Root L
R t Locus
ESE 505 & MEAM 513
Bruce D Kothmann
D.
20140206
Root Locus Details
Additional Examples
Example Design Problem
R( s)
+

625
2
s 14 s 625
Y ( s)
Ks
Y ( s)
625
2
R ( s ) s 14 s 625 625Ks
CL ( s ) s 2 14 s 625 K 625s 0
Root Locus Supplem
ESE 406/505 & MEAM 513  SPRING 2011
HOMEWORK #8
DUE 6Apr2011 (Monday, 11Apr2011 with late pass)
1. Work problem 4.26 in the textbook.
Answers:
a.
,
b.
c.
,
d. On Your Own.
e. Integral feedback eliminates steady errors for step disturbances.
2. Work p
ESE 406  SPRING 2011
HOMEWORK #5
DUE 23Feb2011 (Monday, 28Feb with late pass)
Problem 1 You should look over problems 3.33 through 3.40, as well as Example 3.26. Submit your solution (a
hand sketch) to problem 3.35. If you dont have graph paper, you s
ESE 406/505 & MEAM 513  SPRING 2011
HOMEWORK #9
DUE 13Apr2011 (Monday, 18Apr2011 with late pass)
1. Work problem 4.34(c) and 4.35(c) in the textbook.
Answers: 4.34
4.35
2. Complete Problem 8.3, which is a fun way to practice working with Z transforms
ESE 406/505 & MEAM 513  SPRING 2011
HOMEWORK #10
DUE Tuesday 26Apr2011 @ 3:00PM (Friday 29Apr2011 @3PM with Late Pass)
1. Work problem 5.12 in the textbook. You should try to "sketch" the locus by hand, but you
may use Matlab to confirm your hand ske
ESE 406/505 & MEAM 513 2011Feb28 Quiz Name:_
Match Each Transfer Function to the Corresponding Bode Plot or Not Shown
Each Answer Should Be Used Exactly Once.
A correct answer is worth 2 points. There is no guessing penalty!
1.
9
_ s s 2 s 9
2.
9s 9
_
ESE 406/505 & MEAM 513 2011Apr11 Quiz Name:_
Choose the one best answer for each question by circling the letter.
A correct answer is worth 2 points.
No answer is worth 0 points.
An incorrect answer is worth 1 point. Random guessing will lower your sco
ESE 406/505 & MEAM 513 2011Apr04 Quiz Name:_
Choose the one best answer for each question by circling the letter.
A correct answer is worth 2 points.
No answer is worth 0 points.
An incorrect answer is worth 1 point. Random guessing will lower your sco
ESE 406 Midterm Exam Cheat Sheet
tr
1.8
n
ts
4.6
NOTE: u(t) in table is unit step
ESE 406 / 505 & MEAM 513
BDK : 02Mar2011
Stuff You Should Know (Not on Cheat Sheet)
Not on Exam Cheat Sheet
BDK : 02Mar2011
Stuff You Should Know (Not on Cheat Sheet)
Control of Systems
y
ESE 505 / MEAM 513
Spring 2015
Bruce D. Kothmann
About Dr. Bruce D. Kothmann
Decade+ Experience Designing & Testing Rotorcraft
FlybyWire Flight Controls @ Boeing Philadelphia
D
Dynamics, Controls & Aerodynamics Specialties
i
C t l
Some Introductory Stuff
2016C ESE 505 / MEAM 513 Homework #1 Upload to Canvas by Friday 20160909 @ 5PM
1. RC Circuit Step Response Using Matlab & Simulink
In class, we found that the relationship between the input, which we will call u(t), and the
outpu
More Dynamic Response & Control Design
ESE 505  2016C  Homework 3
Due by 9AM Monday 20161017
Problem #1: Root Locus Textbook Problem
For the system shown at right,
determine the value of the gain K
that results in a closedloop
damping ratio of 0.2. W
ESE 505 & MEAM 513 FALL 2016
HOMEWORK #4
1. Use the supplied "Bode Paper" to make hand sketches of the bode plots for each of the
following transfer functions. Then use MATLAB to check your sketch. Take a photo or
scan your hand sketches to submit. A grea
ESE 406/505 & MEAM 513  SPRING 2011
