Now let's try a lead lag controller! Assume that a unity feedback system with the feedforward transfer function shown below is operating at 20% overshoot. Do the following: G(s) = K/s(s+ 7) a) Evaluate the settling time of the system b) Evaluate the steady state error for a unit ramp input c) Design a lead-lag compensator to decrease the settling time by 2 times and decrease the steady state error in response to a unit ramp by 10 times. Assume that the lead zero is placed at -3. Write the transfer function for your system, show the root locus for the compensated system, and show the response to a step input.