Step and Impulse responce

Hello everyone ;

I m learning control systems in matlab but ı need help you

syms s
>> Gs=(1000)/(s^2+34.5*s+1000);
>> Rs=1/s;
>> Cs=Gs*Rs
 
Cs =
 
1000/(s*(s^2 + (69*s)/2 + 1000))
 
>> Ct=ilaplace(Cs)
 
Ct =
 
1 - exp(-(69*t)/4)*(cos((11239^(1/2)*t)/4) + (69*11239^(1/2)*sin((11239^(1/2)*t)/4))/11239)
 
>> % 1) I WANT PLOT C(t) FOR A UNIT STEP 
>> % 2) AND UNIT IMPULSE RESPONCE OF G(s) 

Answer 1

[Star Strider]

If you want to use the Symbolic Math Toolbox:

syms s
Gs=(1000)/(s^2+34.5*s+1000);
Rs=1/s;
Cs=Gs*Rs
Ct=ilaplace(Cs)

figure
fplot(Ct, [0 0.35])
hold on
plot([0 0.35], [1 1], ':k')
hold off
title('Step Response')

figure
fplot(ilaplace(Gs), [0 0.35])
hold on
% plot([0 0.35], [1 1], ':k')
hold off
title('Impulse Response')

To use the Control System Toolbox functions:

s = tf('s');
Gs=(1000)/(s^2+34.5*s+1000);
Rs=1/s;
Cs=Gs*Rs

figure
step(Gs)

figure
bode(Gs)

.