Regular Papers

International Journal of Control, Automation, and Systems 2023; 21(8): 2541-2553

https://doi.org/10.1007/s12555-022-0344-9

© The International Journal of Control, Automation, and Systems

Fixed-time Adaptive Event-triggered Control for a Class of Uncertain Nonlinear Systems with Input Hysteresis

Jianhui Wang, Chen Wang, Yushen Wu, Yonghua Li, Yongping Du, and Kairui Chen*

Qiannan Normal University for Nationalities

Abstract

The problem of fixed-time adaptive event-triggered control for uncertain nonlinear systems with input hysteresis is investigated. An adaptive dynamic threshold event-triggered control scheme is proposed to schedule the update of control signals and realize the online compensation of input hysteresis. Furthermore, a fixed-time adaptive event-triggered controller is proposed based on the fixed-time stability theorem. The controller can ensure that the tracking error converges into a small and adjustable set in a fixed time, and the convergence time is independent of the initial system states. Meanwhile, all the closed-loop signals are bounded, and the Zeno behavior is excluded. Finally, the feasibility of the method is verified by some simulation examples.

Keywords Adaptive control, backstepping algorithm, event-triggered control, fixed-time control, input hysteresis.

Article

Regular Papers

International Journal of Control, Automation, and Systems 2023; 21(8): 2541-2553

Published online August 1, 2023 https://doi.org/10.1007/s12555-022-0344-9

Copyright © The International Journal of Control, Automation, and Systems.

Fixed-time Adaptive Event-triggered Control for a Class of Uncertain Nonlinear Systems with Input Hysteresis

Jianhui Wang, Chen Wang, Yushen Wu, Yonghua Li, Yongping Du, and Kairui Chen*

Qiannan Normal University for Nationalities

Abstract

The problem of fixed-time adaptive event-triggered control for uncertain nonlinear systems with input hysteresis is investigated. An adaptive dynamic threshold event-triggered control scheme is proposed to schedule the update of control signals and realize the online compensation of input hysteresis. Furthermore, a fixed-time adaptive event-triggered controller is proposed based on the fixed-time stability theorem. The controller can ensure that the tracking error converges into a small and adjustable set in a fixed time, and the convergence time is independent of the initial system states. Meanwhile, all the closed-loop signals are bounded, and the Zeno behavior is excluded. Finally, the feasibility of the method is verified by some simulation examples.

Keywords: Adaptive control, backstepping algorithm, event-triggered control, fixed-time control, input hysteresis.

IJCAS
March 2025

Vol. 23, No. 3, pp. 683~972

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