FxLMS algorithm with variable step size and variable leakage factor for active vibration control

2006 ◽  
Author(s):  
Walter A. Gontijo ◽  
Orlando J. Tobias ◽  
Rui Seara ◽  
Eduardo M. O. Lopes
Keyword(s):  
Vibration Control ◽  
Active Vibration Control ◽  
Variable Step Size ◽  
Step Size ◽  
Leakage Factor ◽  
Fxlms Algorithm ◽  
Variable Step ◽  
Active Vibration

scholarly journals New feedforward filtered-x least mean square algorithm with variable step size for active vibration control

2018 ◽  
Vol 38 (1) ◽  
pp. 187-198 ◽  
Author(s):  
Yubin Fang ◽  
Xiaojin Zhu ◽  
Zhiyuan Gao ◽  
Jiaming Hu ◽  
Jian Wu
Keyword(s):  
Vibration Control ◽  
Active Vibration Control ◽  
Lms Algorithm ◽  
Variable Step Size ◽  
Mean Square ◽  
Least Mean Square ◽  
Step Size ◽  
Large Step ◽  
Variable Step ◽  
Active Vibration

The step size of least mean square (LMS) algorithm is significant for its performance. To be specific, small step size can get small excess mean square error but results in slow convergence. However, large step size may cause instability. Many variable step size least mean square (VSSLMS) algorithms have been developed to enhance the control performance. In this paper, a new VSSLMS was proposed based on Kwong’s algorithm to evaluate the robustness. The approximate analysis of dynamic and steady-state performance of this developed VSSLMS algorithm was given. An active vibration control system of piezoelectric cantilever beam was established to verify the performance of the VSSLMS algorithms. By comparing with the current VSSLMS algorithms, the proposed method has better performance in active vibration control applications.

scholarly journals Error Signal Differential Term Feedback Enhanced Variable Step Size FxLMS Algorithm for Piezoelectric Active Vibration Control

2020 ◽  
Vol 2020 ◽  
pp. 1-10
Author(s):  
Weiguang Li ◽  
Wei Wang ◽  
Bin Li ◽  
Zhichun Yang
Keyword(s):  
Steady State ◽  
Convergence Rate ◽  
Active Vibration Control ◽  
Variable Step Size ◽  
Error Signal ◽  
Step Size ◽  
Fxlms Algorithm ◽  
Variable Step ◽  
Active Vibration ◽  
State Error

FxLMS (Filtered-x Least Mean Square) algorithm is widely used in the field of AVC (active vibration control) for its good convergence and strong adaptability. However, the convergence rate and steady-state error are mutually restricted for the fixed step FxLMS algorithm. Increasing step size μ to accelerate the convergence rate will result in larger steady-state error and even cause control divergence. In this paper, a new DVSFxLMS (error signal Differential term feedback Variable Step size FxLMS) algorithm is proposed by establishing nonlinear function between μ and error signal, while using differential term of the error signal as the feedback control function. Subsequently, a DVSFxLMS controller is designed to carry out the AVC simulation and experiments on cantilever beam with PSA (piezoelectric stack actuator). Simulation and experimental results show that the proposed DVSFxLMS algorithm has faster convergence rate and smaller steady-state error than the traditional FxLMS algorithm, which also has strong antinoise ability and adaptive control ability to quickly track the variable external disturbance.

Design and implementation of multichannel adaptive active vibration control with online secondary path modeling using piezoelectric transducers patches

2018 ◽  
Vol 41 (9) ◽  
pp. 2496-2506
Author(s):  
Pu Yuxue ◽  
Meng Zeng ◽  
Zhou Huanlin
Keyword(s):  
Vibration Control ◽  
Random Noise ◽  
Active Vibration Control ◽  
Variable Step Size ◽  
Noise Power ◽  
Path Modeling ◽  
High Convergence Rate ◽  
Fxlms Algorithm ◽  
Active Vibration ◽  
Secondary Path Modeling

Adaptive active vibration control (AAVC) is an effective way for reducing structure vibration at low frequency. AAVC methodology is preferred in AVC system due to its self-adjustment ability to adapt to varying dynamics of the structure. The Filtered-X Least Mean Square (FXLMS) algorithm is widely implemented in active control applications. Accurate secondary path models are very crucial for the implementation in multichannel AAVC system based on FXLMS algorithm. The auxiliary random noise technique is often applied to achieve secondary path modeling (SPM) during online operation. This paper proposes a new multichannel AAVC methodology based on online SPM method. The online SPM error is estimated indirectly to reduce the interaction between the AAVC controller and the online SPM filter. A new variable step-size (VSS) strategy for online SPM filter is proposed based on the estimated online SPM error. A simple but effective auxiliary noise power scheduling (ANPS) method is proposed to eliminate the contribution of the auxiliary noise on the residual vibration. A series of multi-channel AAVC experiments on a cantilever epoxy resin plate with PZT sensors and actuators are presented to demonstrate the performance of the proposed methodology. Experiment results indicate that the proposed method provides very good online SPM accuracy, and the vibration of the smart cantilever plate has been effectively attenuated with high convergence rate.

Active vibration control for GyroWheel based on sliding mode observer and adaptive feedforward compensator

2021 ◽  
pp. 107754632110374
Author(s):  
Shuo Chen ◽  
Xin Huo ◽  
Hui Zhao ◽  
Yu Yao
Keyword(s):  
Vibration Control ◽  
Control Method ◽  
Sliding Mode ◽  
Active Vibration Control ◽  
Sliding Mode Observer ◽  
Variable Step Size ◽  
Step Size ◽  
Rotor Imbalance ◽  
Active Vibration ◽  
Adaptive Feedforward

This article proposes an active vibration control method for the GyroWheel to ensure the attitude stability precision of the spacecraft. The method includes sliding mode disturbance observer and adaptive feedforward compensator. First, considering the disturbance torque caused by rotor imbalance, the dynamic equation adopting complex coefficients is derived with synchronous disturbances. To reduce the influence of model parameter perturbation, a finite time sliding mode observer is designed to estimate the rotor imbalance owing to its robustness. An integrator for the switching term is introduced in the sliding manifold, which attenuates the chattering phenomenon. Then, the observed unbalanced torque is utilized to generate the reference compensation tilting angle, which is fedforward to the command value to offset the synchronous frequency current. A variable step size seeking algorithm is adopted to tune the feedforward compensator gain adaptively. Finally, both numerical simulations and experiments have verified the effectiveness of the active vibration control scheme, achieving clean vibration torque.

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