基于分数阶FxLMS的浮筏-圆柱壳主动控制研究

程伟鹏; 吴文伟; 乌德木; 尹志勇

doi:10.11993/j.issn.2096-3920.2026-0020

基于分数阶FxLMS的浮筏-圆柱壳主动控制研究

doi: 10.11993/j.issn.2096-3920.2026-0020

1.
中国船舶科学研究中心, 江苏无锡, 214082
2.
深海技术科学太湖实验室, 江苏无锡, 214082

基金项目: 中国船舶科学研究中心项目资助(WDZC70202020301).

详细信息

作者简介:
程伟鹏(2001-), 男, 在读硕士, 主要研究方向为振动噪声主动控制

中图分类号: TJ630; U661.44
计量
- 文章访问数: 8
- HTML全文浏览量: 5
- PDF下载量: 6
- 被引次数: 0
出版历程
- 收稿日期: 2026-01-19
- 修回日期: 2026-03-02
- 录用日期: 2026-03-04
- 网络出版日期: 2026-03-31

Research on Active Control of Raft–Cylindrical Shell Systems Based on Fractional-Order FxLMS

1.
China Ship Scientific Research Center, Jiangsu 214082
2.
Taihu Laboratory of Deepsea Technological Science, Jiangsu 214082

摘要

摘要: 针对水下航行器主辅机等机械设备低频线谱振动难以抑制的问题, 文中提出了基于分数阶梯度下降法的双通道耦合分数阶滤波-x最小均方误差(DFOFxLMS)算法, 仿真对比分析了不同阶数的算法控制效果。搭建了浮筏–圆柱壳结构的主动振动控制试验平台, 对比不同工况的试验表明: 相较于单通道控制策略, 所提出的双通道协同控制方案在浮筏–圆柱壳系统的整体振动抑制方面具有显著优势, 在双频线谱干扰场景下展现出良好的工程实用性与控制效能。
- 水下航行器 /
- 低频线谱振动 /
- 分数阶 /
- 主动振动控制 /
- 分数阶 FxLMS 算法
Abstract: To address the challenge of suppressing low-frequency line-spectrum vibrations in mechanical equipment such as the main and auxiliary machinery of underwater vehicles, this paper proposes a DFOFxLMS(dual-channel fractional-order filtered-x least mean square) algorithm based on the fractional-order gradient descent method. The control performance of algorithms with different fractional orders is analyzed and compared through simulations. An experimental platform for active vibration control based on a floating raft–cylindrical shell structure is established. Comparative experiments under various operating conditions demonstrate that, compared with single-channel control strategies, the proposed dual-channel collaborative control scheme exhibits significant advantages in suppressing the overall vibration of the floating raft–cylindrical shell system. Furthermore, it demonstrates excellent engineering practicality and control effectiveness under dual-frequency line-spectrum disturbance scenarios.
- underwater vehicle /
- low-frequency line spectrum vibration /
- fractional order /
- active vibration /
- fractional order FxLMS algorithm

HTML全文

图 1 FOFxLMS算法框图

Figure 1. Block diagram of the FOFxLMS algorithm

下载: 全尺寸图片幻灯片

图 2 双通道FOFxLMS算法

Figure 2. Dual-channel F0FxLMS algorithm

下载: 全尺寸图片幻灯片

图 3 浮筏-圆柱壳主动控制系统

Figure 3. Active vibration control system of raft-cylindrical shell structure

下载: 全尺寸图片幻灯片

图 4 不同阶数对算法的影响图

Figure 4. Influence diagram of different orders on algorithm

下载: 全尺寸图片幻灯片

图 5 加速度传感器位置图

Figure 5. Location diagram of acceleration sensor

下载: 全尺寸图片幻灯片

图 6 双通道主动控制试验硬件图

Figure 6. Dual-Channel Active Control Experiment Hardware Diagram

下载: 全尺寸图片幻灯片

图 7 单通道误差信号控制前后时频图

Figure 7. Time and frequency diagrams of single-channel error signal before and after control

下载: 全尺寸图片幻灯片

图 8 各位置单通道控制效果

Figure 8. Single-channel control effects at various positions

下载: 全尺寸图片幻灯片

图 9 双通道误差信号控制前后时频图

Figure 9. Time frequency diagram before and after dual channel error signal control

下载: 全尺寸图片幻灯片

图 10 单通道和双通道控制效果对比图

Figure 10. Comparison of single channel and dual channel control effects

下载: 全尺寸图片幻灯片

图 11 双频双通道误差信号控制前后时频图

Figure 11. Time and frequency diagrams of dual-frequency dual-channel error signal before and after control

下载: 全尺寸图片幻灯片

图 12 双频双通道各位置控制效果图

Figure 12. Control effect diagrams of dual-frequency dual-channel at various positions

下载: 全尺寸图片幻灯片

表 1 计算量对比表

Table 1. Comparison table of computational workload

算法 DFOFxLMS DFxLMS

+或− 4M+4L-2 4M+4L-2

×或÷ 4M+8L+4 4M+6L+2

其他(gamma/绝对值/指数) 6 0

下载: 导出CSV

参考文献(17)

