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The Laplace transform of the differential equation, assuming zero initial conditions, is,
(s3+3s2+5s+1)Y(s) = (s3+4s2+6s+8)X(s).
MAE 318 System Dynamics and Control
Y (sMidterm #1 solution
) s 3 4s 2 6s 8
Solving for the transfer function,
=
.
X (s ) s
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you can first find the
TF from these equations and from TF
find the diff eq and
then covert it into
ABCD. or, you can
do ABCD directly as
shown here
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MAE 318, Fall 2016: Exam-3 (Final Exam)
Your name: _
Your lab group: M1 M2 Tu W1 W2 Th
General Instructions:
1.
2.
3.
4.
There are 6 questions in the exam. Not all are 20 points. The total score of the exam is 100.
Justify/explain/show work for your resul
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2 instead of -1 is a
loss point
correct equation,
wrong algebra is 5
points in total
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if you say error = 0
you get 2/3
if you say larger
sigma is needed
you get 1 or 2