ESO-Based Vibration Control for All-Clamped Plate Using an Electrodynamic Inertial Actuator

Abstract

This paper proposes a disturbance rejection method with extended state observer (ESO) and a tracking differentiator (TD) to realize vibration suppression of all-clamped plate structure in the presence of lumped disturbance, i.e. internal dynamic uncertainties, unknown external forces and accelerometer measurement noises. First, the structure is modeled as two degrees of freedom system based on vibration characteristics. Second, an ESO is employed to ensure the vibration suppression performance by estimating the lumped disturbances and compensating these disturbances via real-time feedforward mechanism. Meanwhile, a TD is introduced to eliminate the influence of the measurement noises. Moreover, the stability of the closed-loop system is discussed in detail. Finally, the proposed controller is verified on the hardware-in-loop plat-form based on NI PCIe-6343 data acquisition card. Theoretical analysis and experimental results show that the proposed method possesses good vibration suppression performance.

Reduced-Order Extended State Observer-Based Sliding Mode Control for All-Clamped Plate Using an Inertial Actuator

“…[12], respectively, to reduce the vibration and sound radiation of a flat panel. Phase compensation is adopted to deal with the phase displacement problem caused by inertial actuators [13]. An optimal velocity feedback controller is proposed to use the least kinetic energy and consume the most energy [14].…”

Vibration Control of Disturbed All-Clamped Plate with an Inertial Actuator Based on Cascade Active Disturbance Rejection Control

“…In practical applications, the performance of the control method is affected by the complex dynamics of the inertial actuators, in particular, the phenomena of the phase shift below the first natural frequency of actuators, saturation and hysteresis [8]. Moreover, the control-structure interaction between the inertial actuator and the structure must necessarily be considered because ignoring it will cause the performance of the active control system to not be fully utilized, reduce the control effect or even make the system unstable [9].…”

“…In addition, different from the direct application of ADRC in Ref. [8], this paper improves the control strategy according to the characteristics of structural vibration combined with cascade control in the process of application. The main advantages of the proposed controller are: (a) disturbances from inertial actuators are added to the secondary loop, which is suppressed by the inner loop; (b) the influence of the dynamics of the inertial actuator in the inner loop on the plate is greatly weakened; and (c) the response speed of the whole system is improved.…”