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c) Draw the block-diagram for the closed-loop system.

c) Draw the block-diagram for the closed-loop 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
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help part c block diagram 

In this problem you will create and analyze a block-diagram for an HVAC system. a) The room temperature dynamics are mcT'(t) = –KT(t) +q(t) where m is the mass of air in the room, C is the specific-heat of air, k is the heat- transfer coefficient through the walls, and q(t) is the heat supplied by the HVAC system. The control input is the supplied heat q(t) and the controlled output is the room temperature T(t). Find the transfer function P(s) for the room from supplied heat q(t) to room temperature T(t). b) The room temperature is controlled by a proportional-integral controller q(t) = K„(Tref – T(t)) + K; | | Tref – T(7)dr - where Kp and K; are the proportional and integral gains, respectively, and Tref is the desired room temperature. Find the transfer function K(s) for the controller from tracking error e(t) = Tref – T(t) to supplied heat q(t). Draw the block-diagram for the closed-loop system.
Transcribed Image Text:In this problem you will create and analyze a block-diagram for an HVAC system. a) The room temperature dynamics are mcT'(t) = –KT(t) +q(t) where m is the mass of air in the room, C is the specific-heat of air, k is the heat- transfer coefficient through the walls, and q(t) is the heat supplied by the HVAC system. The control input is the supplied heat q(t) and the controlled output is the room temperature T(t). Find the transfer function P(s) for the room from supplied heat q(t) to room temperature T(t). b) The room temperature is controlled by a proportional-integral controller q(t) = K„(Tref – T(t)) + K; | | Tref – T(7)dr - where Kp and K; are the proportional and integral gains, respectively, and Tref is the desired room temperature. Find the transfer function K(s) for the controller from tracking error e(t) = Tref – T(t) to supplied heat q(t). Draw the block-diagram for the closed-loop system.
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