线性连续系统模型离散化的递推算法

A Recursive Algorithm for Discretizing Linear Continuous Time Model

利用简单的数学工具实现了线性连续时间系统向离散时间系统的转换。算法既避免了矩阵的求逆运算，又可同时获得系统的脉冲传递函数，也可用于离散状态方程的求解。仿真结果表明，所得结果对于连续时间系统的计算机仿真、分析和控制是有效的。

A recursive algorithm for the conversion from time-invariant linear continuous time system to discrete time system was presented by means of simple mathematical knowledge. It avoids the matrix inverse operation. Meanwhile, the solutions of discrete time state equations and the pulse transfer function can also be obtained easily. The algorithm is very useful in the applications of computer on simulation, analysis and control of continuous time system. The simulation results showed the effectiveness of the algorithm.