scholarly journals Research on Frequency-Selective Output Constraint Algorithm for Active Vibration Control

2020 ◽  
Vol 11 (1) ◽  
pp. 201
Author(s):  
Xibin Ma ◽  
Zhangwei Chen
Keyword(s):  
Vibration Control ◽  
Active Vibration Control ◽  
Main Idea ◽  
Least Mean Square ◽  
Output Constraints ◽  
Constraint Control ◽  
Active Vibration ◽  
Frequency Selective ◽  
Amplitude Compensation ◽  
Output Constraint

An algorithm is proposed to implement the frequency-selective output constraint control for active vibration control at target sub-frequencies. The main idea lies in that the Narrowband Filtered-X Least Mean Square (NFXLMS) algorithm is used for the frequency-selective active vibration control, after which a modified rescaling algorithm is applied to simultaneously implement the output constraints at target sub-frequencies. Besides, an amplitude compensation method is employed to accelerate the convergence rate at different frequencies. Eventually, numerical simulations are carried out, in which the results show that the proposed algorithm can be effectively used for frequency-selective output constraint control with much more accuracy and flexibility, less distortion and harmonics.

Simulation and experiments of active vibration control for ultra-long flexible manipulator under impact loads

2018 ◽  
Vol 25 (3) ◽  
pp. 675-684 ◽  
Author(s):  
Yi Huang ◽  
Zhiqiang Liu ◽  
Ronghua Du ◽  
Hongbin Tang
Keyword(s):  
Vibration Control ◽  
Active Vibration Control ◽  
Hydraulic Cylinder ◽  
Numerical Approach ◽  
Flexible Manipulator ◽  
Relational Model ◽  
Impact Loads ◽  
Least Mean Square ◽  
Robotic Control ◽  
Active Vibration

This paper aims to reduce the tip vibration of an ultra-long flexible manipulator subjected to impact loads. A modified least mean square method is proposed to determine the frequency response matrix of control paths and identify the complex amplitude of external excitation responses. The presented work is innovative in the sense that: (1) a theoretical model and a new algorithm are proposed for the identification of explicit convergence conditions of online parameters, and they are used to calculate output variables for the optimized robotic control; (2) an active numerical approach is developed to control the response of the tip vibration of the manipulator. The control algorithm is based on a relational model of control parameters and system outcomes; (3) design of experiments is performed for the verification purpose. The active vibration control has been demonstrated on a pump truck product where the third boom hydraulic cylinder is selected as the actuator for testing, and the manipulator tip is equipped with an acceleration sensor to collect the information of vibration; and (4) the performance of the proposed active vibration control has been validated on the flexible manipulator, and the results have shown that the amplitude of the vibration of robotic tip has been decreased for more than 60%.

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.

Analysis and implementation of MIMO FULMS algorithm for active vibration control

2011 ◽  
Vol 34 (7) ◽  
pp. 815-828 ◽  
Author(s):  
Xiaojin Zhu ◽  
Zhiyuan Gao ◽  
Quanzhen Huang ◽  
Shouwei Gao ◽  
Enyu Jiang
Keyword(s):  
Vibration Control ◽  
Lead Zirconate Titanate ◽  
Vibration Suppression ◽  
Active Vibration Control ◽  
Reference Signal ◽  
Optimal Placement ◽  
Mean Square ◽  
Least Mean Square ◽  
Active Vibration ◽  
Simulation Results

This correspondence focuses on the analysis and implementation of multi-input multi-output (MIMO) filtered-u least mean square (FULMS) algorithm for active vibration suppression of a cantilever smart beam with surface bonded lead zirconate titanate patches. By analysing a single-input single-output FULMS algorithm, the MIMO FULMS controller structure is given. Then an active vibration control experimental platform is established, with optimal placement of the actuators and sensors based on the maximal modal force rule. Simulation contrast analysis of FULMS algorithm and the most famous filtered-x least mean square (FXLMS) algorithm is performed while the reference signal is extracted from the exciter as well as directly from the controlled structure. Simulation results show that if the feedback information reflects the reference signal collected by the reference transducers, the FXLMS controller could hardly suppress the vibration while the FULMS controller is still effective. Then the actual control experiment is performed, and the result confirms the simulation results. The designed MIMO FULMS vibration controller has a good control performance, suppressing the vibration significantly with rapid convergence.

Adaptive active vibration control for piezoelectric smart structure with online hysteresis identification and compensation

2020 ◽  
pp. 107754632098057
Author(s):  
Yuxue Pu ◽  
Cheng Yao ◽  
Xiaobao Li ◽  
Zhaotao Liu
Keyword(s):  
Vibration Control ◽  
Active Vibration Control ◽  
Vibration Reduction ◽  
Smart Structure ◽  
Model Parameters ◽  
Mean Square ◽  
Least Mean Square ◽  
Nonlinear Hysteresis ◽  
Active Vibration ◽  
Least Mean Square Algorithm

