Abstract The active rejection of harmonic disturbances is of great importance in many industrial applications. For instance, transverse vibrations of steel strips in hot-dip galvanizing lines entail an inhomogeneous zinc coating of the final product. Controlling the vibrations of these steel strips is particularly complicated because their direct measurement at the relevant location is not available. More specifically, the disturbance input, the displacement measurement, the electromagnetic actuator which acts as control input, and the system output to be controlled are all located at different positions along the steel strip. The control scheme proposed in this work minimizes the harmonic steady-state response of the system output to be controlled. In contrast to a state–space approach, the method does not utilize a high-dimensional state observer, and requires only modest computational resources during online operation. Furthermore, negative effects in the closed-loop system due to observation or control spillover are effectively avoided. The developed harmonic disturbance rejection scheme is validated by experiments conducted on a test rig that mimics the conditions from an industrial hot-dip galvanizing line.

中文翻译：

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钢带不可测位置谐波扰动的频率自适应消除

摘要 谐波干扰的主动抑制在许多工业应用中具有重要意义。例如，热浸镀锌生产线中钢带的横向振动会导致最终产品的锌涂层不均匀。控制这些钢带的振动特别复杂，因为无法在相关位置进行直接测量。更具体地说，扰动输入、位移测量、作为控制输入的电磁致动器以及待控制的系统输出都位于沿钢带的不同位置。在这项工作中提出的控制方案最大限度地减少了要控制的系统输出的谐波稳态响应。与状态空间方法相比，该方法不使用高维状态观察器，并且在在线操作期间只需要适度的计算资源。此外，有效避免了由于观察或控制溢出而对闭环系统产生的负面影响。开发的谐波干扰抑制方案通过在模拟工业热浸镀锌线条件的测试台上进行的实验得到验证。