控制系统的阶跃响应

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1、实验一控制系统的阶跃响应一、实验目的1、观察学习二阶控制系统的单位阶跃响应、脉冲响应。2、记录单位阶跃响应曲线、脉冲响应曲线。3、掌握时间响应分析的一般方法。4、掌握系统阶跃响应曲线与传递函数参数的对应关系。二、实验设备PC机，MATLAB仿真软件。三、实验内容1、作以下二阶系统的单位阶跃响应曲线2、分别改变该系统的和，观察阶跃响应曲线的变化。3、作该系统的脉冲响应曲线。四、实验步骤1、二阶系统为（1）键人程序观察并纪录阶跃响应曲线实验程序为：clc%清除屏幕clear%清除变量closeall%关闭所有窗

2、口num=[10];%系统传函分子系数den=[1210];printsys(num,den);%将系统传函打在屏幕上figure(1)step(num,den);title('num=[10]den=[1210]')实验曲线为：图1阶跃响应曲线（2）健入damp（den）计算系统的闭环根、阻尼比、无阻尼振荡频率，并作记录。记录结果为:EigenvalueDampingFreq.(rad/s)-1.00e+000+3.00e+000i3.16e-0013.16e+000-1.00e+000-3.00e+00

3、0i3.16e-0013.16e+000则闭环根为：x1=-1.00+3.00j；x2=-1.00-3.00j；阻尼比为：=0.316；无阻尼振荡频率：；健入[y，x，t]=step（num，den）%返回变量输出y与时间t（变量x为状态变量矩阵）[y，t']%显示输出向量y与时间向量t（t为自动向量）记录实际测取的峰值大小、Cmax(tp)、峰值时间tp、过渡时间ts并与理论值相比较。记录结果为：ans=000.01470.05520.05620.11040.12050.16560.20340.22090

4、.30060.27610.40780.33130.52080.38650.63580.44170.74920.49690.85800.55210.95960.60741.05160.66261.13260.71781.20130.77301.25700.82821.29950.88341.32890.93861.34580.99391.35091.04911.34541.10431.33061.15951.30771.21471.27851.26991.24421.32521.20651.38041.166

5、81.43561.12641.49081.08671.54601.04861.60121.01301.65640.98081.71170.95261.76690.92861.82210.90921.87730.89451.93250.88431.98770.87852.04290.87692.09820.87892.15340.88422.20860.89232.26380.90272.31900.91472.37420.92802.42940.94192.48470.95612.53990.97012.5

6、9510.98342.65030.99582.70551.00712.76071.01702.81591.02532.87121.03212.92641.03722.98161.04073.03681.04273.09201.04323.14721.04243.20241.04053.25771.03773.31291.03403.36811.02983.42331.02513.47851.02023.53371.01523.58891.01033.64421.00573.69941.00133.75460

7、.99743.80980.99393.86500.99103.92020.98873.97550.98694.03070.98574.08590.98504.14110.98484.19630.98514.25150.98584.30670.98684.36200.98814.41720.98964.47240.99124.52760.99304.58280.99474.63800.99644.69320.99814.74850.99964.80371.00104.85891.00224.91411.003

8、24.96931.00405.02451.00465.07971.00505.13501.00535.19021.00535.24541.00525.30061.00505.35581.00465.41101.00425.46621.00365.52151.00315.57671.00245.63191.00185.68711.00125.74231.00075.79751.00015.85270.99965.9