An open loop system is modeled with transfer function $()=1(2)(+3)$ h$)$ Put the transfer function G in a negative feedback loop as the plant with a P controller and calculate the transfer function of the feedback loop as a function of $.$ i$)$ Find a range for gain of the controller $()$ that makes the response of the feedback loop stable j$)$ Find a P$-$ Controller $($ a value for $)$ that will make the the response underdamped with damping of $0\mathrm{.}5.$ What would be the natural frequency $$ of the feedback loop.