Archive for category Chapter 3. Closed loop TF
Closed loop transfer functions:
and here’s some Matlab code that goes along with the exercises in the slides:
% Closed loop TF % pkg load control; close all % Oef 1 en 2 Tpu = tf(8,[1 8 4]); Kc = 1.5; syscl = feedback(Kc*Tpu,1); step(syscl); hold on Kc2 = 7.5; syscl2 = feedback(Kc2*Tpu,1); PO = 100*exp(-0.5*pi/sqrt(1-0.5^2)) Tpeak = 2*pi/8/sqrt(1-0.5^2) step(syscl2) % Oef 3 Tpu3 = tf(2,[1 1 1]); Kc3 = -3/8; syscl3 = feedback(Kc3*Tpu3,1); step(syscl3); %Oef4 Tpu4 = tf(1,[1 4 3]); Ts4 = tf(1,[1 5]); syscl4 = feedback(192*Tpu4,Ts4) step(syscl4,10)
And here’s a nice video with some nice exercises that looks at the closed loop TF from a slightly different angle (forward path/(1+return path)).
Watch out, in the first exercise, the question is to find the closed loop TF from reference to u (whereas up so far, we only treated the r to z case).