Question: Figure 10.79 shows the Bode plot for an open-loop transfer function (K G(s)) with (K=500). a. Determine the stability of the closed-loop system with (K=500).

Figure 10.79 shows the Bode plot for an open-loop transfer function \(K G(s)\) with \(K=500\).

a. Determine the stability of the closed-loop system with \(K=500\).

b. Determine the value of \(K\) that would yield a PM of \(45^{\circ}\).

FIGURE 10.79 Problem 5. Phase (degrees) Magnitude (dB) 100 -- --- 39

FIGURE 10.79 Problem 5. Phase (degrees) Magnitude (dB) 100 -- --- 39 dB 19 dB -100 10-1 100 101 | | 102 103 -100 -150 -200 -250 -135 -180 10-1 100 -214 10 10 103 Frequency (rad/s)

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