"控制系统的复数域数学模型及传递函数解析"

本段落主要介绍了《自动控制原理》（第六版）课件中关于控制系统的复数域数学模型的内容。在这个课件中，主要讲解了控制系统的复数域数学模型和传递函数的定义和性质。传递函数是线性定常系统在零初始条件下，系统输出量的拉氏变换与输入量的拉氏变换之比。通过线性定常系统的 n 阶线性常微分方程，我们可以得到传递函数的定义和性质。通过对线性微分方程中各项分别求拉氏变换，我们可以得到系统传递函数的具体表达式。这些内容对于理解和分析控制系统的复数域数学模型具有重要的意义。 It is important to note that the passage provided detailed explanations and definitions of terms associated with control systems and their mathematical models. The emphasis on transfer functions and their definition and properties underlined the significance of understanding the complex domain mathematical models in control systems. In summary, the information provided in the passage offers a comprehensive understanding of the mathematical models used in control systems. It is clear that a strong emphasis is placed on the transfer function and its properties, aimed at giving students a clear and practical understanding of control systems and their complex domain mathematical models. This foundational knowledge is critical in the study and analysis of control systems and is presented in a clear and concise manner in the course materials.