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Dynamic event-triggered control design for a class of p-normal nonlinear time-delay systems with actuator failures

Author

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  • Li, Min
  • Guo, Jian
  • Xiang, Zhengrong

Abstract

This paper investigates the adaptive tracking control problem for a class of p-normal nonlinear time-delay systems with actuator failures via a dynamic event-triggered strategy. To deal with the time-varying delay, a modified Lyapunov-Krasovskii functional (LKF) with the system powers is constructed. By using radial basis function neural networks and hyperbolic tangent function, the residual terms caused by the derivative of LKF can be handled. Then, to achieve better communication efficiency, a dynamic event-triggered strategy is proposed, in which the threshold parameter is dynamically adjusted with the change of the virtual control signal. With the help of the proposed adaptive controller, all states of the closed-loop system are bounded and a favorable tracking performance is ensured. Finally, two examples are given to demonstrate the effectiveness of the proposed method.

Suggested Citation

  • Li, Min & Guo, Jian & Xiang, Zhengrong, 2022. "Dynamic event-triggered control design for a class of p-normal nonlinear time-delay systems with actuator failures," Applied Mathematics and Computation, Elsevier, vol. 421(C).
    • Handle: RePEc:eee:apmaco:v:421:y:2022:i:c:s0096300322000285
    DOI: 10.1016/j.amc.2022.126942
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    References listed on IDEAS

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    1. Zhao, Can & Liu, Xinzhi & Zhong, Shouming & Shi, Kaibo & Liao, Daixi & Zhong, Qishui, 2021. "Leader-following consensus of multi-agent systems via novel sampled-data event-triggered control," Applied Mathematics and Computation, Elsevier, vol. 395(C).
    2. Li, Min & Shu, Feng & Liu, Duyu & Zhong, Shouming, 2018. "Robust H∞ control of T-S fuzzy systems with input time-varying delays: A delay partitioning method," Applied Mathematics and Computation, Elsevier, vol. 321(C), pages 209-222.
    3. Zhou, Hanqi & Zhai, Junyong, 2020. "Adaptive output feedback control for a class of nonlinear time-varying delay systems," Applied Mathematics and Computation, Elsevier, vol. 365(C).
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    Cited by:

    1. Gao, Yu & Sun, Wei & Su, Shun-Feng, 2024. "Prescribed-time adaptive output feedback tracking control for nonlinear systems with quantized input," Applied Mathematics and Computation, Elsevier, vol. 463(C).

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