Control System

3. For the system with feedback, shown in Figure 3:

(i) Show that the closed-loop transfer function is given by

T(s)=\frac{B}{s^{2}+(A B+1) s+K}

(ii) Find A, B, and K so that the system is underdamped, with the damping factor =0.5, its actual oscillation frequency is v=10 rad/s, and the steady-state gain equals 2.



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