Consider the following model in state space in the image below: whose input-output transfer function is given by: y(s) = (s/ (s+1)(2s+1)) u(s) For a unit step change in input, u(s)=1/s (a) Find the output at t=0 and as t tends to infinity. (b) Find the solution in the time domain, y(t) (c) Sketch the behavior of y(t) in time.
Consider the following model in state space in the image below: whose input-output transfer function is given by: y(s) = (s/ (s+1)(2s+1)) u(s) For a unit step change in input, u(s)=1/s (a) Find the output at t=0 and as t tends to infinity. (b) Find the solution in the time domain, y(t) (c) Sketch the behavior of y(t) in time.
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
Related questions
Question
Consider the following model in state space in the image below:
whose input-output transfer function is given by:
y(s) = (s/ (s+1)(2s+1)) u(s)
For a unit step change in input, u(s)=1/s
(a) Find the output at t=0 and as t tends to infinity.
(b) Find the solution in the time domain, y(t)
(c) Sketch the behavior of y(t) in time.
Transcribed Image Text:y(s) =
S
(s + 1)(2s + 1)
u(s)
Transcribed Image Text:dx₁
dt
dx₂
dt
y = 1
-1.5 1x₁
X
J
-0,5 0
X
1
X
X
2
+
0,5
0
u
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 4 steps with 1 images
Recommended textbooks for you
Introduction to Chemical Engineering Thermodynami…
Chemical Engineering
ISBN:
9781259696527
Author:
J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:
McGraw-Hill Education
Elementary Principles of Chemical Processes, Bind…
Chemical Engineering
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY
Elements of Chemical Reaction Engineering (5th Ed…
Chemical Engineering
ISBN:
9780133887518
Author:
H. Scott Fogler
Publisher:
Prentice Hall
Introduction to Chemical Engineering Thermodynami…
Chemical Engineering
ISBN:
9781259696527
Author:
J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:
McGraw-Hill Education
Elementary Principles of Chemical Processes, Bind…
Chemical Engineering
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY
Elements of Chemical Reaction Engineering (5th Ed…
Chemical Engineering
ISBN:
9780133887518
Author:
H. Scott Fogler
Publisher:
Prentice Hall
Industrial Plastics: Theory and Applications
Chemical Engineering
ISBN:
9781285061238
Author:
Lokensgard, Erik
Publisher:
Delmar Cengage Learning
Unit Operations of Chemical Engineering
Chemical Engineering
ISBN:
9780072848236
Author:
Warren McCabe, Julian C. Smith, Peter Harriott
Publisher:
McGraw-Hill Companies, The