(Solved): Consider a unity feedback system. The Bode plots of the loop function \( L(s) \) are shown in Fig. ...

Consider a unity feedback system. The Bode plots of the loop function \( L(s) \) are shown in Fig.1. Fig.2 shows the Bode plots of the closed-loop system \( \frac{L(s)}{1+L(s)} \). (a) Determine the steady-state response \( y(t) \) to input \( u(t)=5 \cos \omega t \) for \( \omega=0.1,1,10 \mathrm{rad} / \mathrm{s} \). (b) Can you determine the DC gain of the system? (c) [Optional] Can you determine the system type of the system? F1g. 1 rig. L