a) root locus of uncompensated system:
clc;
clear all;
s=tf('s');
g=12/(s*(s+10)*(s+70));% plant transfer function
rlocus(g);grid % locus of uncompensated system
for 5% overshoot the system is not meeting the design requirements.
b) lead controller
The compensator gain found by magnitude criteria at the dominant pole is K=459.7012
c) compensated system root locus:
clc;
clear all;
s=tf('s');
g=12/(s*(s+10)*(s+70));% plant transfer function
gc=(s+7.9364)/(s+11.4403)% compensator transfer function
rlocus(g*gc);grid % locus of compensated system
d) step response
clc;
clear all;
s=tf('s');
g=12/(s*(s+10)*(s+70));% plant transfer function
gc=(s+7.9364)/(s+11.4403)% compensator transfer function
k=459.7012;
step(feedback(k*g*gc,1));grid
3. Consider the tilt control block diagram shown below R(s) DesiredG(s) 12 s(s+10)(s+70) Y(s) Til...
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