Question

6.Assuming De) 0 in the plant given in Fig: 3 with Gs. design a PD controller that drives y(1) to asymptotically follow a unit-step input command i(t) with a percent overshoot equal to 10% and e setling time equal to 0.5 se. Identify the pşak time and the damped frequency of the transient response () Carefully sketch the transient response. Assuming Ds)-, find a steady state error due to this disturbance s(s +5) (0 pts) DS) Ris) E(s) Y(s) g. 100 90 80 70 5,00 4,800 4.0O ΡΟ.-100. 4.00 The optimurm coefficient based on TAE criterion for a step input 40 30 3,00 3.40 3.20 3.00 +1.40s+ -'+1.750,52 +2.15a's+ας 0.0 0 02 0.3 04 0.5 0.6 0.7 0.8 0.9 1.0 Damping ratio, ζ

Answer 1

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matlab:

clc;

clear all;

s=tf('s');

g=8/(s*(s+5)); %plant

gc=1.37*(s+16.1848); % controller

step(feedback(g*gc,1));grid% step response

legend('compensated system')

l File Edit View Insert Tools Desktop Window Help Step Response Sysem: compersated sysem Peak amptude:1.16 overshoct (: 157 Ar time jseconds:o 08 Setting time (seconds): 0.378 08 02 0.1 02 03 05 0.6 0.7 08 Time (seconds)