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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

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【作者】 王燕舞刘骁康张悦肖江文

【Author】 WANG Yanwu;LIU Xiaokang;ZHANG Yue;XIAO Jiangwen;School of Artificial Intelligence and Automation, Huazhong University of Science and Technology;

【机构】 华中科技大学人工智能与自动化学院

【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。

【Abstract】 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.

【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)
  • 【文献出处】 电气电子教学学报 ,Journal of Electrical and Electronic Education , 编辑部邮箱 ,2023年03期
  • 【分类号】G642;TP13-4
  • 【下载频次】2
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