How to visualise feedback function?
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Rubayet
el 28 de Abr. de 2024
Respondida: Sam Chak
el 28 de Abr. de 2024
numA = [0.1];
denomA = [1 0];
C = tf(numA, denomA)
numB = [1];
denomB = [1 1];
G = tf(numB, denomB)
s = tf('s');
R = 10/s
My task is to write an M-file to find and plot the response of the following system to an input signal of R(s) = 10/s.
However, I am unable to understand the function of different parameters in the FUNCTION called feedback().
One thing I understood is that it is a closed negative loop, therefore I won't have to add 1 at the last parameter which is for positive feedback loop.
Hence, I am unsure whether to use one of these for the final output:
Given that R(s) = 10/s.
I am thinking between:
system1 = feedback(C,G)
step(R*system1)
system2 = feedback(C*G,1,-1)
step(R*system2)
What is the difference between system1 and system 2? Both are closed loops. In system 1, C and G are two different models. In system 2, C and G are treated as one model by mutliplying with unity being the other model.
What is the visual difference between system1 and system2? What am I doing wrong?
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Sam Chak
el 28 de Abr. de 2024
Hi @Rubayet
This is how you can use the 'feedback()' function to obtain the closed-loop system. You can compare the two approaches presented below:
numA = [0.1];
denomA = [1 0];
C = tf(numA, denomA)
numB = [1];
denomB = [1 1];
G = tf(numB, denomB)
Approach #1: Use the built-in 'feedback()' function
%% closed-loop system
clsys = feedback(C*G, 1)
%% input signal (a constant)
R = 10; % R(s) = 10/s --> R(t) = 10
%% System response
step(R*clsys), grid on
Approach #2: Use the direct formula
s = tf('s');
clsys2 = (C*G)/(1 + (C*G))
clsys2 = minreal(clsys2) % simplification (minimal realization)
%% System response
step(R*clsys), grid on
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