Análise do Lugar das Raízes com Pólos e Zeros

Prévia do material em texto

Problem 5.19PP
The loop transmission of a system has two poles at s = -1 and a zero at s = -2. There is a third 
real-axis pole p located somewhere to the /e/tof the zero. Several different root loci are possible, 
depending on the exact location of the third pole. The extreme cases occur when the pole is 
located at infinity or when it is located at s = -2. Give values for p and sketch the three distinct 
types of loci.
Step-by-step solution
step 1 of 4
T . M s - s+2
Step 1 of 4
L (s )= ----- ----------
(= + l)C = ^ )
(i) Let p = -2
Step 2 of 4
Step 3 of 4
( ii) p = ^
Step 4 of 4
(iii) p = -oo