For the unity feedback system shown in Figure

Chapter 8, Problem 27

(choose chapter or problem)

For the unity feedback system shown in Figure P8.3, where

G(s) = \(\frac{K\left(s^2-2 s+2\right)}{(s+2)(s+4)(s+5)(s+6)}\)

do the following: [Section: 8.7]

a. Sketch the root locus.

b. Find the asymptotes.

c. Find the range of gain, K, that makes the system stable.

d. Find the breakaway points.

f. Find the location of higher-order closed-loop poles when the system is operating with 25% overshoot.

g. Discuss the validity of your second-order approximation.

h. Use MATLAB to obtain the closed-loop step response to validate or refute your second-order approximation.

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