(Solved): 3- Find the transfer function of a system when the unit-step response (i.e., output of unit-step i ...

3- Find the transfer function of a system when the unit-step response (i.e., output of unit-step input) has overshoot \( 25 \% \), peak time 10 , and the output \( y(t) \rightarrow 1 \) as \( t \rightarrow \infty \) (i.e., \( \lim _{t \rightarrow \infty} y(t)=1 \) ). What is the time constant?