EML 4312 Fall 2009
Partial Fraction Expansion
The due date for this assignment is Wednesday 9/9.
CIRCLE YOUR ANSWER.
Show your work, and
1. Determine the inverse Laplace transform for the following problems (i.e., determine
f (t). No partial credit will b
EML 4312 Fall 2007 Assignment 1: Partial Fraction Expansion The due date for this assignment is Wednesday 9/12. 1. (50 points)Determine f (t) given F (s) for the following problems. (a) (10 points) F (s) = s2 + 2s + 2 (s + 1)(s + 2)
F(s) is not a st
EML4312 Spring 2011
HOMEWORK 1 SOLUTION
Partial Fraction Expansion
The due date for this assignment is Friday 1/21.
1. Determine the inverse Laplace transform for the following problems (80points):
(a) (10 points)
s2 + 2
;
(s + 1)(s2 + 4)
s2 + 2
A
Bs
C
=
EML 4312
Spring 2013
Test 1
This is a 50 min. closed test to all external resources: electronic or other
individuals.
Show ALL your work. Unjustied answers receive no credit.
1. (20 pts) Determine the transfer function for the following block diagram .
1
EML 4312 Fall 2011
Test 1
Show ALL your work. Unjustied answers receive no credit.
1. Determine the inverse Laplace transform for the following problems (i.e., determine
y(t).
a. (20 points)
b. (20 points)
Y (s) =
Y (s) =
1
s
(s + 1)2
s2
5s
+ 2s + 5
2.
EML 4312
Spring 2015
Block Diagram Simplication
The due date for this assignment is Monday Feb 9. Show your
work.
1. Determine the transfer function for the following block diagram.
2. Determine the transfer function for the following block diagram.
3. De
Control of Mechanical Engineering Systems
EML 4312 Spring 2015
Instructor: Warren E. Dixon
Office: 334 MAE-B Building
E-mail: wdixon@ufl.edu (preferred mode of communication)
Phone: (352) 846-1463
Teaching Assistants:
Indras Chakraborty
His-Yuan Stephen C
EML4312: Spring 2011 Test 2
Name
Instructions. This is a closed-book, closed notes exam.
1. (25 points ) Consider the following block diagram
R
Gc
Gp
Y
Block diagram.
Gp =
2
.
s (s + 3)
Using the MC/AC, design a Lead Compensator so that a closed-loop pole
EML 4312
Spring 2015
Lead/Lag Compensation (with additional Problem)
Due Wednesday March 16th by the beginning of class.
1. (20 points) For the following given plant model (for the standard canonical feedback system)
1
(s + 1)2
Gp (s) =
develop a controll
EML 4312
Fall 2012
Test 2
Show ALL your work. Unjustied answers receive no credit.
1. Draw the Root Locus for the following plants. You are required to draw the plot
correctly, compute the asymptotes, centroid, and relative degree. You are not required
to
EML 4312
State Space Homework
1. Consider the following block diagram
Input
+
K
Output
Gp
Block diagram.
where
s2 + 3
:
s3 + s2 + 5s + 1
Express the transfer function in terms of a state space realization. CHECK your
Answer using methods from class.
Gp =
aesz-Q ber/11:48 ?mblem4 gaimiom
, W
A = HSJgo = 83
710%ch +Wl= O Juw )02 z mo
"LILO
ow W75 WAN = Q; 9053
Bode Diagram
Magnitude (dB)
-so~-~-s~-s EEEEESE
-100
&:
o
I
Phase (deg)
-180
10
Frequency (rad/s) deg? rth -
[V
aOUcKA-W] LO
L
0
EML 4312
Spring 2015
Bode Analysis
Due Monday April 6.
1. Draw the asymptotic Bode Plot for the following transfer function
H(s) =
100s
.
(s + 1)2
In addition to your hand drawing and calculations, use the Matlab
command bode(sys) to also generate the plo
EML 4312 Spring 2011
Test 1
Show ALL your work. Unjustied answers receive no credit.
1. Determine the inverse Laplace transform for the following problems (i.e., determine
y(t).
a. (20 points)
b. (20 points)
Y (s) =
Y (s) =
1
1
s(s + 1)2
s(s2
1
+ 2s + 2
EML 4312 Homework #3
Assigned January 27, 2016
Due at the beginning of class Monday, February 5th, 2016
All problems are from the textbook: Dorf 10th Edition.
1. E4.1
Note: E4.1, 4.3, 4.4, 5.2, 5.3, 5.12 have answers given in the text.
2. E4.3
These are s
Complex Numbers
jx
e =cosx + jsinx
A=| A|e
j B
| A|= ( ( A ) ) + ( ( A ) )
2
A=tan 1
2
(A)
(A)
( )
Laplace Transforms
Properties
L ( cfw_ e pt ) =
1
s p
X ( s )=L ( cfw_ x ( t ) )
( cfw_ )
dx (t)
L ( cfw_ x ) =L
=sX ( s )x (0)
dt
L ( cfw_ x ) =L
(cfw_
spaMW C +ECW
[+Bc<-;+QDE_ 12
LK Hips 1; C - WT
M:m~m
j: K
P Hlif?._:_ . _ .
_@_
.m._W_
J
I
I ,
g m, a 7, Wmm54=<bigi . w.
I F w .
l
I
I
-~
3 (33+!)
1 N._,._
$watmmw
_1,.M,-._.2~,_1_:.W Mm ._._
EML4312 Spring 2016 - Exam 3 Solution
EXAM VERSION - There were three versions of the exam you can tell which version you have by
looking for a bold font 5 points in questions 1, 2,or 3. Your exam version c
System will be stable for all
values of K greater than zero and
less than the value of K when the
root loci cross the imaginary axis.
Damping ratio values on front page
Since this is a multiple choice
exam, it would be trivial to
sketch the root locus bra
EML 4312
HW 1
Fall 2016
Partial Fraction Expansion/Residue Formula
Each numbered problem has 10 points. For each problem/sub-problem, full
point will be awarded for showing a correct answer AND work; half point for
showing correct method with math error;
EML 4312 HW2 Solutions
Solutions using the algebraic method are provided. Simplification based on equivalent
block diagrams has various ways and is not listed here.
Note that the block diagrams are only interchangeable when both input and output remain
th
EML 4312
Spring 2015
Partial Fraction Expansion/Residue Formula
The due date for this assignment is Friday Jan 30th at the beginning of class.
Show all your work.
1. Find y(t) for the following
s
Y (s)
=
.
u(s)
(s + 10)
2. Find y(t) for the following (a)