Question

26. Given the unity feedback system shown in Figure P8.3, a. Sketch the root locus. where $G(s) = \frac{K}{(s+1)(s+2)(s+3)}$ b. Find K for 20% overshoot. c. For K found in Part b, what is the settling time, and what is the peak time? d. Find the locations of higher-order poles for K found in Part b. e. Find the range of K for stability. do the following problem parts by first making a second-order approximation. After you are finished with all of the parts, justify your second-order approximation. [Section: 8.7]

          26. Given the unity feedback system shown in Figure P8.3, a. Sketch the root locus.
where
$G(s) = \frac{K}{(s+1)(s+2)(s+3)}$
b. Find K for 20% overshoot.
c. For K found in Part b, what is the settling time, and
what is the peak time?
d. Find the locations of higher-order poles for K found
in Part b.
e. Find the range of K for stability.
do the following problem parts by first making a second-order approximation. After you are finished
with all of the parts, justify your second-order
approximation. [Section: 8.7]

26. Given the unity feedback system shown in Figure P8.3, a. Sketch the root locus.
where
G(s) = (K)/((s+1)(s+2)(s+3))
b. Find K for 20% overshoot.
c. For K found in Part b, what is the settling time, and
what is the peak time?
d. Find the locations of higher-order poles for K found
in Part b.
e. Find the range of K for stability.
do the following problem parts by first making a second-order approximation. After you are finished
with all of the parts, justify your second-order
approximation. [Section: 8.7]

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