
    6. 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).
    7. Hu, Yifan & Liu, Wenhui & Liu, Guobao, 2022. "Adaptive finite‐time event‐triggered control for uncertain nonlinearly parameterized systems with unknown control direction and actuator failures," Applied Mathematics and Computation, Elsevier, vol. 435(C).
    8. Yoo, Sung Jin, 2021. "Decentralized event-triggered adaptive control of a class of uncertain interconnected nonlinear systems using local state feedback corrupted by unknown injection data," Applied Mathematics and Computation, Elsevier, vol. 399(C).
    9. Yan, Yan & Wu, Libing & Yan, Weijun & Hu, Yuhan & Zhao, Nannan & Chen, Ming, 2022. "Finite-time event-triggered fault-tolerant control for a family of pure-feedback systems," Applied Mathematics and Computation, Elsevier, vol. 426(C).
    10. Wenqiang Wu & Jiarui Liu & Fangyi Li & Yuanqing Zhang & Zikai Hu, 2023. "Prescribed Settling Time Adaptive Neural Network Consensus Control of Multiagent Systems with Unknown Time-Varying Input Dead-Zone," Mathematics, MDPI, vol. 11(4), pages 1-21, February.
    11. 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).
    12. Ju, Xinxu & Jia, Xianglei & Shi, Xiaocheng & Yu, Shan’en, 2022. "Adaptive output feedback event-triggered tracking control for nonlinear systems with unknown control coefficient," Applied Mathematics and Computation, Elsevier, vol. 432(C).
    13. 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).

    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. Yoo, Sung Jin, 2021. "Decentralized event-triggered adaptive control of a class of uncertain interconnected nonlinear systems using local state feedback corrupted by unknown injection data," Applied Mathematics and Computation, Elsevier, vol. 399(C).
    2. Zheng, Wei & Zhang, Zhiming & Lam, Hak-Keung & Sun, Fuchun & Wen, Shuhuan, 2023. "LMIs-based exponential stabilization for interval delay systems via congruence transformation: Application in chaotic Lorenz system," Chaos, Solitons & Fractals, Elsevier, vol. 176(C).
    3. Hua, Wentao & Wang, Yantao & Liu, Chunyan, 2024. "New method for global exponential synchronization of multi-link memristive neural networks with three kinds of time-varying delays," Applied Mathematics and Computation, Elsevier, vol. 471(C).
    4. Zhang, Xian & Kang, Xiaoxue & Zhao, Zhitao & Wang, Xin, 2026. "Sampled-data global exponential synchronization of multi-delay fuzzy inertial neural networks," Applied Mathematics and Computation, Elsevier, vol. 514(C).
    5. Yan, Xuehua & Song, Xinmin & Wang, Zhonghua & Zhang, Yun, 2017. "Global Output-Feedback Adaptive Stabilization for Planar Nonlinear Systems with Unknown Growth Rate and Output Function," Applied Mathematics and Computation, Elsevier, vol. 314(C), pages 299-309.
    6. Meng, Xianhe & Zhang, Xian & Wang, Yantao, 2023. "Bounded real lemmas and exponential H∞ control for memristor-based neural networks with unbounded time-varying delays," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 210(C), pages 66-81.
    7. 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).
    8. Chen, Yonghui & Zhang, Xian & Xue, Yu, 2022. "Global exponential synchronization of high-order quaternion Hopfield neural networks with unbounded distributed delays and time-varying discrete delays," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 193(C), pages 173-189.
    9. Lü, Shao-Yu & Jin, Xiao-Zheng & Wu, Xiao-Ming & Ding, Li-Jian & Chi, Jing, 2022. "Robust adaptive event-triggered fault-tolerant control for time-varying systems against perturbations and faulty actuators," Applied Mathematics and Computation, Elsevier, vol. 426(C).
    10. Yao, Dajie & Dou, Chunxia & Xie, Xiangpeng & Hu, Songlin, 2022. "Containment control of non-affine multi-agent systems based on given precision," Applied Mathematics and Computation, Elsevier, vol. 412(C).
    11. Zhang, Zhipeng & Wang, Huimin, 2022. "Resilient decentralized adaptive tracking control for nonlinear interconnected systems with unknown control directions against DoS attacks," Applied Mathematics and Computation, Elsevier, vol. 415(C).
    12. Liu, Wenhui & Lu, Junwei & Xu, Shengyuan & Li, Yongmin & Zhang, Zhengqiang, 2019. "Sampled-data controller design and stability analysis for nonlinear systems with input saturation and disturbances," Applied Mathematics and Computation, Elsevier, vol. 360(C), pages 14-27.
    13. Xie, Lifei & Cheng, Jun & Wang, Hailing & Wang, Jiange & Hu, Mengjie & Zhou, Zhidong, 2022. "Memory-based event-triggered asynchronous control for semi-Markov switching systems," Applied Mathematics and Computation, Elsevier, vol. 415(C).
    14. Yang, Liu & Ma, Weijun & Wang, Xin, 2024. "Lagrange stability and passivity in the mean square sense of discrete-time stochastic Markovian switched neural networks with time-varying mixed delays," Applied Mathematics and Computation, Elsevier, vol. 477(C).
    15. Xue, Huanbin & Xu, Xiaohui & Zhang, Jiye & Yang, Xiaopeng, 2019. "Robust stability of impulsive switched neural networks with multiple time delays," Applied Mathematics and Computation, Elsevier, vol. 359(C), pages 456-475.
    16. Zhao, Yanwei & Wang, Huanqing & Xu, Ning & Zong, Guangdeng & Zhao, Xudong, 2023. "Reinforcement learning-based decentralized fault tolerant control for constrained interconnected nonlinear systems," Chaos, Solitons & Fractals, Elsevier, vol. 167(C).
    17. Sri Raja Priyanka, K. & Nagamani, G., 2024. "Non-fragile projective synchronization of delayed discrete-time neural networks via generalized weighted summation inequality," Applied Mathematics and Computation, Elsevier, vol. 479(C).
    18. Xue, Yu & Tu, Kairong & Liu, Chunyan & Zhang, Xian, 2024. "Non-fragile extended dissipative synchronization control for uncertain discrete-time neural networks with leakage and unbounded time-varying delays," Chaos, Solitons & Fractals, Elsevier, vol. 185(C).
    19. Xi, Changjiang & Dong, Jiuxiang, 2019. "Adaptive fuzzy guaranteed performance control for uncertain nonlinear systems with event-triggered input," Applied Mathematics and Computation, Elsevier, vol. 363(C), pages 1-1.
    20. Cui, Lili & Xie, Xiangpeng & Wang, Xiaowei & Luo, Yanhong & Liu, Jingbo, 2019. "Event-triggered single-network ADP method for constrained optimal tracking control of continuous-time non-linear systems," Applied Mathematics and Computation, Elsevier, vol. 352(C), pages 220-234.

    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:386:y:2020:i:c:s0096300320304732. 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.