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Finite-time stabilization for uncertain nonlinear systems with impulsive disturbance via aperiodic intermittent control

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  • You, Luyao
  • Yang, Xueyan
  • Wu, Shuchen
  • Li, Xiaodi

Abstract

This paper ensures finite-time stabilization (FTS) and finite-time contractive stabilization (FTCS) for impulsive systems with time-varying parametric uncertainties by investigating the design of an aperiodic intermittent controller, where uncertain impulsive disturbance is generated at the instants caused by the control action to the plant. Based on the Lyapunov methods, several sufficient conditions are proposed to guarantee the FTS and FTCS. In the framework of finite-time, two relationships between impulsive disturbance, aperiodic control periods, and aperiodic control widths are established to guarantee the FTS and FTCS for the system, respectively. Moreover, such two relationships can potentially increase the freedom of the designed control periods and control widths. Finally, two numerical simulations and a practical application are given to show the validity of the aperiodic intermittent controller.

Suggested Citation

  • You, Luyao & Yang, Xueyan & Wu, Shuchen & Li, Xiaodi, 2023. "Finite-time stabilization for uncertain nonlinear systems with impulsive disturbance via aperiodic intermittent control," Applied Mathematics and Computation, Elsevier, vol. 443(C).
    • Handle: RePEc:eee:apmaco:v:443:y:2023:i:c:s0096300322008505
    DOI: 10.1016/j.amc.2022.127782
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    References listed on IDEAS

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    1. Wang, Qingzhi & He, Yong & Tan, Guanzheng & Wu, Min, 2017. "Observer-based periodically intermittent control for linear systems via piecewise Lyapunov function method," Applied Mathematics and Computation, Elsevier, vol. 293(C), pages 438-447.
    2. Liu, Bin & Yang, Meng & Xu, Bo & Zhang, Guohua, 2021. "Exponential stabilization of continuous-time dynamical systems via time and event triggered aperiodic intermittent control," Applied Mathematics and Computation, Elsevier, vol. 398(C).
    3. Wu, Kai-Ning & Na, Ming-Ye & Wang, Liming & Ding, Xiaohua & Wu, Boying, 2019. "Finite-time stability of impulsive reaction-diffusion systems with and without time delay," Applied Mathematics and Computation, Elsevier, vol. 363(C), pages 1-1.
    4. Shen, Zixiang & Li, Chuandong & Li, Hongfei & Cao, Zhengran, 2019. "Estimation of the domain of attraction for discrete-time linear impulsive control systems with input saturation," Applied Mathematics and Computation, Elsevier, vol. 362(C), pages 1-1.
    5. Joby, Maya & Santra, Srimanta & Anthoni, S. Marshal, 2021. "Finite-time contractive boundedness of extracorporeal blood circulation process," Applied Mathematics and Computation, Elsevier, vol. 388(C).
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    Cited by:

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    2. Beibei Ai & Zhe Jia, 2024. "The Global Existence and Boundedness of Solutions to a Chemotaxis–Haptotaxis Model with Nonlinear Diffusion and Signal Production," Mathematics, MDPI, vol. 12(16), pages 1-11, August.
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    5. Guo, Mengyu & Wang, Peiguang, 2024. "Finite-time stability of non-instantaneous impulsive systems with double state-dependent delays," Applied Mathematics and Computation, Elsevier, vol. 477(C).

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