Problem 5 Part (A): Consider the typical structure of a feedback control system CONTROLLER Y(Z) G, (z) Y₂ (²) + (2) Y(z)= From the rules: (1) What comes out of a box is what went in times what is inside (2) What comes out of a summing junction is the sum of what went in with the associated sign included M (2) show that the transfer function giving the z-transform of the output from the z- transform of the input is given by 2] (27) X0 (2) PLANT G₂(z) G₂(z)G₂ (z) [1+G₂(z)G₂(z) |

Electricity for Refrigeration, Heating, and Air Conditioning (MindTap Course List)
10th Edition
ISBN:9781337399128
Author:Russell E. Smith
Publisher:Russell E. Smith
Chapter11: Thermostats, Pressure Switches, And Other Electric Control Devices
Section: Chapter Questions
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Problem 5
Part (A): Consider the typical structure of a feedback control system
CONTROLLER
Y₂ (2) + E(2)
Y(Z)
G, (z)
From the rules:
(1) What comes out of a box is what went in times what is inside
(2) What comes out of a summing junction is the sum of what went in with the
associated sign included
Y(z)=
M (2)
show that the transfer function giving the z-transform of the output from the z-
transform of the input is given by
G₂(z)G₂(z)
1+G₂(z)G₂(z)
PLANT
G₂(z)
Y₂(z)
Transcribed Image Text:Problem 5 Part (A): Consider the typical structure of a feedback control system CONTROLLER Y₂ (2) + E(2) Y(Z) G, (z) From the rules: (1) What comes out of a box is what went in times what is inside (2) What comes out of a summing junction is the sum of what went in with the associated sign included Y(z)= M (2) show that the transfer function giving the z-transform of the output from the z- transform of the input is given by G₂(z)G₂(z) 1+G₂(z)G₂(z) PLANT G₂(z) Y₂(z)
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