过(-1,j0)点的奈氏判据 --控制原理高阶建设探索  

The Nyquist Stability Criterion When Passing through Point(-1,j0)--Exploration of High-Order Construction of Course Principle of Automatic Control

作　　者：王燕舞[1] 刘骁康 张悦[1] 肖江文[1] WANG Yanwu;LIU Xiaokang;ZHANG Yue;XIAO Jiangwen(School of Artificial Intelligence and Automation,Huazhong University of Science and Technology,Wuhan 430074,China)

机构地区：[1]华中科技大学人工智能与自动化学院,武汉430074

出　　处：《电气电子教学学报》2023年第3期49-55,共7页Journal of Electrical and Electronic Education

基　　金：湖北高校省级教学改革研究项目(2020091);华中科技大学教研项目(2020020)。

摘　　要：响应教育部关于一流本科课程持续建设的高阶性要求,以奈氏曲线穿过(-1,j0)点时的稳定判据为例,对“自动控制原理”高阶性建设开展了探索。结合幅角原理得到了穿过(-1,j0)点时稳定性判断方法及不稳定时右半平面闭环极点个数的判断方法。示例展示了原点处或虚轴上闭环极点为单重根和多重根的情形,验证了所提判断方法的正确性。最后对课程的高阶性建设思路做了总结。In order to respond to the high-order requirements of the Ministry of Education on the continuous construction of first-class undergraduate courses,this paper carries out some explorations on the high-order construction of course Principle of Automatic Control through the Nyquist stability criterion when passing through point(-1,j0).Using the argument principle,a theoretical analysis of Nyquist curve passing through(-1,j0)is carried out,and both the stability judgment method and the judgment method of the number of closed-loop poles on the right half plane when unstable are obtained.Examples show the cases when the closed-loop poles at the origin or on the virtual axis are single root or double roots,and verify the correctness of the proposed method.Finally,this paper summarizes the high-order construction of the course.

关 键 词：自动控制原理 奈氏稳定判据 幅角原理 

分 类 号：G645[文化科学—高等教育学]