EECE 460 Homework, Spring 2007
American University of Beirut · Control Systems · 1 page
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F. Mrad
EECE 460
Spring 2007
1
Homework # 2 Solution (Exercises 5.1, 3 & 6)
B-5-1.
Time constant = 0.25 min. The steady state error is 2.5 degrees.
B-5-3.
The maximum overshoot of 5% corresponds to ζ = 0.69.
Hence
2
2
2.90
0.69
w n
= ζ
=
rad/sec
B-5-6.
For a unit-impulse input
c(t)= -te-t + 2e-t
(t > 0)
For a unit-step input
c(t)=1 + te-t - e-t
(t > 0)