how to apply single controller to multiple systems

how to apply single controller to multiple systems and see the response in same plot? share the matlab command.

Answer 1

[Sam Chak]

Hi @K Kalanithi

Here is a relatively simple script demonstrating an example of how to plot all responses of multiple systems that share the same controller in a single plot, without using a for-loop iterative technique.

% Multiple plants
Gp1  = tf(2, [1 0 0]);
Gp2  = tf(3, [1 0 0]);
Gp3  = tf(4, [1 0 0]);

% A single controller
Gc   = pid(0, 0, 2.3102, 0.178);

% Multiple closed-loop systems
Gcl1 = feedback(series(Gc, Gp1), 1);
Gcl2 = feedback(series(Gc, Gp2), 1);
Gcl3 = feedback(series(Gc, Gp3), 1);

% Generating the responses
t    = linspace(0, 5, 501);
y1   = step(Gcl1, t);
y2   = step(Gcl2, t);
y3   = step(Gcl3, t);

% Plotting all responses in a single plot
plot(t, [y1, y2, y3]), grid on
xlabel('Time (seconds)')
ylabel('Amplitude')
legend('Gcl_1', 'Gcl_2', 'Gcl_3')
title('Step Responses of Multiple Closed-loop Systems')

[K Kalanithi]

Thank you!