Multi-line spectrum feedback control algorithm for active vibration isolation
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摘要:
目的 针对振动控制中多频激励的传统自适应滤波算法控制效果不佳，以及工程中传感器不易安装和通道耦合等原因导致参考信号失配的问题，提出一种反馈式多线谱控制算法。 方法 首先，使误差信号通过级联自适应陷波器，并根据自适应算法更新陷波器参数来估计多个信号频率；然后，合成各参考信号，对相位进行补偿，通过Hilbert变换得到另一路参考信号； 最后，进入并行控制器完成幅值更新，实现振动控制。 结果 仿真和试验结果表明，该算法能够精确估计频率信息，合成可靠参考信号，对30，37，60和110 Hz线谱均取得了20~40 dB能量衰减。 结论 该算法较好地解决了振动控制中参考信号失配和多线谱振动的问题，有效减弱和抑制了低频振动能量传递。 Abstract:Objectives Aiming at the poor control effect of the traditional adaptive filtering algorithm for multi-frequency excitation in vibration control, and the engineering problems of difficult sensor installation and channel coupling that cause reference signal mismatch, this paper proposes a feedback multi-line spectrum control algorithm. Methods First, the error signal is passed through the cascaded adaptive notch filter, and the notch filter parameters are updated according to the adaptive algorithm to estimate multiple signal frequencies. Next, each reference signal is synthesized and phase compensation performed, then another reference signal is obtained through Hilbert transform and the parallel controller is finally entered to complete the amplitude update and realize vibration control. Results Through simulation and experimental verification, the results show that the proposed algorithm can accurately estimate frequency information, synthesize reliable reference signals and achieve 20–40 dB energy attenuation for 30, 37, 60 and 110 Hz line spectrums. Conclusions This algorithm provides a better solution to the problems of reference signal mismatch and multi-line spectrum vibration in vibration control, and effectively reduces and suppresses low-frequency vibration energy transmission. -
图 3 反馈式多线谱控制算法框图
Figure 3. Block diagram of feedback multi-line spectrum control algorithm
图 4 初级通道和次级通道传递函数幅值图
Figure 4. Amplitude diagram of transfer function of the primary and secondary channels
图 6 反馈式多线谱控制算法仿真结果
Figure 6. Simulation results of feedback multi-line spectrum control algorithm
图 8 原始信号与合成信号相位补偿前/后时历曲线
Figure 8. Time history of original signal and synthetic signal before and after phase compensation
图 9 本文算法与FXLMS算法输出信号图
Figure 9. Output signal diagram of the algorithm in this paper and the FXLMS algorithm
图 10 主动隔振试验现场图及示意图
Figure 10. Test site diagram and schematic diagram of active vibration isolation experiment
表 1 仿真中两种算法振动衰减
Table 1. Vibration attenuation of two algorithms in simulation
振动线谱/Hz FXLMS算法衰减值/dB 反馈算法衰减值/dB 控制前 控制后 控制前 控制后 30 −6.34 −13.51 −6.34 −29.79 37 −6.12 −18.07 −6.12 −36.64 60 −22.5 −22.5 −22.5 −45.37 110 −27.97 −36.78 −27.97 −66.05 
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表 2 试验中两种算法振动衰减的比较
Table 2. Comparison of vibration attenuation by two algorithms in experiment
振动线谱/Hz FXLMS算法衰减值/dB 反馈算法衰减值/dB 控制前 控制后 控制前 控制后 30 −35.1 −46.38 −35.1 −55.01 37 −36.46 −41.49 −36.46 −62.39 60 −38.88 −44.21 −38.88 −59.16 110 −37.51 −67.43 −39.48 −70.87
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