时滞对一类单位负反馈二阶振荡系统的正面作用分析
Analysis on positive effect of time-delay on a class of second-order oscillatory systems with unit negative feedback
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摘要: 针对一类被控对象具有二阶系统标准形式的振荡系统进行了稳定性分析,讨论了闭环系统为单位负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 on a class of oscillatory systems whose controlled object has a standard form of second-order systems is presented. The effect of the signal transmission delay on the performance of the closed loop control system with unit negative feedback is discussed. The relationship between the time-delay and the stability of closed loop control system is obtained via drawing and analyzing the Nyquist plots in the different regions of the relative damping coefficient. The simulation example of unit step response for each case is processed and the simulation results show that the analysis is correct.
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