一类定性控制系统的稳定性分析

Study on Qualitative Stability for a Class of Qualitative Control System

对一类非线性对象提出了定性稳定性的定义 ,并对其闭环自治系统的定性稳定性提出一个充分性判据 ,然后给出一种用变量梯度法构造李亚普诺夫函数的步骤 .最后以一个二阶非线性对象为例 ,给出了一种以全部定性状态作为反馈的定性控制 ,讨论了闭环控制系统的定性稳定性 .

This paper defines qualitative stability for a class of nonlinear plant,and offers a sufficient criterion for qualitative stability of its close loop autonomous system,then the step of constructing the Lyapunov function using variable gradient method is obtained. Finally,for a two order nonlinear plant, a qualitative control which uses all qualitative status as feedback is proposed,and the qualitative stability of close loop control system is discussed.