ENME462: Vibrations, Controls, and Optimization II (Spring 2015)
1. The student-teacher learning process can be described as a closed-loop control system. Construct a
closed-loop system model of this process and identify each block of the system (plant, c

ME 462 EXAM # 1
Monday, March 3, 2008
Name_
Instructions
(1)
This is a closed book/notes examination
(2)
You must show all of your work to receive credit.
Problem No. 1 (30%)
_
Problem No. 2 (40%)
_
Problem No. 3 (30%)
_
TOTAL
_
(*/100%)
Problem 1:
a) Fin

ENME462: Vibrations, Controls, and Optimization II (Fall 2014)
1. Consider the unity feedback system of Figure 1 with
!
= (!)(!)
Design a PID controller that will yield
a peak time of 1.047 seconds
a damping rat

ENME462: Vibrations, Controls, and Optimization II (Fall 2014)
1. Transfer functions are useful because they algebraically describe the behavior of a system. A signal
input is multiplied by the transfer function to provide the signal output as seen in the

ENME462: Vibrations, Controls, and Optimization II (Fall 2014)
1. For each pair of second-order systems specifications that follow, find the location of the second-order
pair of poles:
2. For the transfer function

ENME462: Vibrations, Controls, and Optimization II (Spring 2015)
1. Transfer functions are useful because they algebraically describe the behavior of a system. A signal
input is multiplied by the transfer function to provide the signal output as seen in t

ENME462: Vibrations, Controls, and Optimization II (Fall 2014)
1. Anesthesia induces muscle relaxation (paralysis) in the patient using a mixture of isoflurane and atracurium. An approximate model relating muscle relaxation to the percent isoflurane in th

ENME462: Vibrations, Controls, and Optimization II (Fall 2014)
1. Consider the closed-loop system shown below.
1) Determine the value(s) of k such that the percent overshoot due to a unit step input is between 1%
and 10%.
2) Determine the steady state val

ENME462: Vibrations, Controls, and Optimization II (Fall 2014)
1. For the cruise control system below (with a simplified car model), design a controller so that the system responds to a step input from 0 m/s to 5 m/s in less than 3 seconds with no steady

ENME462: Vibrations, Controls, and Optimization II (Fall 2014)
1. A closed-loop feedback system is shown in Figure 1. Determine the range of values of the parameters
K and p for which the system is stable.
Figure 1
2. Given the unity feedback system shown

ENME462: Vibrations, Controls, and Optimization II (Fall 2014)
1. For each of the root loci shown below, tell whether or not the sketch can be a root locus. If the sketch
cannot be a root locus, explain why.
2. For the open loop transfer function G(s) sho

Taking tangents of both sides
ENME462: Vibrations, Controls, and Optimization II (Fall 2014) of this equation and noting that
1. Consider the feedback system with G s =
!
!
:
1) Sketch the root locus by hand and verify using M

ENME462: Vibrations, Controls, and Optimization II (Fall 2014)
1. For the following transfer function, find MG and G at = 0.1, 0.5, 1, 5, and 10 rad/s.
() =
1
+1
2. Given the input and output sinusoids ( = 1 rad/s) shown below, what is MG() and G()?
M G ,

Laboratory for Control and Information Systems
ENME462Vibration,ControlandOptimizationII
Lecture#08:TransientResponseAnalysis
Prof.JinOhHahnandDr.Munther Hasouneh
Announcements
(1) HW #03 is due 2/24 5:00pm at 2107B GLM
(2) Studios this week: Time Respons

Laboratory for Control and Information Systems
ENME462Vibration,ControlandOptimizationII
Lecture#06:TransientResponseAnalysis
Prof.JinOhHahnandDr.Munther Hasouneh
Announcements
(1) HW #02 is due 02/17 5:00pm at 2107B GLM
(2) Studios: Modeling
(3) Exercise

Laboratory for Control and Information Systems
ENME462Vibration,ControlandOptimizationII
Lecture#07:TransientResponseAnalysis
Prof.JinOhHahnandDr.Munther Hasouneh
Announcements
(1) HW #03 is due 02/24 5:00pm at 2107B GLM
(2) Studios: Time Response
(3) Exe

Laboratory for Control and Information Systems
ENME462Vibration,ControlandOptimizationII
Lecture#03:TransferFunction
Prof.JinOhHahnandDr.Hasouneh
Announcements
(1) Studios: Laplace Transform & Transfer Functions
(2) HW#01 Posted on Canvas
Laboratory for C

ENME462: Vibrations, Controls, and Optimization II (Fall 2014)
1. Consider the system shown in Figure 1.
(a) Determine the steady- state error for a unit step input in terms of K and K1 where
= .
(b) Select K1

ENME462: Vibrations, Controls, and Optimization II (Fall 2014)
1. Consider the closed-loop system shown below.
1) Determine the value(s) of k such that the percent overshoot due to a unit step input is between 1%
and 10%.
2) Determine the steady state val

ENME462: Vibrations, Controls, and Optimization II (Fall 2014)
1. Anesthesia induces muscle relaxation (paralysis) in the patient using a mixture of isoflurane and atracurium. An approximate model relating muscle relaxation to the percent isoflurane in th

MEMORANDUM
TO: Jeffery Herrmann, ENME426 Professor
FROM: Michael Shaffer
SUBJECT: Assignment Four (Process Observation)
The objective of this assignment was to first identify a manufacturing system. The
system I chose to observe was Jimmy Johns Gourmet Sa

Michael Shaffer
ENME426
Assignment 2
1
t_0
^2_0
m_f
m_r
^2_r
N_s
t_s
^2_s
1 min
0.25 min squared
20 min
10 min
25 min squared
60 parts
12 min
16 min squared
Preemptive
A=m_f/(m_f+m_r)
A=
0.667
A.
t_e=t_0/A
t_e=
1.5
Non-premptive (consecutively)
t_e=t_0+t_

Root Locus
Consider the following
K
The closed loop system is Y = s2 +2s+K . The closed loop response is determined by the roots of p(s) =
R
s2 + 2s + K = 0, or s = 1 1 K . For K 0, s = 2, 0. For 0 < K < 1 s = 1 + 1 K , 1 1 K
=
are real and negative. For