Consider a continuous unity feedback system which has forward transfer function as, 1 G(s) 33 + 13s2 + 408 the desired specifications for this system are Settling Time: 2s and Percent Overshoot: 10%. (a) Design a lead compensator for the digital system to have these specifications. In order to obtain digital controller use following approximation methods, Differencing Methods, Pole-Zero Matching, Bilinear Transformation (Tustin). Take sampling period as T = 0.01s. (b) Simulate your digital controllers with G(s) using Matlab Simulink. Consider a continuous unity feedback system which has forward transfer function as, 1 G(s) 33 + 13s2 + 408 the desired specifications for this system are Settling Time: 2s and Percent Overshoot: 10%. (a) Design a lead compensator for the digital system to have these specifications. In order to obtain digital controller use following approximation methods, Differencing Methods, Pole-Zero Matching, Bilinear Transformation (Tustin). Take sampling period as T = 0.01s. (b) Simulate your digital controllers with G(s) using Matlab Simulink