This article presents a method for determining optimal parameters of positive position feedback controllers used for suppressing vibration of flexible structures. The method is based on solving the H∞ synthesis problem with additional constraints on the controller structure. The method allows for independent control of damping added to each mode. Moreover, optimal parameters for both simple input simple output and multiple input multiple output control formulations can be obtained. The effectiveness of the method is shown by comparing the results of both multiple input multiple output and simple input simple output positive position feedback controllers designed by the proposed method, with the simple input simple output positive position feedback controller designed by analytically derived optimal parameters. Moreover, results of controllers designed with the fixed-order transfer function control structure are also presented to emphasize the advantages offered by the positive position feedback control structure.

本文提出一种确定用于抑制柔性结构振动的正位置反馈控制器的最佳参数的方法。该方法基于解决H∞综合问题，并在控制器结构上附加了约束。该方法允许独立控制添加到每个模式的阻尼。此外，可以获得针对简单输入简单输出和多输入多输出控制公式的最优参数。通过将所提出的方法设计的多输入多输出和简单输入简单输出正位置反馈控制器的结果与通过解析得出的最优参数设计的简单输入简单输出正位置反馈控制器的结果进行比较，表明了该方法的有效性。此外，