Question

Problem 10-6: Lag Compensation You are chief controls engineer for M3 LLC - th ensure that the position control system on your missile tracking battery "locks-on missile streaking across the sky. The previously employed controls engineer propo e "making missiles miss" company. Your job is to mp input of a sed a loop transmission of L(s) s(0.1s +1)) You decide to try lag network to improve the ramp-following capabilities of this loop. Find a lag network that offers the best ramp performance with good phase margin. Don't forget the possibility of a placing the pole at the origin. Sketch your Bode obstacle course.

Answer 1

LISk A, sred STat en n dus đ。4m汁.ldmPb nqmtg 1d S 821o S 82 s+0.0017 PT

matlab verification:

clc;

clear all;

s=tf('s');

g=50/(s*(0.1*s+1)); % uncompensated system

gc=0.1718*(s+0.01)/(s+0.0017); % compensator

margin(g);grid % bode plot of uncompensated system

figure

margin(g*gc);% bode plot of compensated system

Bode Diagram Gm- Inf dB (at Inf rad/s), Pm- 25.2 deg (at 21.3 rad/e) 135 100 102 103 10) Frequency (radis)

Bode Diagram Gm Inf dB (at Inf rad's), Pm-54.8 deg (at 7.03 rad/s) 150 50 50 130 -180 10 102 10 Frequency (rads) Property Editor-Waveform