Question: Consider the unity negative feedback system shown in Figure 10.81. a. Use MATLAB to obtain the Bode plot (K G(s)) for (K=5). b. Determine the

Consider the unity negative feedback system shown in Figure 10.81.

a. Use MATLAB to obtain the Bode plot \(K G(s)\) for \(K=5\).

b. Determine the stability of the closed-loop system when \(K=5\) using the stability margins.

c. Determine the value of \(K\) that would yield a PM of \(40^{\circ}\).

d. Verify the result obtained in Part (c) by using the MATLAB command margin.

FIGURE 10.81 Problem 7. R(s)- K 100(s +20) s(s+5)(s+10) Y(s)

FIGURE 10.81 Problem 7. R(s)- K 100(s +20) s(s+5)(s+10) Y(s)

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