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3. Consider the transfer function: 15(s+2)e-0.45 (0.6s+1)(15s+1)(20s+1)(0.25s+1) a) Approximate as a first order plus time delay (FOPTD) model using Taylor's method. b) Approximate as a FOPTD model using Skogestad's method. c) Approximate as a second order plus time delay (SOPTD) model using Taylor's method. d) Approximate as a SOPTD model using Skogestad's method. e) Would you expect the FOPTD or SOPTD models to better approximate the overall transfer function? Why?

3. Consider the transfer function: 15(s+2)e-0.45 (0.6s+1)(15s+1)(20s+1)(0.25s+1) a) Approximate as a first order plus time delay (FOPTD) model using Taylor's method. b) Approximate as a FOPTD model using Skogestad's method. c) Approximate as a second order plus time delay (SOPTD) model using Taylor's method. d) Approximate as a SOPTD model using Skogestad's method. e) Would you expect the FOPTD or SOPTD models to better approximate the overall transfer function? Why?

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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3. Consider the transfer function: 15(s+2)e-0.45 (0.6s+1)(15s+1)(20s+1)(0.25s+1) a) Approximate as a first order plus time delay (FOPTD) model using Taylor's method. b) Approximate as a FOPTD model using Skogestad's method. c) Approximate as a second order plus time delay (SOPTD) model using Taylor's method. d) Approximate as a SOPTD model using Skogestad's method. e) Would you expect the FOPTD or SOPTD models to better approximate the overall transfer function? Why?
Transcribed Image Text:3. Consider the transfer function: 15(s+2)e-0.45 (0.6s+1)(15s+1)(20s+1)(0.25s+1) a) Approximate as a first order plus time delay (FOPTD) model using Taylor's method. b) Approximate as a FOPTD model using Skogestad's method. c) Approximate as a second order plus time delay (SOPTD) model using Taylor's method. d) Approximate as a SOPTD model using Skogestad's method. e) Would you expect the FOPTD or SOPTD models to better approximate the overall transfer function? Why?
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