Question

Clearly write out analysis. Provide simulation results to validate your design R(s) C(s) G(s) Problem: The unity feedback system seen below has the following G(s) - Gcfs)Gpfs) 33,333 2 A. Use the bode plot method to design a Lead Compensator for Gcs) such that the Percent Overshoot of 16% and the Settling Time-2 Insec B. Validate your design using a software tool

Answer 1

2 ー16 1 6u at &12-144S o, 1206 S3 447) S 31244S Cs Scanned with CamScanner

matlab verification:

clc;
clear all;
s=tf('s');
gp=33333/s^2; % plant
gc=(s+37.6446)/(s+312.1445);% controller
margin(gp);grid %bode of plant
figure
margin(gp*gc);grid % bode with controller
figure
step(feedback(gp*gc,1))

File Edit View Insert Tools Desktop Window Help Bode Diagram Gm-1.93e-15 dB (at 183 rad's).Pm-0 deg (at 183 rad/s) 50 40 103 10 Frequency (rad's)

File Edit View Insert Tools Desktop Window Help Gm-Inf dB (at0 radis), Pm-51.7 deg (at 107 rad's) 60 40 10 10 103 104 Frequency (rad's)

File Edit View Insert Tools Desktop Window Help Step Response Systam untitiedt Peik amphude: 1.25 Overshoot 26,4 Alume (sotonds): 0.0278 12 Sysem: untred Settling time (seconds):0.099 04 001 002 003 004 0.05 006 007 008 009 Time (seconds)