离散控制系统不稳定的简洁判据及其应用

Concise Instability Criterion of Discrete Control System and Its Application

给出了离散控制系统闭环脉冲传递函数G(z)的极点不全位于z平面单位圆内的一个非常简洁的判据 ,利用这个判据 ,可以很方便地判断出一类离散控制系统不稳定 .所得结论简洁 ,计算简单 。

One concise criterion is given that not all polar of discrete control system′s plus transform function G(z) are located at one unit circle in z plane. It is very easy to verdict that a class of discrete control system is not stability by using this criterion. The conclusion is concise, and the computation is simple and easy. The criterion is very easy to be used in design and debug of real controller.