fig3_30.m

华东理工大学自动化系《控制系统分析、设计和应用》教材配套程序实例,有关说明： 1. 安装MATLAB软件。安装时

syms y;
figure('pos',[50,50,560,120],'color','w');
axes('pos',[0.05,0.15,0.18,0.75]);
y1=dsolve('D2y-2*Dy+2*y=0','y(0)=1','Dy(0)=0');dy1=diff(y1);
ezplot(y1,dy1);hold on;
y2=dsolve('D2y-2*Dy+2*y=0','y(0)=2','Dy(0)=0');dy2=diff(y2);
ezplot(y2,dy2);
y3=dsolve('D2y-2*Dy+2*y=0','y(0)=3','Dy(0)=0');dy3=diff(y3);
ezplot(y3,dy3);
y1=dsolve('D2y-2*Dy+2*y=0','y(0)=-1','Dy(0)=0');dy1=diff(y1);
ezplot(y1,dy1);
y2=dsolve('D2y-2*Dy+2*y=0','y(0)=-2','Dy(0)=0');dy2=diff(y2);
ezplot(y2,dy2);
y3=dsolve('D2y-2*Dy+2*y=0','y(0)=-3','Dy(0)=0');dy3=diff(y3);
ezplot(y3,dy3);
set(gca,'fonts',8,'fontw','b')
axes('pos',[0.29,0.15,0.18,0.75]);
y1=dsolve('D2y+3*Dy+2*y=0','y(0)=1','Dy(0)=0');dy1=diff(y1);
ezplot(y1,dy1);hold on;
y2=dsolve('D2y+3*Dy+2*y=0','y(0)=2','Dy(0)=0');dy2=diff(y2);
ezplot(y2,dy2);
y3=dsolve('D2y+3*Dy+2*y=0','y(0)=3','Dy(0)=0');dy3=diff(y3);
ezplot(y3,dy3);
y1=dsolve('D2y+3*Dy+2*y=0','y(0)=-1','Dy(0)=0');dy1=diff(y1);
ezplot(y1,dy1);
y2=dsolve('D2y+3*Dy+2*y=0','y(0)=-2','Dy(0)=0');dy2=diff(y2);
ezplot(y2,dy2);
y3=dsolve('D2y+3*Dy+2*y=0','y(0)=-3','Dy(0)=0');dy3=diff(y3);
ezplot(y3,dy3);
set(gca,'fonts',8,'fontw','b')
axes('pos',[0.53,0.15,0.18,0.75]);
y1=dsolve('D2y-3*Dy+2*y=0','y(0)=1','Dy(0)=0');dy1=diff(y1);
ezplot(y1,dy1,[-50 50]);hold on;
y2=dsolve('D2y-3*Dy+2*y=0','y(0)=2','Dy(0)=0');dy2=diff(y2);
ezplot(y2,dy2,[-50 50]);
y3=dsolve('D2y-3*Dy+2*y=0','y(0)=3','Dy(0)=0');dy3=diff(y3);
ezplot(y3,dy3,[-50 50]);
y1=dsolve('D2y-3*Dy+2*y=0','y(0)=-1','Dy(0)=0');dy1=diff(y1);
ezplot(y1,dy1,[-50 50]);hold on;
y2=dsolve('D2y-3*Dy+2*y=0','y(0)=-2','Dy(0)=0');dy2=diff(y2);
ezplot(y2,dy2,[-50 50]);
y3=dsolve('D2y-3*Dy+2*y=0','y(0)=-3','Dy(0)=0');dy3=diff(y3);
ezplot(y3,dy3,[-50 50]);
set(gca,'fonts',8,'fontw','b');axis([-4 4 -4 4])
axes('pos',[0.77,0.15,0.18,0.75]);
y1=dsolve('D2y-Dy-2*y=0','y(0)=1','Dy(0)=0');dy1=diff(y1);
ezplot(y1,dy1,[-50 50]);hold on;
y2=dsolve('D2y-Dy-2*y=0','y(0)=2','Dy(0)=0');dy2=diff(y2);
ezplot(y2,dy2,[-50 50]);
y3=dsolve('D2y-Dy-2*y=0','y(0)=3','Dy(0)=0');dy3=diff(y3);
ezplot(y3,dy3,[-50 50]);
y1=dsolve('D2y-Dy-2*y=0','y(0)=-1','Dy(0)=0');dy1=diff(y1);
ezplot(y1,dy1,[-50 50]);hold on;
y2=dsolve('D2y-Dy-2*y=0','y(0)=-2','Dy(0)=0');dy2=diff(y2);
ezplot(y2,dy2,[-50 50]);
y3=dsolve('D2y-Dy-2*y=0','y(0)=-3','Dy(0)=0');dy3=diff(y3);
ezplot(y3,dy3,[-50 50]);
set(gca,'fonts',8,'fontw','b');axis([-4 4 -4 4])