自适应控制中的Hartley块算法及实验

针对小波包自适应控制子频带内包含大量卷积和相关运算导致算法收敛速度慢的问题，提出基于Hartley块的小波包滤波最小均方算法。将快速Hartley变换引入块算法，实现频域内快速卷积和相关运算；在子频带内应用Hartley块算法生成控制信号，通过重叠保留法提出基于Hartley块的小波包滤波最小均方算法；通过仿真和实验研究了定频和扫频两种工况下的隔振性能和控制效果。结果表明，基于Hartley块的小波包滤波最小均方算法不仅可以大幅缩短收敛时间，还能显著提高控制精度，且鲁棒性和稳定性良好，能够很好地应用在工程实际中。

Hartley block algorithm and experiment in adaptive control

Aiming at the problem that the wavelet packet adaptive control subband contains a large number of convolution and correlation operations, which leads to the slow convergence speed of the algorithm, the WPHB-FxLMS (wavelet packet based on Hartley block filtered-x least mean square ) algorithm was proposed. Fast Hartley transform was introduced into block algorithm to realize fast convolution and correlation operation in frequency domain. Hartley block algorithm was used to generate control signals in the subband, and WPHB-FxLMS algorithm was proposed through the overlapping reservation method. The vibration isolation performance and control effect under fixed frequency and fluctuant frequency working conditions were studied by simulation and experiment. The results show that the WPHB-FxLMS algorithm can not only greatly reduce the convergence time, but also significantly improve the control precision, which has good robustness and stability, and can be applied in engineering practice well.