三阶Butterworth型极点配置方法的改进

Improvement of the Three-order Butterworth Pole Allocation

由于三阶的Butterworth型极点配置方法只能将主导复极点的阻尼比配置为0.5,致使其应用受到一定的限制。针对这一问题,类比原方法极点的分布特点,对该方法进行了改进,将主导复极点的阻尼比配置为0.707,得到了同样简便的计算公式。还可以采用类似的方法将阻尼比配置到[0,1]上任意值,使该方法的运用范围得到更大的扩展,增加了使用的灵活性。实例表明,改进后系统的各项性能指标都有了很大的改善。

To the problem that the damping ratio of dominant plural pole can only be configured at 0.5 by three-order Butterworth pole allocation and then the method is restrainedly in using, the way is improved, and the damping ratio of dominant plural pole is configured at 0.707 on the analogy of the pole distributing trait of original method. An easy caleulational-formula is got to configure the damping ratio of dominant plural pole at random value from 0 to 1 using the similarity way. The practical example shows the performances of the system applying the improved method are better than that of the old way.