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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)
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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Parts (A-C) SOLVE CAREFULLY!! Please Write Clearly and Box the final Answer(s) and label them
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.
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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