引用本文:蒋珉, 曹大铸, 徐刚.线性定常系统仿真的改进转移矩阵法[J].控制理论与应用,1989,6(1):76~80.[点击复制]
Jiang Min, Gao Dazhu, Xu Guang.Modified Transition Matrix Methods for the Simulation of Linear Time-invariant Systems[J].Control Theory and Technology,1989,6(1):76~80.[点击复制]
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
摘要点击 1057  全文点击 469  投稿时间：1988-03-21  修订日期：1988-08-15
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DOI编号  
  1989,6(1):76-80
中文关键词  
英文关键词  
基金项目  
作者单位
蒋珉, 曹大铸, 徐刚 东南大学自动化研究所 
中文摘要
      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。
英文摘要
      In this paper, the numerical integration approach is used for the simulation 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.