脉冲传递函数零点的近似方法  

Approximate Approach to Zeros of Pulse Transfer Functions

作　　者：张晓路[1] 李全民[1] 罗珂[1] 左玉营 

机构地区：[1]山东建筑大学信息与电气工程学院 [2]济南技术学院,山东济南250101

出　　处：《西华大学学报（自然科学版）》2007年第4期55-55,86,共2页Journal of Xihua University:Natural Science Edition

基　　金：山东省教育厅科研项目(No.J01F07)

摘　　要：讨论了在含有零阶保持器的线性系统中,当采样周期很小时,脉冲传递函数的所有有限零点的近似程度。以上讨论依据二个基本原理:一是将脉冲传递函数在h=0处泰勒级数展开取前两项,二是用泰勒级数展开后的脉冲传递函数与精确脉冲传递函数的区别。该方法可用于研究近似脉冲传递函数的精确性。In the paper,a theorem is put forward that,for small sampling periods,the accuracy of all limiting zeros of the pulse transfer function for a system composed of a zero-order hold is followed by a continuous-time plant.The discussion is based on two fundamental lemmas.The first one yields two terms of the Taylor series expansion of the pulse transfer function around h=0 and the second characterizes the magnitude of the difference between the pulse transfer function and the exact pulse transfer function.One of possible applications of the result is employed to investigate the accuracy of approximate pulse-transfer functions.

关 键 词：采样频率 零点 零阶保持器 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]