Q4: 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-loop configuration. The 8(z+0.75) pulse transfer function is given as GzohGp(s) : Use sampling time as Ts=0.1 (z-0.35)(z-0.7)* second. Do the following: i. Obtain the design point in z-coordinates to achieve the requirement of having a system settling time of ts=2 seconds and damping ratio of zeta=0.5 ii. To meet the requirements in (i), calculate the angle contribution of the digital controller (PID).

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Q4:
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-loop configuration. The
8(z+0.75)
pulse transfer function is given as GzohGp(s)
Use sampling time as Ts=0.1
(z-0.35)(z-0.7)*
second. Do the following:
i.
Obtain the design point in z-coordinates to achieve the requirement of having a system
settling time of ts=2 seconds and damping ratio of zeta=0.5
ii.
To meet the requirements in (i) , calculate the angle contribution of the digital controller
(PID).
iii. Design a PID controller by determining its transfer function to meet the angle contribution
calculated in (ii). Use two identical PID controller-zeroes.
Transcribed Image Text:Q4: 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-loop configuration. The 8(z+0.75) pulse transfer function is given as GzohGp(s) Use sampling time as Ts=0.1 (z-0.35)(z-0.7)* second. Do the following: i. Obtain the design point in z-coordinates to achieve the requirement of having a system settling time of ts=2 seconds and damping ratio of zeta=0.5 ii. To meet the requirements in (i) , calculate the angle contribution of the digital controller (PID). iii. Design a PID controller by determining its transfer function to meet the angle contribution calculated in (ii). Use two identical PID controller-zeroes.
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