Smart structure vibration reduction based on adaptive active vibration control has become a hot research spot in recent years. A filtered-U least mean square algorithm based on an infinite impulse response filter structure is used to solve the interference of controller output to reference signal. The filtered-U least mean square algorithm is very suitable for the nonlinear vibration control of the flexible structure. This study focuses on the analysis and implementation of an adaptive active vibration control system for smart structure with a surface-bonded piezoelectric actuator. The piezoelectric actuator contained in the secondary path has nonlinear hysteresis property. The nonlinear hysteresis property will cause a nonlinear relationship between the structural vibration response and the control voltage, which deteriorates the robustness and control effect of the adaptive control. This study designs an improved version of the filtered-U least mean square algorithm with online hysteresis identification and compensation (filtered-U least mean square–online hysteresis identification and compensation) based on a discrete Prandtl–Ishlinskii model. The Prandtl–Ishlinskii model parameters of the nonlinear hysteresis property are identified online based on the least mean square algorithm. Based on the identified Prandtl–Ishlinskii model parameters, an inverse hysteresis compensator is established for feedforward compensation in the secondary path. Simulation results show that the proposed method can dynamically compensate the hysteresis nonlinearity of the secondary path, linearizing the nonlinear hysteresis. The vibration reduction effect of the proposed method is obviously better than that of other competing methods. A piezoelectric smart cantilever plate with PZT (or lead zirconate titanate, Pb (Zr, Ti)) actuators and sensors is designed to demonstrate the validity and efficiency of the proposed method by experiments. Experiment results demonstrate that the adverse effect of nonlinear hysteresis is eliminated well after feedforward hysteresis compensation is introduced; the unexpected frequency vibration caused by the hysteresis property is suppressed. The proposed methodology possesses an important advantage in application of the adaptive active vibration control of the piezoelectric smart structure.

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

2019 ◽  
Vol 26 (3-4) ◽  
pp. 200-213 ◽  
Author(s):  
Hongbo Zheng ◽  
Hui Qin ◽  
Mingke Ren ◽  
Zhiyi Zhang
Keyword(s):  
Vibration Control ◽  
Adaptive Algorithm ◽  
Active Vibration Control ◽  
Superior Performance ◽  
Time Varying ◽  
Mean Square ◽  
Least Mean Square ◽  
Fxlms Algorithm ◽  
Time Varying Systems ◽  
Active Vibration

This paper proposes a new adaptive algorithm for the active vibration control of time-varying systems in the presence of broadband or narrowband disturbances. The new algorithm combines the conventional filtered-x least mean square algorithm with the recursive prediction error (RPE) algorithm after the gradient modification of the RPE algorithm. The modified RPE algorithm is used to estimate the model of the control path online. The well-known filtered-x least mean square (FxLMS) algorithm is effective for the uncertain or time-varying systems, and adopts an auxiliary white noise approach to estimate the model of the control path online. However, the auxiliary excitation will degrade the control performance to some extent. In the new algorithm, the auxiliary excitation is eliminated at the expense of a larger computational burden. The influence of the estimated finite impulse response series on the convergence is also discussed. A propulsion shafting model with the time-varying dynamics is established by frequency response function synthesis. Numerical simulation for the established model is presented to demonstrate the superior performance of the proposed algorithm as compared with the FxLMS algorithm.

Active Vibration Control of a Rectangular Flexible Wall of an Empty and Fluid-Filled Tank

2004 ◽  
Author(s):  
S. Carra ◽  
M. Amabili ◽  
R. Ohayon ◽  
P. M. Hutin
Keyword(s):  
Vibration Control ◽  
Vibration Amplitude ◽  
Active Vibration Control ◽  
Deformation Energy ◽  
Water Levels ◽  
Structural Vibration ◽  
Control Input ◽  
Least Mean Square ◽  
Modal Shape ◽  
Active Vibration

A rectangular plate bolted to a thick Plexiglas rectangular container is investigated in the case of empty and water-filled tank. A modal analysis is firstly realized in order to verify the effects of different water levels and of the free surface waves on the modal parameters and on the modal shapes. A filtered-x LMS (least mean square) adaptive feedforward algorithm is then applied to the perturbed system realizing structural vibration control in linear field with a SISO approach. Five piezoelectric PZT actuators apply the secondary control input in a nearly-collocated configuration. Their positioning is based on the knowledge on the deformation energy of the plate. The present study investigates primarily the control of the first vibration mode, but second and third modes are also experimentally studied. Satisfactory reductions (up to about 45 dB on the second mode measured on Channel 4) are reached for vibration amplitude of the three modes investigated in absence of water. For each modal shape, a particular effectiveness of the optimally placed actuators clearly appears. The introduction of water in the tank reduces the effectiveness of control of the first mode (maximum 5.5 dB of reduction of the vibration amplitude), but the five control channels show a more global uniform effectiveness.

Multi-frequency micro-vibration control with hybrid adaptive control algorithm

2020 ◽  
Vol 42 (7) ◽  
pp. 1417-1426
Author(s):  
Yubin Fang ◽  
Xiaojin Zhu ◽  
Jiaming Hu ◽  
Zhiyuan Gao ◽  
Hesheng Zhang
Keyword(s):  
Adaptive Control ◽  
Vibration Control ◽  
Active Vibration Control ◽  
Experimental System ◽  
Least Mean Square ◽  
Parallel Form ◽  
Fxlms Algorithm ◽  
Active Vibration ◽  
Hybrid Adaptive Control ◽  
Micro Vibration

As a popular adaptive algorithm for active vibration control (AVC), filtered-x least mean square (FxLMS) algorithm sometimes fails to suppress multiple narrowband disturbance. To control multi-frequency structure vibration, parallel-form FxLMS algorithm can be employed. However, the conventional parallel-form FxLMS does not perform well in the situation of disturbance frequency mismatch and wideband measurement noise. For this issue, the majority of the improvement approaches are based on adaptive frequency estimator. It increased the computational burden of the parallel-form FxLMS algorithm. Therefore, taking the advantage of feedback control, a hybrid adaptive control for AVC is proposed in this paper. And the “posterior” residual error is adopted for better robustness. The convergence analysis of the hybrid AVC algorithm is given. Co-simulations with ADAMS and SIMULINK are implemented to verify the effectiveness in micro-vibration control system. Some comparison experiments are implemented in a micro-vibration AVC experimental system for several typical disturbances. Experimental results confirm the feasibility and effectiveness of the proposed algorithm.

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