You are trying to develop a basic temperature tracker to control the temperature of a room. The room's thermal dynamics are described by the following plant transfer function: Y, (s) U,(s) T(s) 7s – 1 The following block diagram describes the system with its controller, attempting to track the signal У,ref: Y1,ref (s) U (s) K, Y1(s) T(s) Y1 (s) (a) Determine the closed-loop transfer function, G(s) from the black diagram. Y1,ref(s)' (b) Determine the expression for the pole of G(s). Note that it should be a function of Kp. (c) Determine the value of K, to make the pole of G(s) be equal to –3.
You are trying to develop a basic temperature tracker to control the temperature of a room. The room's thermal dynamics are described by the following plant transfer function: Y, (s) U,(s) T(s) 7s – 1 The following block diagram describes the system with its controller, attempting to track the signal У,ref: Y1,ref (s) U (s) K, Y1(s) T(s) Y1 (s) (a) Determine the closed-loop transfer function, G(s) from the black diagram. Y1,ref(s)' (b) Determine the expression for the pole of G(s). Note that it should be a function of Kp. (c) Determine the value of K, to make the pole of G(s) be equal to –3.
Introductory Circuit Analysis (13th Edition)
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Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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Parts (A-C) SOLVE CAREFULLY!! Please Write Clearly and Box the final Answer(s) and label them
Transcribed Image Text:You are trying to develop a basic temperature tracker to control the temperature of a room. The
room's thermal dynamics are described by the following plant transfer function:
Y, (s)
2
T(s)
%3D
U (s) 7s –
· 1
The following block diagram describes the system with its controller, attempting to track the signal
Y1,ref:
Y1,ref (s)
Y1(s)
U(s)
K,
T(s)
Y1 (s)
(a) Determine the closed-loop transfer function, G(s) =
from the black diagram.
Yı,ref(s)'
(b) Determine the expression for the pole of G(s). Note that it should be a function of Kp.
(c) Determine the value of K, to make the pole of G(s) be equal to –3.
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