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 pulse transfer function is given as GzohGp(s) =- K(z+a) (z+b)(z+c)° Use sampling time Ts=0.6 second, K=8, a=0.78, b=-0.602 and c=-0.705. Do the following: i. Obtain the design point in z-coordinates to achieve the requirement of having a system settling time of 3 second, and damping ratio of zeta (z=0.705).

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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ii. To meet the requirements in previous step (i), calculate the angle contribution of the digital
controller (PID).
Transcribed Image Text:ii. To meet the requirements in previous step (i), calculate the angle contribution of the digital controller (PID).
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 pulse transfer
K(z+a)
function is given as GzohGp(s) =-
Use sampling time Ts=0.6 second, K=8, a=0.78, b=-0.602
(0+z)(q+z)
and c=-0.705. Do the following:
i. Obtain the design point in z-coordinates to achieve the requirement of having a system settling
time of 3 second, and damping ratio of zeta (z=0.705).
Transcribed Image Text: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 pulse transfer K(z+a) function is given as GzohGp(s) =- Use sampling time Ts=0.6 second, K=8, a=0.78, b=-0.602 (0+z)(q+z) and c=-0.705. Do the following: i. Obtain the design point in z-coordinates to achieve the requirement of having a system settling time of 3 second, and damping ratio of zeta (z=0.705).
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