延时比例线性系统的Fourier级数分析法

Time—delay and Scaled Linear Systems Via Fourier Serives

本文提出了一种用Fourier级数分析延时比例线性系统的简便方法。通过把系统变量的展开,并借助本文提出的Fourier级数的延时分析法和比例分析法,以及Fourier级数正交特性分析法,将延时比例系统转化成一个代数方程并可借助计算机求解。由于Fourier级数是一种完备的正交函数,且具有较快的收敛速度和非常精确的运算矩阵。所以用Fourier级数来分析延时比例线性系统对信号系统的时域分析有一定的实际意义。

The methode of analysis of time—delay and scaled linear systems by Fourier Series is presented. In terms of the expansion, time—delay and scaled analysis and orthogonalty of Fourier Series, the time—delay and scaled. systems can be turned into algebraical equation and solved by computor. Because of the complete onthogonalty of Fourier Series, faster approximation speed and more accurate computing matrix, using Fourier series to analyse time—delay and scaled linear systems has some practical meaning.