时域分析法在系统响应分析中的应用

Application of time domain analysis method in system response analysis

对系统的时间响应分析是揭示系统本身动态特性的有效途径。时域分析法充分运用拉普拉斯变换(下称"拉氏变换")规则,重视发挥数学模型的优势作用,在系统响应分析中具有独特而重要的应用。其基本思路是:运用物理规律,建立反映系统本质的微分方程;通过拉氏变换及待定系数法求出系统输入信号后的响应输出信号的拉氏变换式;利用拉氏反变换,求出系统响应输出信号的实变量函数解析式;再通过应用软件作出系统响应曲线;最后结合曲线进行必要的数学运算和推理,完成对系统有关性能的分析和总结。

The time response analysis of the system is an effective way to reveal the dynamic characteristics of the system itself. The time domain analysis method, which is based on the Laplace transform rule and takes advantage of the mathematical model, has a unique and important application in the system response analysis. The basic ideas in the analysis process are the following： to established the differential equation by the physical laws to reflect the essence of the system; to calculate the Laplace transform of the response output signal after the input signal by the Laplace transform method and the undetermined coefficient method; to calculate the system response functional analysis of the real-time variable-type output signal by using the inverse Laplace transform ; to draw the system response curve by the software application; to do some mathematical calculations and some necessary reasoning by curves; to complete the analysis and summary for the performance of the system.