线性定常系统仿真的广义增广矩阵法

A Generalized Augmented Matrix Algorithm for the Simulation of Linear Time-Invariant System

对于线性定常系统的数字仿真,增广矩阵法是一种高精度快速算法。本文给出了增广矩阵法的改进算法,由此建立了基于增广矩阵法的一般仿真模型。文中针对输入函数的不同情况给出了几种仿真计算模型。容易推证,原有的增广矩阵法乃是以本文算法给出的仿真计算模型之一的一种特例。

For the simulation of linear time-invariant system, the augmented matrix algorithm is of high accu-racy and speed. In this paper, a modified augmented matrix algorithm is put forward and a general model of the digital simulation based on the augmented matrix algorithm is presented. Several numerical formulas are given in this paper. In fact, the original augmented matrix augorithm is a special example of the algorithm in this paper.