# How do I get my graphs to converge on one ?

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Christian Thomas on 10 Dec 2021
Answered: VBBV on 11 Dec 2021
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 ?

dpb on 10 Dec 2021
...
[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.

VBBV on 11 Dec 2021
x0ob = [1 0 0];% Use same initial
[yob,t,xob] = lsim(syst,r,t,[x0; x0ob]);
Use the same initial conditions for two different sets as above

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