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Homework 2 Spring 2016 AERE 331 Due 2/5(F) Name/Section Johnny Domina, Section 2
[Please remember to follow the solution format described in the syllabus at the website.]
In this homework we pass through a worm hole to p.667 of the text. We will address

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Homework 3 AERE 331 Spring 2014 Due 2/26(F)
SOLUTION
PROBLEM 1(20pts) Consider a unity feedback closed loop system with open loop transfer function
G(s)
K
. The Closed loop system poles are the values of s that satisfy p( s) s 2 2s k .
s ( s 2)
(a)(2pt

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EXAMPLES: Problems from Chapter 6
K ( s 2)
, draw the Bode plot
s 20
EXAMPLE 1. [Book 6.16(a)] For a closed loop system with open loop G ( s )
of this open loop for K = 1, and then use the plot to determine the range of K for which the closed loop is s

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The Relation between GM & PM and the Root Locus
RootLocus
3
2.5
System:G
Gain:6.11
Pole:0.00491+1.42i
Damping:0.00345
Overshoot(%):101
Frequency(rad/s):1.42
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)
Consider the open loop transfer function
5k
K
KG ( s )
.
s ( s 1)( s 2) s( s 1)( s 2)
(1)
I

Compensator Design for Mutiple Specifications
Estimating the Plant Transfer Function for a Cheap QuadcopterThe unit step position response of a quadcopter is shown at right. It
has the appearance of a 2nd order underdamped system:
2
g sn
G p (s) 2
2 .
s 2

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EXAMPLES: Problems from Chapter 6
K ( s 2)
, draw the Bode plot
s 20
EXAMPLE 1. [Book 6.16(a)] For a closed loop system with open loop G ( s )
of this open loop for K = 1, and then use the plot to determine the range of K for which the closed loop is s

Example on Phase Lead Compensator Design to Control Wing Vibration
Wing flutter can be complicated:
https:/www.facebook.com/100004932122109/videos/527149270792806/
Notice that TWO vibration modes are being excited: The tip mode, and the second tip mode. F

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Homework 4 AERE331 Spring 2016 Due 3/11 (F)
SOLUTION
PROBLEM 1 (25pts) The human ear is a dynamical system. The input is a sound wave with a given intensity and the
output is what the person hears. Figure 1 below gives what are called equal loudness con

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Exam 2 Spring 2016 AERE331
Take-Home Exam
DUE 3/28(M)
SOLUTION
IMPORTANT NOTES: If you do not follow the format of placing your work, plots and answers DIRECTLY
below the associated part of a given problem, those items will be ignored.
PROBLEM 1 (25pts)