4.4 Consider the transfer function model in Exercise 4.2. For an initial condition of y(0) =4 and a step change in u of mag- nitude 2 (at t =0), calculate the response, y(t). Hint: First determine the corresponding differential equation model. of deviation variables, that is, deviations from nominal steady-state conditions. Henson, M. A., and D. E. Seborg (Eds.), Nonlinear Process Control, Prentice Hall, Upper Saddle River, NJ, 1997. 4.2 Consider the following transfer function: Зе Y(s) G(s) = U(s) %3D 10s +1 (a) What is the steady-state gain? (b) What is the time constant? (c) If U(s) = 4/s, what is the value of the output y(t) when %3D t - 0o?
4.4 Consider the transfer function model in Exercise 4.2. For an initial condition of y(0) =4 and a step change in u of mag- nitude 2 (at t =0), calculate the response, y(t). Hint: First determine the corresponding differential equation model. of deviation variables, that is, deviations from nominal steady-state conditions. Henson, M. A., and D. E. Seborg (Eds.), Nonlinear Process Control, Prentice Hall, Upper Saddle River, NJ, 1997. 4.2 Consider the following transfer function: Зе Y(s) G(s) = U(s) %3D 10s +1 (a) What is the steady-state gain? (b) What is the time constant? (c) If U(s) = 4/s, what is the value of the output y(t) when %3D t - 0o?
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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Transcribed Image Text:4.4 Consider the transfer function model in Exercise 4.2. For
an initial condition of y(0) =4 and a step change in u of mag-
nitude 2 (at t =0), calculate the response, y(t).
Hint: First determine the corresponding differential equation
model.
Transcribed Image Text:of deviation variables, that is, deviations from nominal
steady-state conditions.
Henson, M. A., and D. E. Seborg (Eds.), Nonlinear Process Control,
Prentice Hall, Upper Saddle River, NJ, 1997.
4.2 Consider the following transfer function:
Зе
Y(s)
G(s) =
U(s)
%3D
10s +1
(a) What is the steady-state gain?
(b) What is the time constant?
(c) If U(s) = 4/s, what is the value of the output y(t) when
%3D
t - 0o?
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