The contradiction of variable step size least mean square(LMS)algorithm between fast convergence speed and small steady-state error has always existed.So,a new algorithm based on the combination of logarithmic and sym...The contradiction of variable step size least mean square(LMS)algorithm between fast convergence speed and small steady-state error has always existed.So,a new algorithm based on the combination of logarithmic and symbolic function and step size factor is proposed.It establishes a new updating method of step factor that is related to step factor and error signal.This work makes an analysis from 3 aspects:theoretical analysis,theoretical verification and specific experiments.The experimental results show that the proposed algorithm is superior to other variable step size algorithms in convergence speed and steady-state error.展开更多
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...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。展开更多
针对多频线谱激励下的结构振动主动控制中的频率失配问题,以并联结构滤波⁃x最小均方(filtered⁃x least mean square,简称FxLMS)算法为基础,提出一种混合自适应振动主动控制方法。前馈通道通过多个带通滤波器将多频线谱激励振动的参考信...针对多频线谱激励下的结构振动主动控制中的频率失配问题,以并联结构滤波⁃x最小均方(filtered⁃x least mean square,简称FxLMS)算法为基础,提出一种混合自适应振动主动控制方法。前馈通道通过多个带通滤波器将多频线谱激励振动的参考信号解耦成为多个单频线谱信号,多个独立自适应滤波器调节权值抑制单一频带上的振动,提升收敛速度;反馈通道提升了算法对于扰动信号频谱发生时变及宽频噪声扰动的鲁棒性。给出该混合自适应振动主动控制算法的稳定性及收敛性分析过程,得到算法稳定与收敛的正实条件。基于Adams与Simulink联合仿真,以及搭建结构微振动主动控制实验系统,验证了混合自适应振动主动控制算法的有效性。实验结果表明,混合自适应振动主动控制算法能够有效抑制多个目标频谱的结构微振动,并在扰动频率失配以及宽频噪声中表现出较好的鲁棒性。展开更多
Filtered-x least mean square(Fx-LMS) algorithm is popular in many adaptive processes. As its contradiction between convergence speed and stead-state error, the improvements of Fx-LMS algorithm with variable step size(...Filtered-x least mean square(Fx-LMS) algorithm is popular in many adaptive processes. As its contradiction between convergence speed and stead-state error, the improvements of Fx-LMS algorithm with variable step size(VSS) have been developed. To strengthen the robustness of variable step size least mean square(VSSLMS) algorithms to noise disturbance in active vibration control(AVC) application, nine VSSLMS algorithms are introduced in detail. Then an improved VSSLMS algorithm is proposed for better performance. At last, the performance of these VSSLMS algorithms are compared in AVC experimental system with different noise level. The experimental results verifies the effectiveness and robustness of the proposed VSSLMS algorithm in AVC application.展开更多
基金the National Natural Science Foundation of China(No.51575328,61503232).
文摘The contradiction of variable step size least mean square(LMS)algorithm between fast convergence speed and small steady-state error has always existed.So,a new algorithm based on the combination of logarithmic and symbolic function and step size factor is proposed.It establishes a new updating method of step factor that is related to step factor and error signal.This work makes an analysis from 3 aspects:theoretical analysis,theoretical verification and specific experiments.The experimental results show that the proposed algorithm is superior to other variable step size algorithms in convergence speed and steady-state error.
文摘滤波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。
文摘针对多频线谱激励下的结构振动主动控制中的频率失配问题,以并联结构滤波⁃x最小均方(filtered⁃x least mean square,简称FxLMS)算法为基础,提出一种混合自适应振动主动控制方法。前馈通道通过多个带通滤波器将多频线谱激励振动的参考信号解耦成为多个单频线谱信号,多个独立自适应滤波器调节权值抑制单一频带上的振动,提升收敛速度;反馈通道提升了算法对于扰动信号频谱发生时变及宽频噪声扰动的鲁棒性。给出该混合自适应振动主动控制算法的稳定性及收敛性分析过程,得到算法稳定与收敛的正实条件。基于Adams与Simulink联合仿真,以及搭建结构微振动主动控制实验系统,验证了混合自适应振动主动控制算法的有效性。实验结果表明,混合自适应振动主动控制算法能够有效抑制多个目标频谱的结构微振动,并在扰动频率失配以及宽频噪声中表现出较好的鲁棒性。
基金Supported by the National Natural Science Foundation of China(No.51575328,61503232)the Shanghai Municipal Education Commission and Shanghai Education Development Foundation(No.15CG44)。
文摘Filtered-x least mean square(Fx-LMS) algorithm is popular in many adaptive processes. As its contradiction between convergence speed and stead-state error, the improvements of Fx-LMS algorithm with variable step size(VSS) have been developed. To strengthen the robustness of variable step size least mean square(VSSLMS) algorithms to noise disturbance in active vibration control(AVC) application, nine VSSLMS algorithms are introduced in detail. Then an improved VSSLMS algorithm is proposed for better performance. At last, the performance of these VSSLMS algorithms are compared in AVC experimental system with different noise level. The experimental results verifies the effectiveness and robustness of the proposed VSSLMS algorithm in AVC application.