pection Transfer Function of a plant is given by : 1 Gp (s) = 53 +255 +25 a) Find the poles of this plant and show on Pole-zero mar (Real-Imaginary axises) and - calculate, plot the response of the plant to a- unit impulse input. b) It is desired to improve steady-state Performance- Of the plant with a PI controller. Draw Block- diagram of closed-loop system with a unity Feed back gain. c) Calculate the PI contadler coefficients by Using Ziegler -Nichols Method. Determine the steady-state error of the closed- loop system (after the addition of the PI- Controller to Plant calculated in with the coefficients - (c)) for a unit ramp input.