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9.3. An ideal PD controller has the transfer function P Ke (TDs + 1) E An actual PD controller had the transfer function P = Ke E TDS +1 (TDIẞ)s +1 where ẞis a large constant in an industrial controller. If a unit-step change in error is introduced into a controller having the second transfer function, show that P(1) = Kc (1 + Ae˜¯BD) where A is a function of ẞwhich you are to determine. For ẞ=5 and K = 0.5, plot P(t) versus tl tp. As ẞ, show that the unit-step response approaches that for the ideal controller.

9.3. An ideal PD controller has the transfer function P Ke (TDs + 1) E An actual PD controller had the transfer function P = Ke E TDS +1 (TDIẞ)s +1 where ẞis a large constant in an industrial controller. If a unit-step change in error is introduced into a controller having the second transfer function, show that P(1) = Kc (1 + Ae˜¯BD) where A is a function of ẞwhich you are to determine. For ẞ=5 and K = 0.5, plot P(t) versus tl tp. As ẞ, show that the unit-step response approaches that for the ideal controller.

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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9.3. An ideal PD controller has the transfer function P Ke (TDs + 1) E An actual PD controller had the transfer function P = Ke E TDS +1 (TDIẞ)s +1 where ẞis a large constant in an industrial controller. If a unit-step change in error is introduced into a controller having the second transfer function, show that P(1) = Kc (1 + Ae˜¯BD) where A is a function of ẞwhich you are to determine. For ẞ=5 and K = 0.5, plot P(t) versus tl tp. As ẞ, show that the unit-step response approaches that for the ideal controller.
Transcribed Image Text:9.3. An ideal PD controller has the transfer function P Ke (TDs + 1) E An actual PD controller had the transfer function P = Ke E TDS +1 (TDIẞ)s +1 where ẞis a large constant in an industrial controller. If a unit-step change in error is introduced into a controller having the second transfer function, show that P(1) = Kc (1 + Ae˜¯BD) where A is a function of ẞwhich you are to determine. For ẞ=5 and K = 0.5, plot P(t) versus tl tp. As ẞ, show that the unit-step response approaches that for the ideal controller.
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