Time delay estimation equivalent based active disturbance rejection vibration control for all-clamped plate with inertial actuator

¹ College of Electrical, Energy and Power Engineering, Yangzhou University - Yangzhou 225127, China
² Institute of Electrical Engineering, Yangzhou University - Yangzhou 225127, China

Received: 15 June 2025
Accepted: 6 October 2025

Abstract

A Chebyshev linear active disturbance rejection control method is proposed to suppress the structural vibration of an all-clamped plate in this paper. First, an equivalent model of the reduced-order extended state observer is established through time delay estimation, serving as a component of the active disturbance rejection control. The reduced-order extended state observer can be equivalently represented as a series connection of a time delay estimation and a low-pass filter. Second, a Chebyshev Type I low-pass filter is introduced to improve the original low-pass filter. Due to the equivalence, improvements of the low-pass filter will ultimately be reflected in the reduced-order extended state observer, thereby improving the accuracy of the observation. In addition, an online frequency estimation strategy is implemented for periodic disturbances, enabling the parameters of the reduced-order extended state observer to be adjusted dynamically through a bandwidth-adaptive mechanism. Finally, experimental results demonstrate that the proposed method can effectively suppress the structural vibration of the all-clamped plate.