线性定常系统仿真的改进转移矩阵法

Modified Transition Matrix Methods for the Simulation of Linear Time-invariant Systems

本文将数值积分思想运用到线性定常系统的仿真中,提出了改进转移矩阵法。该法保留了转移矩阵法A-稳定性和快速性的特点,又提高了计算精度。文中还考虑了实时问题并提出了实时改进转移矩阵法。对仿真中最常见的线性定常系统,该法可以完全取代Runge-Kutta法。

In this paper, the numerical integration approach is used for the. simula-tion of linear time-invariant systems and a Modified Transition Matrix Method is proposed. The method not only maintains the A - stability and high computing speed of the Transition Matrix Method, but also improves markedly the computing accuracy. The real-time problem is also taken into consideration and a Real-time Modified Transition Matrix Method is proposed as well. For linear time-invariant systems which are encountered very often in simulation, the proposed methods can replace Runge-Kutta methods entirely.