Design and analyze a proportional feedback control law for this system. a)Define theproportional feedback control law that drives the rotor speed to a commanded input value, bR(t), which can be time-varying in general. b)Write the closed-loop transfer function from bR(s) to b(s) for this system. c)Choose 2 numerical values for proportional gain(KP)and plot the system response to a commanded value of 1 rad/s for bR(t)(a step input)for each. d)How long do the two different versions take to get within 90% of the desired value for your gain choices