Active vibration control for the time-varying systems with a new adaptive algorithm

This paper proposes a new adaptive feedforward control method for the rejection of multiple periodic disturbances in the propulsion shafting system. The active vibration control scheme of the propulsion shafting system is established by employing the equivalent-input-disturbance principle which reduces the complexity of the control system in applications. The adaptive control algorithm is designed by taking the scale transformation procedure and the frequency-tracking technique into consideration. The scale transformation normalizes the iso-surface of the optimization function by the frequency response characteristics of the control channel, which immensely improves the convergence rate of the control algorithm for multi-harmonic disturbance. Moreover, the adaptive controller tracks the fluctuating frequencies in a direct method, enhancing the efficiency and robustness of the algorithm for eliminating time-varying disturbances. Finally, numerical simulation and experimental validation are carried out to show that the proposed method has good performance on the application of the active vibration control of the propulsion shafting system.

Section: Introductionmentioning

confidence: 99%

An adaptive feedforward method in active vibration control for the propulsion shafting system

Duan,

Ni,

Zhang

et al. 2023

“…One of the challenges is how to design a perfect actuator (Guo et al, 2021) that can withstand large static load and generate high-precision, small-amplitude dynamic forces. The other is how to develop a suitable active control algorithm (Zheng et al, 2020) that can consider the strong coupling effect in structure. The main purpose of this article is how to overcome these challenges to put forward an active control scheme for the heavy platform-struts structure.…”

Section: Introductionmentioning

confidence: 99%

Active vibration control of heavy platform-struts structure

Yang

Liu³

et al. 2022

To tackle the active control problem of the heavy platform-struts structure, this paper designs a kind of hydraulic servo actuator that can withstand large static load and generate high-precision, small-amplitude dynamic forces as well, and develops a multi-channel cross-coupling suppression control algorithm that can consider the strong coupling effect in structure. Subsequently, combining the designed actuators with the control algorithm, this paper puts forward an active heavy platform-struts structure vibration control method. By embedding the designed actuators into the support struts, a platform-struts structure experimental system is constructed to assess the vibration suppression effect of the proposed method. Excited by the amplitude-varying disturbing force, four different kinds of experiments are conducted. The experimental results show that the distributed multi-channel adaptive active control method without considering the coupling effect will lead to the instability, and the vibration attenuation of the proposed method in this paper exceeds 90%. The proposed method therefore has an important potential in addressing the problem of vibration suppression in the practical engineering. In addition, it has strong convergence and robustness.

“…In contrast, active vibration isolation is good at suppressing low-frequency tonal vibrations. The associated control algorithms are mainly divided into two categories: broadband algorithms (Landau et al, 2005; Wang et al, 2016; Xie et al, 2017; Zheng et al, 2020) and narrow-band algorithms (Kamaldar and Hoagg, 2018; Pigg and Bodson, 2009; Xie et al, 2020). The former tend to reduce all tones in the entire control band while the latter only suppress tones at specified frequencies.…”

Section: Introductionmentioning

confidence: 99%

Subband reinforced adaptive feedback control algorithm in mechanical vibration control

Ren

Xie

Zhang

2022

Self Cite

In mechanical vibration control, the conventional least mean square (LMS)-based adaptive feedback control algorithm can hardly lead to a satisfying suppression of tonal vibrations when the disturbance is composed of multiple harmonics. The convergence rate of the conventional LMS-based adaptive feedback algorithm is analyzed, and it is revealed that the convergence rate is significantly affected by the magnitude product of the control channel and the disturbance. The smaller the magnitude product, the slower the convergence speed. Based on this analysis, a subband reinforced adaptive feedback control algorithm is proposed to increase the convergence rate in the frequency band of weak controllability. In this algorithm, the components of slow convergence rate are first extracted from the error signal with subband filters and then controlled independently to achieve fast attenuation. The role of these subband filters is to increase the magnitude product of associated components. Numerical and experimental results have shown that the reinforced adaptive control algorithm is effective and the tonal components, including those of weak controllability, are suppressed almost in the whole frequency range. The proposed algorithm can achieve better vibration attenuation than the conventional LMS-based adaptive feedback algorithm when the disturbance contains multiple harmonics.