An electronic PID temperature controller is at steady state with an output of 12 mA. The set point equals the nominal process temperature initially. At t = 0, the set point is increased at the rate of 0.5 mA/min (equivalent to a rate of 2°F/min). If the PID transfer function and current settings are: P'(s) E(s) =Kc1+ C - 1 T₁S + TDS Kc = 2 (dimensionless) tl = 1.5 min TD = 0.5 min (a) Derive an expression for the controller output p(t). (b) Repeat (a) for a PI controller. (c) Plot the two controller outputs in Simulink and qualitatively discuss their differences.
An electronic PID temperature controller is at steady state with an output of 12 mA. The set point equals the nominal process temperature initially. At t = 0, the set point is increased at the rate of 0.5 mA/min (equivalent to a rate of 2°F/min). If the PID transfer function and current settings are: P'(s) E(s) =Kc1+ C - 1 T₁S + TDS Kc = 2 (dimensionless) tl = 1.5 min TD = 0.5 min (a) Derive an expression for the controller output p(t). (b) Repeat (a) for a PI controller. (c) Plot the two controller outputs in Simulink and qualitatively discuss their differences.
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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![An electronic PID temperature controller is at steady state with an output of 12 mA. The
set point equals the nominal process temperature initially. At t = 0, the set point is
increased at the rate of 0.5 mA/min (equivalent to a rate of 2°F/min). If the PID transfer
function and current settings are:
P'(s)
E(s)
Kc = 2 (dimensionless)
tl = 1.5 min
=
X=[1+=+=+=0]
Kc1+
+T
T,S
TDS
TD = 0.5 min
(a) Derive an expression for the controller output p(t).
(b) Repeat (a) for a PI controller.
(c) Plot the two controller outputs in Simulink and qualitatively discuss their differences.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8ef5005f-99e9-4e7d-9469-054276644387%2F9492520e-f77c-40c0-8c1e-c37297cb3945%2Fxqcg4fm_processed.png&w=3840&q=75)
Transcribed Image Text:An electronic PID temperature controller is at steady state with an output of 12 mA. The
set point equals the nominal process temperature initially. At t = 0, the set point is
increased at the rate of 0.5 mA/min (equivalent to a rate of 2°F/min). If the PID transfer
function and current settings are:
P'(s)
E(s)
Kc = 2 (dimensionless)
tl = 1.5 min
=
X=[1+=+=+=0]
Kc1+
+T
T,S
TDS
TD = 0.5 min
(a) Derive an expression for the controller output p(t).
(b) Repeat (a) for a PI controller.
(c) Plot the two controller outputs in Simulink and qualitatively discuss their differences.
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