压电柔性梁振动变步长Fx-LMS控制算法分析与验证
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TB535;TH113

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(国家自然科学基金资助项目(51575328, 61503232)


Analysis and Validation of the Active Vibration Control of Flexible Piezoelectric Beam with Fx-VSSLMS Algorithms
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    摘要:

    滤波x最小均方差(filtered-x least mean square,简称Fx-LMS)算法作为振动控制领域常用的自适应控制算法,其固定步长因子不能同时满足收敛速度和稳态误差的双重要求。为了改善Fx-LMS算法实施效果,提出一种基于反余切函数的滤波x变步长最小均方差(filtered x variable step size least mean square,简称Fx-VSSLMS)算法。首先,归纳了7种常规VSSLMS算法的步长更新公式,并按照其迭代特点予以性能分析与分类对比;其次,以压电柔性悬臂梁振动主动控制为算法验证目标,采用多体动力学软件Adams和Simulink进行联合仿真,表明所提的Fx-VSSLMS算法在振动控制中的有效性;最后,通过分析对比多种Fx-VSSLMS算法在不同噪声环境下的抑振效果,验证了所提出控制算法对噪声干扰的良好鲁棒性。

    Abstract:

    As one of the popular adaptive algorithms in active vibration control (AVC) application, the step size of the Filtered-x least mean square (Fx-LMS) algorithm is significant to the performance. It cannot obtain the best performance both in convergence speed and steady-state error with a same step size. To improve the performance, an improved filtered x variable step size least mean square (Fx-VSSLMS) algorithm based arccot function is then proposed. In this paper, seven typical VSSLMS algorithms are induced and classified. Simulations based Adams and Simulink for the active vibration of the flexible piezoelectric cantilever beam validate the effectiveness of the proposed algorithm. Also, experiments with different noise levels are accomplished. The results show that the proposed VSSLMS algorithm has better robust performance than others.

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  • 在线发布日期: 2020-05-07
  • 出版日期: 2020-04-30
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