(Solved): 3. The open-loop transfer function of a control system with unity feedback (i ...

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3. The open-loop transfer function of a control system with unity feedback (i.e., the loop transfer function), is given by $G(s)=\frac{(s+3)}{\left(s^2+4s+16\right)}$ a. Tabulate the magnitude $?G(j?)?$ and phase angle $?G(j?)$ values for about six points of frequency in the range $?=0$ to $?=5$. (10 points) b. Plot the Nyquist diagram for G, and indicate the GM, PM. (5 points) c. Plot the Bode diagram for G, and indicate the GM, PM. (5 points) d. If the open-loop system $(G)$ is given the sinusoidal input $u=2\cos 2t$, what is the output at steady-state? (5 points)