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由稳定子系统构成的切换系统经无限次切换可能产生不稳定 ,本文利用李亚谱诺夫函数法 ,给出了确保由微分方程和差分方程描述的切换系统渐近稳定的充分条件 ,在此基础上给出了不受切换条件限制的 ,但能使切换系统渐近稳定的镇定控制器设计方法 ,该方法简单且易实现 ,并以一个例子作了说明 .
The switching system composed of stable subsystems may be unstable after switching an infinite number of times. In this paper, the Lyapunov function method is used to obtain sufficient conditions for ensuring the asymptotic stability of the switching system described by differential equations and differential equations. Based on this, a stabilization controller design method which is not limited by the switching conditions but which can make the switching system asymptotically stable is given. The method is simple and easy to implement and is illustrated by an example.