Question

4. The transfer function of a second-order system is given by: T(s)=\frac{Y(s)}{R(s)}=\frac{20 B}{s^{2}+(B+A B+1) s+K B} where A, B and K are the system parameters, which can be varied to

tune the system properties. Find A, B, and K so that the system is critically damped, its natural undamped frequency is 1 rad/s, and the steady-state gain equals 10.

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