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A temperature control loop for a process exhibits underdamped behavior. The control loop is tuned for 0.25 decay ratio, and the time period for oscillations is 4 minutes. The control loop is tuned properly so that after the process reaches steady-state, there is no noticeable offset between the set point and the measured value of the pressure. Develop a second-order transfer function for the control system assuming the input is the temperature set point and the output is the measured value of the process temperature.

A temperature control loop for a process exhibits underdamped behavior. The control loop is tuned for 0.25 decay ratio, and the time period for oscillations is 4 minutes. The control loop is tuned properly so that after the process reaches steady-state, there is no noticeable offset between the set point and the measured value of the pressure. Develop a second-order transfer function for the control system assuming the input is the temperature set point and the output is the measured value of the process temperature.

Introduction to Chemical Engineering Thermodynamics
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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Please use the Book:Process Dynamics and Control, Third Edition or Fourth Edition, by D. E. Seborg, T. F. Edgar, D. A. Mellichamp, F. J. Doyle III, John Wiley & Sons, Inc, 2011

3. A temperature control loop for a process exhibits underdamped behavior. The control loop is tuned for 0.25 decay ratio, and the time period for oscillations is 4 minutes. The control loop is tuned properly so that after the process reaches steady-state, there is no noticeable offset between the set point and the measured value of the pressure. Develop a second-order transfer function for the control system assuming the input is the temperature set point and the output is the measured value of the process temperature.
Transcribed Image Text:3. A temperature control loop for a process exhibits underdamped behavior. The control loop is tuned for 0.25 decay ratio, and the time period for oscillations is 4 minutes. The control loop is tuned properly so that after the process reaches steady-state, there is no noticeable offset between the set point and the measured value of the pressure. Develop a second-order transfer function for the control system assuming the input is the temperature set point and the output is the measured value of the process temperature.
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