自动门
自动门:闭环主导极点
发布时间:2014/9/15
自动门讯:
闭环主导极点
    对于稳定的高阶系统而盲,其闭环极点和零点在左半s开平面上虽有各种分布模式.
但就距虚轴的距离来说,却只有远近之别。如果在所有的闭环极点中,距虚轴最近的极点
周围没有闭环零点,而其它闭环极点又远离虚轴,那么距虚轴最近的闭环极点所对应的响
应分量,随时间的推移衰减缓慢,无论从指数还是从系数来看,在系统的时间响应过程中
起主导作用,这样的闭环极点就称为闭环主导极点。闭环主导极点可以是实数极点,也可
以是复数极点,或者足它们的组合。除闭环主导极点外,所有其它闭环极点由于其对应的
响应分量随时间的推移而迅速衰减,对系统的时间响应过程影响甚微,因而统称为非主导
极点。
    在控制工程实践中,通常要求控制系统既具有较高的响应速度,又具有一定的阻尼程
度,此外,还要求减少死区、间隙和库仑摩擦等非线性因素对系统性能的影响,因此高阶系
统的增益常常调整到使系统具有一对闭环共轭主导极点。这时,可以用二阶系统的动态性
能指标来估算高阶系统的动态性能。但是,事实上高阶系统毕竟不是二阶系统,因而在用
二阶系统性能进行估算时,还需要考虑其它非主导闭环零、极点对系统动态性能的影响。
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