Question: Consider the feedback control system shown in Figure 10.42. a. Design a PD controller such that the closed-loop poles are at (p_{1,2}=-6 pm 8 mathrm{j}).

Consider the feedback control system shown in Figure 10.42.

a. Design a PD controller such that the closed-loop poles are at \(p_{1,2}=-6 \pm 8 \mathrm{j}\).

b. Use MATLAB to plot the unit-step response of the closed-loop system. Find the rise time, overshoot, peak time, and \(1 \%\) settling time.

FIGURE 10.42 Problem 3. R(s) kp+ KDS H 8 Y(s) s+4s

FIGURE 10.42 Problem 3. R(s) kp+ KDS H 8 Y(s) s+4s

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