Consider the feedback system shown in Figure 10.64.

a. Find the locus of the closed-loop poles with respect to \(K\).

b. Find a value of \(K\) such that the maximum overshoot in the response to a unitstep reference input is less than \(20 \%\) and the \(2 \%\) settling time is less than \(1.1 \mathrm{~s}\).

c. Plot the unit-step response of the closed-loop system to verify the result in Part (b).

Transcribed Image Text:

FIGURE 10.64 Problem 8. R(s) K(s +5.5) S+40 10. s(s + 5)(s + 10) Y(s)