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数字系统一种仿真程序—Z变换、修正Z变换、W双线性变换的数字计算机程序及伯特图的计算机绘制

A Simulation Program of Digital Systems(the Digital Computer Program of the Z-Transform,The Modified Z-Transform,the Bilinear W-Transform and ComputerPlotting of the Bode-diagram)

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【摘要】 在工程设计中,为了分析和综合数控系统,常用Z 变换法、修正Z 变换法和双线性W 变换法。在用这些方法时,常常是已知系统开环传递函数G(S)的零、极点分布,要求求出系统的开环脉冲传递函数G(Z)及双线性W 变换传递函数G(w),从而画出伯特图来。为了方便工程设计和减少计算工作量,本文给出了当系统传递函数具有实根、复根和重根时求传递函数G(Z)和G(W)及绘制伯特图的一种通用数字仿真程序。该程序适用于不超过三重根的情况。

【Abstract】 In technical design the z-transform,the modified z-transform and the bilineaw-transform methods are often used for analyzing and synthesizing a digital controlsystem.When these methods are employed,the zero and pole distribution of theopen loop transfer function G(s) must be given and the open loop pulse transfe-function G(z) oz the bilinear w-transfer function G(w) will be obtained.In this paper for the convenience in technical design and the reduction in com(?)putational work a general digital simulation program is given to find the transferfunction G(z) and G(w) and to plot the Bode-diagram of G(jω?),when the tra-nsfer function G(s) of the system has real roots,complex roots and multiple roots.These programs are suitable when the number of multiple roots is not more thanthree.

  • 【文献出处】 哈尔滨工业大学学报 ,Journal of Harbin Institute of Technology , 编辑部邮箱 ,1983年04期
  • 【被引频次】2
  • 【下载频次】185
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