Task 4: As a control engineer, you are tasked to enhance the performance of an analog plant using a digital controller PID. The controller is in connected in series with the plant in a closed- 5(z+0.15) loop configuration. The pulse transfer function is given as Gzohp(s) Use (z-0.4)(z-0.5)' sampling time as 0.2 second. i. You are requirement to make the settling time of 2 seconds and damping ratio of zeta =0.4. To meet these requirements, calculate the angle contribution of the digital controller (PID); Design a PID controller by determining its transfer function to meet the angle contribution calculated in (i). Use two identical PID controller-zeroes. ii. Task 4: As a control engineer, you are tasked to enhance the performance of an analog plant using a digital controller PID. The controller is in connected in series with the plant in a closed- 5(z+0.15) loop configuration. The pulse transfer function is given as Gzohp(s) Use (z-0.4)(z-0.5)' sampling time as 0.2 second. i. You are requirement to make the settling time of 2 seconds and damping ratio of zeta =0.4. To meet these requirements, calculate the angle contribution of the digital controller (PID); Design a PID controller by determining its transfer function to meet the angle contribution calculated in (i). Use two identical PID controller-zeroes