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第三章传递函数传递函数可以说是微分方程的图解。引入传递函数的概念,可以直观、形象地表示出一个系统的结构和系统各变量间的数学关系,並且使运算大为简化。本章里我们介绍传递函数的定义、典型环节以及传递函数的运算。3.1传递函数的定义在第一章里我们曾经用方块图表示系统的工作原理(见图1-3),用方块代表组成系统的元件或环节,用带箭头的线条表示信号的传递。这种图直观而形象,不足之处是没有表示出变量(信号)之间的数学关系。如果用一个方块代表一个元件或一个系统,用指向方块的箭头代表输入量g,用离开方块的箭头代表输出量x,则输出量x与输入量g之间的数学关系,就是写在这个方块内的传递函数。确切地说,传递函数是指输出量的象函
Chapter 3 Transfer Function The transfer function can be said to be a differential equation. By introducing the concept of transfer function, the mathematical relationship between the structure of a system and the variables of the system can be expressed intuitively and vividly, and the operation is greatly simplified. In this chapter, we introduce the definition of transfer function, the typical link and the operation of transfer function. 3.1 Transfer Function Definition In the first chapter, we have used the block diagram to show the working principle of the system (see Figure 1-3). The blocks are used to represent the components or links of the system. The arrows with lines indicate the signal transmission. Intuitive and pictorial, this diagram does not show the mathematical relationship between variables (signals). If a box represents a component or a system, the arrow pointing to the box represents the input g, and the arrow x from the box represents the output x, then the mathematical relationship between the output x and the input g is written in this box Within the transfer function. Specifically, the transfer function is the output of the letter