1、Matlab 和 Simulink 训练题 1在 matlab 下键入 helpsimulink;simulink; help rlocus;helplsim 等命令,学习各种函数的用法。给定下列 6 个系统,(1) 利用 simulink 建立其模型,当输入为 u(t)=2sint;u(t)=sin(t+p/3); u(t)=sin2t; u(t)=sin(2t+p/3); u(t)=sin3t;u(t)=sin(3t+p/3); u(t)=sin10t; u(t)=2sin(10t+p/3)时计算各个模型的输出,在图形中展示。比较对应的输入输出曲线,能发现什么规律?计算 Gi(jw)的值,
2、其中 i=1,6;w 分别等于 1,2,3,10。(2) 利用 rlocus 汇出 6 个传递函数的根轨迹曲线。提示:题目(1)既可由 lsim 完成,也可由 simulink 完成,建议两者都试一下, 比较优劣。答:模型建立t=0:0.01:10;u1=2*sin(t); u2=sin(t+3.1415926/3);u3=sin(2*t); u4=sin(2*t+3.1415926/3);u5=sin(3*t); u6=sin(3*t+3.1415926/3);u7=sin(10*t); u8=2*sin(10*t+3.1415926/3); G1=tf(1,1 1 )G2=tf(1,1 1
3、 1)G3=tf(-1 1,1 2 1)G4=tf(-1 1,1 1 1 )G5=tf(1-21,1331)G6=tf(1-21,1221)得:1. 利用 simulink 建立其模型G1:G2:G3:G4:G5:G6:2. 各个模型的输出,在图形中展示。G1:红色 G2:蓝色G3:绿色G4:黑色 G5:黄色G6:紫色 u1u8 灰色U1:u1=2sin(t) lsim(G1,r,G2,b,G3,g,G4,k,G5,y,G6,m,u1,t) gridLinear Simulation Results321Amplitude0-1-2-3012345678910Time (seconds)U2:
4、 lsim(G1,r,G2,b,G3,g,G4,k,G5,y,G6,m,u2,t) grid1.510.5Amplitude0-0.5-1-1.5Linear Simulation Results012345678910Time (seconds)U3: lsim(G1,r,G2,b,G3,g,G4,k,G5,y,G6,m,u3,t)grid10.80.60.4Amplitude0.20-0.2-0.4-0.6-0.8-1Linear Simulation Results012345678910Time (seconds)U4: lsim(G1,r,G2,b,G3,g,G4,k,G5,y,G6
5、,m,u4,t) grid10.80.60.4Amplitude0.20-0.2-0.4-0.6-0.8-1Linear Simulation Results012345678910Time (seconds)U5: lsim(G1,r,G2,b,G3,g,G4,k,G5,y,G6,m,u5,t) grid10.80.60.4Amplitude0.20-0.2-0.4-0.6-0.8-1Linear Simulation Results012345678910Time (seconds)U6: lsim(G1,r,G2,b,G3,g,G4,k,G5,y,G6,m,u6,t) grid10.80
6、.60.4Amplitude0.20-0.2-0.4-0.6-0.8-1Linear Simulation Results012345678910Time (seconds)3. 比较对应的输入输出曲线,能发现什么规律?4.Gi(jw)的值,其中 i=1,6;w 分别等于 1,2,3,10。G1(j):G1(2j):G1(3j):G1(10j):G2:G2(j):G2(2j):G2(3j):G2(10j)G3(j)G3(2j)G3(3j)G3(10j)G4(j)G4(j)G4(j)G4(j)G5(j)G5(j)G5(j)G5(j)G6(j)G6(j)G6(j)G6(j)5.利用 rlocus
7、汇出 6 个传递函数的根轨迹曲线。G1: rlocus(G1)Root Locus0.2Imaginary Axis (seconds-1)0.10-0.1-0.2-4-3-2-101G2: rlocus(G2,r)Root Locus4Imaginary Axis (seconds-1)20-2G3:-4-1-0.8-0.6-0.4-0.200.20.4Root Locus3Imaginary Axis (seconds-1)210-1-2-3-202468G4:Root Locus2Imaginary Axis (seconds-1)10-1-2-10123456G5:Root Locus1-1Imaginary Axis (seconds )0.50-0.5-1-3-2-1012G6:Root Locus1-1Imaginary Axis (seconds )0.50-0.5-1-3-2-1012
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