HOMEWORK #7
DUE 23Mar2011 (Monday, 28March with late pass)
1. Work problem 4.7 in the textbook. In addition to parts (a), (b), & (c) in the text, consider the
following additional questions, assuming that kt 1 , K 4
ESE 406  SPRING 2011
HOMEWORK #6
DUE 2Mar2011 (Friday, 4March with late pass)
Submit your solutions to the following problems in the textbook. You should use the Bode
Paper (below) to attempt a hand sketch. Then use the Matlab bode command to check yo
ESE 406  SPRING 2011  HOMEWORK #1
Mechanical System Models & Introduction to MATLAB / SIMULINK
DUE 24Jan2011 (Late Pass 26Jan2011)
Textbook Problems Submit solutions to the following problems. Answers are provided so that you can check your
work and
ESE 406/505 & MEAM 513 2011Apr18 Quiz Name:_
Choose the one best answer for each question by circling the letter.
A correct answer is worth 2 points.
No answer is worth 0 points.
An incorrect answer is worth 1 point. Random guessing will lower your sco
ESE 406/505 & MEAM 513 2011Mar21 Quiz Name:_
Choose the one best answer for each question by circling the letter.
A correct answer is worth 2 points.
No answer is worth 0 points.
An incorrect answer is worth 1 point. Random guessing will lower your sco
ESE 406/505 & MEAM 513 2011Feb21 Quiz Name:_
Choose only one answer for each question by circling the letter.
A correct answer is worth 2 points.
No answer is worth 0 points.
An incorrect answer is worth 1 point. Random guessing will lower your score,
ESE 406/505 & MEAM 513 2011Feb07 Quiz Name:_
Choose only one answer for each question by circling the letter.
A correct answer is worth 2 points.
No answer is worth 0 points.
An incorrect answer is worth 1 point. Random guessing will hurt you.
1.
Which
ESE 406/505 & MEAM 513 2011Feb14 Quiz Name:_
Choose only one answer for each question by circling the letter.
A correct answer is worth 2 points.
No answer is worth 0 points.
An incorrect answer is worth 1 point. Random guessing will lower your score,
ESE 406/505 & MEAM 513 2011Jan31 Quiz Name:_
Choose only one answer (A through D) for each question by circling the letter.
A correct answer is worth 2 points.
No answer is worth 0 points.
An incorrect answer is worth 1 point. Random guessing will hurt
ESE 406/505 & MEAM 513 2011Jan24 Quiz Name:_
Choose only one answer (A through D) for each question by circling the letter.
A correct answer is worth 2 points.
No answer is worth 0 points.
An incorrect answer is worth 1 point. Random guessing will hurt
ESE 406  SPRING 2011
HOMEWORK #3
DUE 9Feb2011 (14Feb2011 with late pass)
Problem 1 You should be able to solve all parts of problems 2.10 through 2.17 in the textbook. Submit solutions to
the following problems from the textbook:
a.
Problem 2.12. Ans
ESE 406  SPRING 2011
HOMEWORK #2
DUE 2Feb2011 (with Late Pass 7Feb2011)
Problem 1 You should be able to solve all parts of problems 3.2 through 3.9 in the textbook. Submit solutions to
the following problems from the textbook:
a.
Problem 3.3(c). Answ
ESE 406  SPRING 2011
HOMEWORK #4
DUE 16Feb2011 (21Feb2011 with late pass)
Problem 1 Submit solutions to the following problems from the textbook:
i.
Problem 3.28. Answers:
,
a.
b.
c.
ii.
,
Make a simple argument using the closedloop denominator.
Pro
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