Research on Active Control Method of Floating Raft and Cylindrical Shell Systems Based on Fractional-Order FxLMS
-
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, 文中提出了一种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(FxLMS)算法。通过仿真对比分析了不同分数阶阶数对控制性能的影响。搭建了浮筏-圆柱壳结构的主动振动控制试验平台, 开展不同工况对比试验。试验结果表明: 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, 能够有效避免局部振动放大现象; 在双频线谱激励下, 该方法仍展现出良好的控制效能与工程实用性。研究可为舰船及水下航行器的低频振动主动控制提供参考与技术支撑。Abstract: To suppress low-frequency line-spectrum vibrations in mechanical equipment such as the main and auxiliary machinery of undersea vehicles, this paper proposed a dual-channel fractional-order filtered-x least mean square(FxLMS) algorithm based on the fractional-order gradient descent method. The control performance of algorithms with different fractional orders was analyzed and compared through simulations. An experimental platform for active vibration control based on a floating raft and cylindrical shell structure was 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 and cylindrical shell system. It can effectively avoid the phenomenon of local vibration amplification. Under dual-frequency line spectrum excitation, this method still demonstrates good control effectiveness and engineering practicability. This study can provide reference and technical support for the active control of low-frequency vibration in ships and undersea vehicles.
-
表 1 算法计算量对比
Table 1. Comparison of computational workload between two algorithms
运算类型 DFOFxLMS DFxLMS 加/减运算 4M+4L−2 4M+4L−2 乘/除运算 4M+8L+4 4M+6L+2 其他运算(伽玛函数/绝对值/指数) 6 0 -
[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: 10.21656/1000-0887.440062Tang 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.1009-3486.2021.04.010Wang 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-2024-0090Gao 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-2024-0003Yang 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.1006-1355.2023.04.003Chen 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. [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. [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 -

下载: