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(a) An ideal PD controller has the following transfer function: G. (s) = P(s) =K,[T,s+1] E(s) However, an actual PD controller has the following transfer function: P(s) =K. G.(s) = E(s) Tos+1 (To/B)s+1 %3D Where B is a constant that is characteristic of an industrial PD controller system. (i) If a unit step change in the error e(t) is introduced to the controller, determine the ideal and actual output responses. (ii) Determine which of 2 scenarios (ideal or actual) has faster response kinetics. (b) The preheater furnace below is used to increase the temperature of a crude oil from Tị to T, where T is the target value. The crude oil enters and leaves the furnace at the same flow rate (F = Fi). Fuel and air are mixed and burned in the furnace to heat the crude oil. (i) Determine the manipulated variable(s), controlled variable(s), and disturbance

(a) An ideal PD controller has the following transfer function: G. (s) = P(s) =K,[T,s+1] E(s) However, an actual PD controller has the following transfer function: P(s) =K. G.(s) = E(s) Tos+1 (To/B)s+1 %3D Where B is a constant that is characteristic of an industrial PD controller system. (i) If a unit step change in the error e(t) is introduced to the controller, determine the ideal and actual output responses. (ii) Determine which of 2 scenarios (ideal or actual) has faster response kinetics. (b) The preheater furnace below is used to increase the temperature of a crude oil from Tị to T, where T is the target value. The crude oil enters and leaves the furnace at the same flow rate (F = Fi). Fuel and air are mixed and burned in the furnace to heat the crude oil. (i) Determine the manipulated variable(s), controlled variable(s), and disturbance

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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(a) An ideal PD controller has the following transfer function: P(s) – K.[T,s +1] G.(s) = E(s) %3! %3D However, an actual PD controller has the following transfer function: Tos+1 (To/B)s+1 P(S) =K. G.(s) = E(s) Where B is a constant that is characteristic of an industrial PD controller system. (i) If a unit step change in the error e(t) is introduced to the controller, determine the ideal and actual output responses. (ii) Determine which of the 2 scenarios (ideal or actual) has faster response kinetics. (b) The preheater furnace below is used to increase the temperature of a crude oil from T¡ to T, where T is the target value. The crude oil enters and leaves the furnace at the same flow rate (F = Fi). Fuel and air are mixed and burned in the furnace to heat the crude oil. (i) Determine the manipulated variable(s), controlled variable(s), and disturbance variable(s) of the system. (ii) Construct a feedforward (FF) configuration to control the temperature of the hot crude oil leaving the furnace, and discuss the control logic. Crude Oil F, T Fi, Ti Air Fuel Air Flow Rate Fuel Flow Rate
Transcribed Image Text:(a) An ideal PD controller has the following transfer function: P(s) – K.[T,s +1] G.(s) = E(s) %3! %3D However, an actual PD controller has the following transfer function: Tos+1 (To/B)s+1 P(S) =K. G.(s) = E(s) Where B is a constant that is characteristic of an industrial PD controller system. (i) If a unit step change in the error e(t) is introduced to the controller, determine the ideal and actual output responses. (ii) Determine which of the 2 scenarios (ideal or actual) has faster response kinetics. (b) The preheater furnace below is used to increase the temperature of a crude oil from T¡ to T, where T is the target value. The crude oil enters and leaves the furnace at the same flow rate (F = Fi). Fuel and air are mixed and burned in the furnace to heat the crude oil. (i) Determine the manipulated variable(s), controlled variable(s), and disturbance variable(s) of the system. (ii) Construct a feedforward (FF) configuration to control the temperature of the hot crude oil leaving the furnace, and discuss the control logic. Crude Oil F, T Fi, Ti Air Fuel Air Flow Rate Fuel Flow Rate
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