传递函数与脉冲传递函数的直接换算方法

Direct Convertion from Transfer Function to Pulse Transfer Function and Its Converse

中文关键词  系统仿真  采样系统  传递函数  脉冲传递函数

英文关键词  system simulation  sampled system  transfer function  pulse transfer function

中文摘要

      在极点互异的条件下，本文导出了传递函数与脉冲传递函数参数换算的解析表达式。对不同的保持器，它们具有统一的数学形式和算法。对于重极点，本文给出一种有效的摄动方法，使其可用互异极点代替。作为应用例子，本文证明了应用Tustin算子的条件。

英文摘要

      Analystic expressions have been developed in this paper, they are the relations of the parameters convertion between transfer function and pulse transfer function, in the case of distinct roots. These expressions are of uniform mathematical form and algorithm different hold unit. When there are repeated roots, an effective perturbation method is presented by which the repeated roots may be replaced by distinct ones. Finally, a proof of the condition for using Tustin Operator method is given as an example of application.