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前言 拉氏变换在电类各专业中是十分有用的。然而,从多年的教学实践中体会到,这部分内容在高等数学中讲授时,学生们由于感到比较抽象而不予重视,在专业基础课和专业课中要用到拉氏变换时,只作为一种方法介绍给学生。学生们往往知其然而不知其所以然。本文试图结合电路和控制系统的分析较详细的介绍拉氏变换的由来和基本概念。着重于物理意义的论述,避免了一些繁锁的数学推导和论证。本文曾作为“自动控制原理”课程的补充章节在几届学生中讲授过,使学生加深了对拉氏变换物理意义的理解,从而更牢固的掌握拉氏变换法。
Predecessary Laplace transformation is very useful in various electrical professional. However, from many years of teaching practice, students in the higher mathematics have noticed that this part of the content is not as important as it feels to be rather abstract. In the basic and professional courses of the major, the Laplace transformation is used only as a Methods introduced to students. Students often do not know what they are. This article attempts to combine circuit and control system analysis to introduce the origin and basic concepts of Laplace transform in more detail. Emphasis on physical meaning of the argument, to avoid some cumbersome mathematical deduction and argument. This article has been taught in several sessions as an additional chapter to the Principles of Automatic Control to enable students to gain an even deeper understanding of the physical meaning of Laplace transforms and gain a firm grasp of Laplace transformation.