Q1) a) Find the inverse Laplace Transform of 18 y(s) = s(s + 3)(s + 6)

Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
icon
Related questions
icon
Concept explainers
Question
Q1) a) Find the inverse Laplace Transform of
18
y(s) =
s(s + 3)(s + 6)
b) Consider a first order differential equation of the form
2+ y(t) = Ku(t)
dt
Where T is the time constant, K is the steady state gain, y(t) is the output and u(t)
is the input. By using Laplace transforms and assuming nonzero initial conditions
y(0) = yo Specify the signals, constant parameters and transfer functions 1,2,3,4
and 5 highlighted in the block diagram in Figure Q1-b.
1
3
5
2
Figure Q1-b
c) The following transfer functions are part of a unity negative feedback loop where
1
C(s) = K, +, G(s)
+ + s
Calculate K, and K, using the heuristic method. Hence, calculate the steady state
error es and the steady state output y,s to a unit step input. What is the effect of
the integrator on the steady state error?
Transcribed Image Text:Q1) a) Find the inverse Laplace Transform of 18 y(s) = s(s + 3)(s + 6) b) Consider a first order differential equation of the form 2+ y(t) = Ku(t) dt Where T is the time constant, K is the steady state gain, y(t) is the output and u(t) is the input. By using Laplace transforms and assuming nonzero initial conditions y(0) = yo Specify the signals, constant parameters and transfer functions 1,2,3,4 and 5 highlighted in the block diagram in Figure Q1-b. 1 3 5 2 Figure Q1-b c) The following transfer functions are part of a unity negative feedback loop where 1 C(s) = K, +, G(s) + + s Calculate K, and K, using the heuristic method. Hence, calculate the steady state error es and the steady state output y,s to a unit step input. What is the effect of the integrator on the steady state error?
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Laplace Transform of Signal
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:
9780133923605
Author:
Robert L. Boylestad
Publisher:
PEARSON
Delmar's Standard Textbook Of Electricity
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:
9781337900348
Author:
Stephen L. Herman
Publisher:
Cengage Learning
Programmable Logic Controllers
Programmable Logic Controllers
Electrical Engineering
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education
Fundamentals of Electric Circuits
Fundamentals of Electric Circuits
Electrical Engineering
ISBN:
9780078028229
Author:
Charles K Alexander, Matthew Sadiku
Publisher:
McGraw-Hill Education
Electric Circuits. (11th Edition)
Electric Circuits. (11th Edition)
Electrical Engineering
ISBN:
9780134746968
Author:
James W. Nilsson, Susan Riedel
Publisher:
PEARSON
Engineering Electromagnetics
Engineering Electromagnetics
Electrical Engineering
ISBN:
9780078028151
Author:
Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher:
Mcgraw-hill Education,