时滞对典型二阶振荡系统稳定性的影响

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振动与冲击 ›› 2014, Vol. 33 ›› Issue (7) : 160-164.

论文

时滞对典型二阶振荡系统稳定性的影响

张勇，王宁

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Effect of time-delay to stability of typical second-order oscillatory systems

ZHANG Yong, WANG Ning

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文章历史 +

摘要

针对一类典型二阶振荡系统进行了稳定性分析，分别讨论了闭环系统为单位负反馈和单位正反馈时信号传输时滞对控制系统性能的影响。通过绘制和分析相对阻尼系数在不同取值区间的Nyquist曲线，得出了时滞与闭环系统稳定性的关系，并对各种情况进行了单位阶跃响应的实例仿真。仿真结果表明了分析的正确性。

Abstract

The stability analysis for a class of typical second-order oscillatory systems is presented. The effect of signal transmission delay to the performance of closed loop control systems with unit negative feedback and unit positive feedback are analyzed respectively. The relationship between the time-delay and the stability of closed loop control system is obtained via drawing and analyzing Nyquist plots in the different value regions of relative damping coefficient. The simulation examples of unit step response for every situation are processed and the simulation results show that the analysis is correct.

导出引用

张勇;王宁. 时滞对典型二阶振荡系统稳定性的影响[J]. 振动与冲击, 2014, 33(7): 160-164

ZHANG Yong;WANG Ning. Effect of time-delay to stability of typical second-order oscillatory systems[J]. Journal of Vibration and Shock, 2014, 33(7): 160-164