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数字控制系统时域分析的若干问题

SOME ISSUES ON TIME DOMAIN ANALYSIS OF DIGITAL CONTROL SYSTEMS

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【作者】 贺允东

【Author】 He Yundong

【机构】 北方交通大学

【摘要】 本文分两部分,第一部分讨论振荡二阶数字控制系统Z传递函数一阶零点对阶跃响应超调量PO的影响,指出零点是负实数时,PO主要决定于Z传递函数的极点,而当零点是正实数时,PO随零点值而增加。当零点等于1时,PO趋近于无穷大。第二部分导出了振荡二阶数字控制系统阶跃响应上升时间t_r的计算公式,给出极点和零点,就可以由它求出t_r。

【Abstract】 This paper consists of two parts, one of which discusses the influence of first order zero of z transfer function of oscillating second order digital control systems on the per-centage overshoot PO of a step response, pointing out that PO is mainly determined by the poles of the z transfer function, when the zero is a negative real number, and that PO increases with increasing value of the zero, when the latter is a positive real number。Also, PO aproaches infinite, when the value of zero is equal to one. The second part derives a formula for computing the rise time of the step response of an oscillating second order digital control system, when the poles and zeroes are given.

  • 【文献出处】 铁道学报 ,Journal of The China Railway Society , 编辑部邮箱 ,1985年04期
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