自动控制原理劳斯判据的教学方法研究  

Research on Teaching Method for Routh Criterion of Automatic Control Theory

作　　者：韩圣千[1] 高飞[1] 赵巍[1] 魏少明[1] HAN Shengqian;GAO Fei;ZHAO Wei;WEI Shaoming(School of Electronics and Information Engineering,Beihang University,Beijing 100191,China)

机构地区：[1]北京航空航天大学电子信息工程学院,北京100191

出　　处：《电气电子教学学报》2024年第4期122-127,共6页Journal of Electrical and Electronic Education

基　　金：北京航空航天大学教学改革与研究项目。

摘　　要：劳斯判据是“自动控制原理”的重要教学内容之一。然而,绝大多数教材并没有给出劳斯判据的推导和证明过程,同时在教学过程中往往注重向学生讲解劳斯判据的使用步骤,而缺少对劳斯判据设计理念的讲解。为了提高学生对劳斯判据的理解,基于现有研究工作,对劳斯判据的设计方法、稳定性的判定原理,以及特殊情况的处理方式进行分析,使学生能够更深入理解和更容易掌握劳斯判据。Routh criterion is one of the important course contents of the Automatic Control Theory course.However,most textbooks do not present the derivation and proof of the Routh criterion.Meanwhile,in the teaching process,the focus is often put on instilling the use of the Routh criterion rather than explaining its design principle.In order to improve students' understanding of the Routh criterion,based on existing studies on Routh criterion,this article explains the design principle of the Routh criterion,the mechanism for analyzing the system stability,and the processing methods for singular cases,respectively.The goal is to let students have a deeper understanding and easier grasp of the Routh criterion.

关 键 词：劳斯判据 奈奎斯特稳定判据 稳定性 

分 类 号：U455.6[建筑科学—桥梁与隧道工程]