Y(s)(e) The figure below shows the step response of a first-order system of the formU(s)s+a1086.40.511.52.533.544.5t [s]Compute the values of a and b.||2.2.(2)i (a) If f(t) = sin²t .Compute F(s), i.e., the Laplace transform of f(t).Y(s)(b) Consider a system with the closed-loop transfer function20(s +4)R(s) s' + 4s +13with input R (s) and output Y (s). When all initial conditions are zero and the input is an impulse, obtain theoutput y (t).Y (s).(c) Consider the following transfer function12Obtain the closed-loop unit step responseR(s)s'+6s +9Y(s)(d) Consider the following closed-loop transfer functionR(s)12Obtain the steady state erors´ + 6s +9for a unit step input.

As per the guidelines of Bartleby we supposed to answer first three subparts of question.

Answered: Y(s) (e) The figure below shows the…

Y(s) (e) The figure below shows the step response of a first-order system of the form U(s) s+a 10 8 6. 4 0.5 1.5 2. 2.5 3 3.5 4 4.5 t [s] Compute the values of a and b. || 2. (2)i

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...

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Question

Y(s)
(e) The figure below shows the step response of a first-order system of the form
U(s)
s+a
10
8
6.
4
0.5
1
1.5
2.5
3
3.5
4
4.5
t [s]
Compute the values of a and b.
||
2.
2.
(2)i

(a) If f(t) = sin²t .Compute F(s), i.e., the Laplace transform of f(t).
Y(s)
(b) Consider a system with the closed-loop transfer function
20(s +4)
R(s) s' + 4s +13
with input R (s) and output Y (s). When all initial conditions are zero and the input is an impulse, obtain the
output y (t).
Y (s).
(c) Consider the following transfer function
12
Obtain the closed-loop unit step response
R(s)
s'+6s +9
Y(s)
(d) Consider the following closed-loop transfer function
R(s)
12
Obtain the steady state eror
s´ + 6s +9
for a unit step input.

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