[1]	苏常伟, 梁冉, 王雪仁, 等. 水下航行器线谱振动噪声研究进展[J]. 舰船科学技术, 2023, 45(9): 1-8. Su C W, Liang R, Wang X R, et al. Research progress of line spectrum vibration and noise of underwater vehicle[J]. Ship Science and Technology, 2023, 45(9): 1-8.
[2]	唐怀诚, 杨旖旎, 刘烨, 等. 船舶机械减隔振技术与计算方法研究综述[J]. 应用数学和力学, 2023, 44(12): 1413-1427. doi: 10.21656/1000-0887.440062 Tang H C, Yang Y N, Liu Y, et al. A research review of ship mechanical vibration damping and isolation technologies and algorithms[J]. Applied Mathematics and Mechanics, 2023, 44(12): 1413-1427. doi: 10.21656/1000-0887.440062
[3]	王迎春, 马石, 李彦, 等. 主动控制技术在船舶振动噪声控制中的应用[J]. 海军工程大学学报, 2021, 33(4): 56-64+94. doi: 10.7495/j.issn.1009-3486.2021.04.010 Wang Y C, Ma S, Li Y, et al. Application of active control technology on ship vibration and noise[J]. Journal of Naval University of Engineering, 2021, 33(4): 56-64+94. doi: 10.7495/j.issn.1009-3486.2021.04.010
[4]	浦玉学. 自适应振动噪声主动控制若干关键问题研究[D]. 南京: 南京航空航天大学, 2015.
[5]	Snyder S D, Hansen C H. The effect of transfer function estimation errors on the filtered-x LMS algorithm[J]. IEEE Trans Signal Process, 1994, 42(4): 950-953 doi: 10.1109/78.285659
[6]	Ardekani I T, Abdulla W H. Theoretical convergence analysis of FxLMS algorithm[J]. Signal Processing, 2010, 90(12): 3046-3055. doi: 10.1016/j.sigpro.2010.05.009
[7]	Akhtar M T, Mitsuhashi W. Improving performance of FxLMS algorithm for active noise control of impulsive noise[J]. Journal of Sound and Vibration, 2009, 327(3-5): 647-656. doi: 10.1016/j.jsv.2009.07.023
[8]	Huang B, Xiao Y, Sun J, et al. A variable step-size FXLMS algorithm for narrowband active noise control[J]. IEEE transactions on audio, speech, and language processing, 2012, 21(2): 301-312. doi: 10.25144/24801
[9]	高志远, 徐童欣, 苗中华, 等. 压电智能叶片的优化配置与振动主动控制算法[J]. 中国科学(信息科学), 2025, 55(1): 129-139. doi: 10.1360/SSI-2024-0090 Gao Z Y, Xu T X, Miao Z H, et al. Optimal placement and active vibration control algorithm for smart piezoelectric blades[J]. Science in China(Information Sciences), 2025, 55(1): 129-139. doi: 10.1360/SSI-2024-0090
[10]	杨洋, 莫立坡, 左敏, 等. 一类基于分数阶梯度信息的变阶次扩散LMS算法[J]. 中国科学: 信息科学, 2024, 54(8): 1907-1923. doi: 10.1360/SSI-2024-0003 Yang Y, Mo L P, Zuo M, et al. Aclass of diffusion LMS algorithm with variable fractional order gradient[J]. SCIENTIASINICA Informationis, 2024, 54(8): 1907-1923. doi: 10.1360/SSI-2024-0003
[11]	唐定全, 王里达, 张旗, 等. 基于分数阶LMS的AEM系统次级通道辨识[J]. 电子产品世界, 2023, 30(4): 8-13,26. Tang D Q, Wang L D, Zhang Q, et al. Secondary Path Identification in AEM systems based on fractional-order LMS[J]. Electronic engineering & product world, 2023, 30(4): 8-13,26.
[12]	陈森, 万志威, 朱翔, 等. 浮筏隔振系统动力学建模与软件开发[J]. 噪声与振动控制, 2023, 43(4): 14-20. doi: 10.3969/j.issn.1006-1355.2023.04.003 Chen S, Wan Z W, Zhu X, et al. Dynamic modeling and software development of floating raft vibration isolation systems[J]. NOISE AND VIBRATION CONTROL, 2023, 43(4): 14-20. doi: 10.3969/j.issn.1006-1355.2023.04.003
[13]	陈斌, 李嘉全, 邵长星, 等. 浮筏多通道协调振动主动控制实验研究[J]. 实验力学, 2008, 3: 248-254. Chen B, Li J Q, Shao C X, et al. Experimental study of multi channel cooperating active vibration control on floating raft[J]. Journal Of Experimental Mechanics, 2008, 3: 248-254.
[14]	Wang H, Dong Y, Ma X, et al. Distributed diffusion FxLMS algorithm for multi-channel AVC system[J]. Circuits, Systems, and Signal Processing, 2024, 43(12): 8029-8045. doi: 10.1007/s00034-024-02805-z
[15]	张庆伟, 俞翔, 杨理华, 等. 分布式多通道主动隔振控制算法[J]. 船舶工程, 2020, 42(10): 78-83. Zhang Q W, Yu X, Yang L H, et al. Research on distributed multichannel active vibration isolation control algorithm[J]. Ship Engineering, 2020, 42(10): 78-83.
[16]	高伟鹏, 贺国, 刘树勇, 等. 自适应控制系统中矩阵解耦控制算法研究[J]. 噪声与振动控制, 2019, 39(6): 30-35, 88. Gao W P, He G, Liu S Y, et al. Research on matrix decoupling algorithm in adaptive control systems[J]. Noise And Vibration Control, 2019, 39(6): 30-35 , 88.
[17]	段宁远, 范文焜, 宋怡欣, 等. 基于参数尺度变换的多谐波自适应前馈主动控制方法[J]. 振动与冲击, 2024, 43(21): 300-309. doi: 10.13465/j.cnki.jvs.2024.21.034 Duan N Y, Fan W K, Song Y X, et al. Multi-harmonic adaptive feedforward active control method based on parametric scale transformation[J]. Journal of Vibration and Shock, 2024, 43(21): 300-309. doi: 10.13465/j.cnki.jvs.2024.21.034