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(Q2) Figure (1) shows a digital control system. The digital system is modeled by sampler and zero- oreder holding device with sampling time is 1 second. The transfer functions of controller (G.(s)), the sensor (Gm(s)) and the plant (Gp(s)) are: Ge(s)=Gm(s)=1, Gp(8)=+1) At the time = 0, the reference value (TP(t)) is changed by unit step function, determine a) The open-loop(forward path) digital transfer function. b) The closed-loop digital transfer function. c) The discrete time response function. d) Find the response values of the discrete time response from 0 to 4 seconds. e) Find the final value of the discrete response. Tis) A/D Computer D/A Controller Process Digital measurement system Figure (1): Block diagram of digital control system

(Q2) Figure (1) shows a digital control system. The digital system is modeled by sampler and zero- oreder holding device with sampling time is 1 second. The transfer functions of controller (G.(s)), the sensor (Gm(s)) and the plant (Gp(s)) are: Ge(s)=Gm(s)=1, Gp(8)=+1) At the time = 0, the reference value (TP(t)) is changed by unit step function, determine a) The open-loop(forward path) digital transfer function. b) The closed-loop digital transfer function. c) The discrete time response function. d) Find the response values of the discrete time response from 0 to 4 seconds. e) Find the final value of the discrete response. Tis) A/D Computer D/A Controller Process Digital measurement system Figure (1): Block diagram of digital control system

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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(Q2) Figure (1) shows a digital control system. The digital system is modeled by sampler and zero- oreder holding device with sampling time is 1 second. The transfer functions of controller (G(s)), the sensor (Gm(s)) and the plant (Gp(S)) are: 1 Ge(s)=Gm(s)=1, Gp(s)=: s(s+1) At the time = 0 , the reference value (T*P(t)) is changed by unit step function, determine a) The open-loop(forward path) digital transfer function. b) The closed-loop digital transfer function. c) The discrete time response function. d) Find the response values of the discrete time response from 0 to 4 seconds. e) Find the final value of the discrete response. A/D Computer D/A Controller Tis) Process Digital measurement system جامعلاطري Figure (1): Block diagram of digital control system
Transcribed Image Text:(Q2) Figure (1) shows a digital control system. The digital system is modeled by sampler and zero- oreder holding device with sampling time is 1 second. The transfer functions of controller (G(s)), the sensor (Gm(s)) and the plant (Gp(S)) are: 1 Ge(s)=Gm(s)=1, Gp(s)=: s(s+1) At the time = 0 , the reference value (T*P(t)) is changed by unit step function, determine a) The open-loop(forward path) digital transfer function. b) The closed-loop digital transfer function. c) The discrete time response function. d) Find the response values of the discrete time response from 0 to 4 seconds. e) Find the final value of the discrete response. A/D Computer D/A Controller Tis) Process Digital measurement system جامعلاطري Figure (1): Block diagram of digital control system
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