How to plot multiple output responses of transfer functions in the same figure?

How can I plot this state space like the graph I attached by using tf() and step() command? Thank you!

[Ali Deniz]

The attachment is here. Thank you.

Answer 1

[Yusuf Suer Erdem]

Try these codes below please;

clc; clear; close all;

numerator = 1;
denominator = [1,1,3,1];
sys = tf(numerator,denominator);


yyaxis left
plot(step(sys));

yyaxis right
plot(impulse(sys));

[Ali Deniz]

Thank you.

Answer 2

[Anish Mitra]

If the use of yyaxis is not needed, then the stepplot command can be directly used to generate the step response. Beginning in R2024b, the chart object created has a set of properties that can be modified to customize the style.

numerator = 1;
denominator = [1,1,3,1];
sys = tf(numerator,denominator);
figure(1)
sp = stepplot(sys);

Responses can be added by using hold on or the addResponse function.

denominator2 = [1 1 4 1];
sys2 = tf(numerator,denominator2);
hold on;
stepplot(sys2);
legend('sys1', 'sys2')

or

% denominator2 = [1 1 4 1];
% sys2 = tf(numerator,denominator2);
figure(2)
sp = stepplot(sys);
addResponse(sp,sys2);
legend('sys1', 'sys2')

See list of all linear analysis plots.

Customize Linear Analysis Plots at Command Line - MATLAB & Simulink

Answer 3

[Adem]

clc; clear; close all;

numerator = 1;

denominator = [1,1,3,1];

sys = tf(numerator,denominator);

yyaxis left

plot(step(sys));

yyaxis right

plot(impulse(sys));