Solution Found!
For the unity feedback system shown in Figure
Chapter 8, Problem 22(choose chapter or problem)
For the unity feedback system shown in Figure P8.3, where
G(s) = \(\frac{K(s+10)(s+20)}{(s+30)\left(s^2-10 s+100\right)}\)
do the following: [Section: 8.7]
a. Sketch the root locus.
b. Find the range of gain, K, that makes the system stable.
c. Find the value of K that yields a damping ratio of 0.707 for the system's closed-loop dominant poles.
d. Find the value of K that yields closed-loop critically damped dominant poles.
Questions & Answers
QUESTION:
For the unity feedback system shown in Figure P8.3, where
G(s) = \(\frac{K(s+10)(s+20)}{(s+30)\left(s^2-10 s+100\right)}\)
do the following: [Section: 8.7]
a. Sketch the root locus.
b. Find the range of gain, K, that makes the system stable.
c. Find the value of K that yields a damping ratio of 0.707 for the system's closed-loop dominant poles.
d. Find the value of K that yields closed-loop critically damped dominant poles.
ANSWER:Step 1 of 10
The given transfer function,
Number of the poles,
Number of the zeros,
For finding the position of the zeros substitute the numerator of the function equals to zero.
Zeros are on the left-hand side of the s-plane.