How do I get my graphs to converge on one ?

Question

Christian Thomas 2021-12-10

0
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此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/1608380-how-do-i-get-my-graphs-to-converge-on-one

回答： dpb 2021-12-10

在 MATLAB Online 中打开

A = [ 1 2 -4; 1 1 4; 0 -1 4];

B = [0 ;0; 10];

C = [ 0 0 1];

D = 0;

poles = [ -0.5-1i -0.5+1i -0.7];

Kt = place(A,B,poles);

F = inv(C*inv(-A+(B*Kt))*B);

Acl=A-(B*Kt);

Bcl=B*F;

Ccl=C;

Dcl=0;

syscl=ss(Acl,Bcl,Ccl,Dcl);

t=0:0.1:20;

r=ones(size(t));

x0= [1 0 0];

[y,t,x]= lsim(syscl,r,t,x0);

figure(1);

plot(t,y(:,1),'r-');

%part B

P_1= -0.5-1i;

P_2 = -0.5+1i;

P_3 = -0.7;

L = place(A', C', [P_1 P_2 P_3])';

At = [A-B*Kt B*Kt ; zeros(size(A)) A-L*C];

Bt = [ B ; zeros(size(B))];

Ct = [ C zeros(size(C)) ];

syst = ss(At,Bt,Ct,0);

x0ob = [ 0 0 0];

[yob,t,xob] = lsim(syst,r,t,[x0 x0ob]);

figure(2);

plot(t,xob(:,1),'r');

hold on

plot(t,xob(:,2),'b');

hold on

plot(t,x(:,1),'--r');

hold on

plot(t,x(:,2),'--b')

So in figure 2 my graphs go up to 150 im trying to get them to go up 1 any suggestion ?

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Answer 1

dpb 2021-12-10

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链接

此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/1608380-how-do-i-get-my-graphs-to-converge-on-one#answer_852650

在 MATLAB Online 中打开

...
[yob,t,xob] = lsim(syst,r,t,[x0 x0ob]);
figure(2);
hold on
plot(t,xob(:,1)/max(xob(:,1)),'r');
plot(t,xob(:,2)/abs(min(xob(:,1))),'b');
...

One hold is on, it can't get any "onner"...once is enough.

If want the others as well, the "trick" should be obviousl

One can get a lot more clever in that min/max(xob) will each return a row vector of the size of the columns so could vectorize the calculations first -- Q? is do you want both sides to be scaled to respective max/min or just the max overall, or what?

You could also do the plotting with vector notation instead of repeated calls, saving the line handles and then decorating the lines later.