摘要
本文提出了在一类典型函数输入激励下,线性定常系统的快速仿真算法以及一种求取系统解析解的算法。快速仿真算法具有高精度、高数值稳定性的特点,可在其他算法无法收敛的步长下进行仿真;并对线性系统“自治化”的状态增广方法及对高阶微分方程描述系统的初值变换算法。系统解析解算法可处理含有复特征根的情形。本文提出的各种算法均在CAAD成果中实现,使用极为方便。
In this paper, a rapid simulating method for the linear continuous system inputted with the first class typical function is proposed and discussed. High accurity and value-stability are advanteges of this method. And it can be used to simulate the system in which Other methods used are not convergent in some sample period length. In addition, an analytic algorithm is presented to acquire the anwser for the inear system and the systems containing compound characteristic roots. The state prolificative method for the 'auonomy' of linear system and the initial value transferring method for the system described by high-order differential equations are also provided in the paper.
出处
《自动化学报》
EI
CSCD
北大核心
1992年第6期694-702,共9页
Acta Automatica Sinica
关键词
线性连续系统
仿真
解析
算法
State prolification
eAt high value-stability algorithm
Vandermonde matrix transferring
analytic algorithm.
