Question

Sketch the root locus as K varies from 0 Koo 2A unity feedback system has a loop transfer function 10 (s + 5) (s + a) し(s) = Gc(s)G(s) = . Sketch the root locus for 0 s a o0

Answer 1

S sta characterstic equation 2 2 3 as vaYI or sketching root LocuS

2eros are . 乙=2 3.985 F - 53.13 / 2.8D real Part 53,闩

a S S-(1.4.3.98 ( S+2.801 IS-(1,4+3.985; ) ) ongle 익 departure 18 o - 18 o L46.50 L9 189-4 6. o 43- simlorly at o

Matlab code:

clc;clear all;close all;
k=1;
num=[1 0 0];
denum=[1,0,10,50];
sys=tf(num,denum)
rlocus(sys)
grid on
Output:

Root Locus 0.46 0.72 0.6 0.16 0.3 0.84 30:92 0.98 6 0:98 30:92 084 0.6 0.46 0.16 0.72 -2 Real Axis (seconds')