基于康奈尔笔记法的Nyquist判据教学方法研究

针对“自动控制原理”Nyquist稳定判据教学中存在的应用条件复杂、奈氏图环绕判断抽象等问题,给出一种基于康奈尔笔记法的Nyquist稳定判据教学方法。依据康奈尔笔记法对Nyquist稳定判据的使用条件及准则进行5R归纳,总结为与系统开环频率特性相关的Nyquist曲线起点、终点及奈氏图与(-1,j0)点的影响关系,给出应用旋转矢量代替回环以及正负穿越判定的特定应用准则,突出判据的数学机理分析。实际教学效果验证了所提方法的有效性与可行性。

Research on Teaching Idea of the Nyquist Criterion Based on Cornell Notes

There are some difficulties for counting the number of encircling the point(-1,j0)and complex application conditions of Nyquist plot of the“automation control principle”,hence,a teaching idea and record application method for researching on Nyquist criterion has been proposed based on Cornell notes method.The Nyquist criterion is summarized as 5R,which includes the frequency characteristic of the starting point,terminal point associated with point(-1,j0).The judgment rules of using rotating vector instead of closed loop and positive and negative crossing have been given based on analyzing the mechanism.An application example and actual teaching effect is given to validate the feasibility and effectiveness of the proposed method.