线性定常系统离散相似法仿真的快速算法

A Fast Algorithm Based on Discrete Analog Method for the Simulation of Linear Time-Invariant Systems

中文关键词  数字仿真  线性定常系统  离散相似法  增广矩阵法

英文关键词  digital simlation  linear time-invariant system  discrete analog method  augmented matrix algorithm

中文摘要

      考虑线性定常系统的数字仿真，状态变量的计算步长为T，而系统输出的计算间隔常常为NT。本文通过以多项式插值函数逼近系统输入，利用增广矩阵法的结果，给出了基于离散相似法的一类仿真算法。当N较大时，与一般同类算法相比，本文算法使计算量显著减小。

英文摘要

      In course of the simulation of a linear time-invariant system, T is the calculating step of the state variables, and the system output is usually calculated at intervals of NT. Using polynomial interpolating function to approximate the system input and introducing the result obtained with augmented matrix algorithm, a fast simulation algorithm based on discrete analog method is presented in this paper. When N is large, the algorithm has much smaller computing amount than other similar algorithm.