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Unformatted text preview: =
.
k
1
s
s+
D (s ) = ,
G (s ) = 2 .
s s+2 derivation? w
r y
D(s)
− G(s) u v Solution: The transfer function is
22. For the system in the previous problem, ﬁnd the range of control gain k for which the following speciﬁcations are satisﬁed: The rise time is less than 2 s, and the settling time is less than 3 s.
DG
k
H ( s) = 1 + DG = s 2 + 2s + k 23. Which of the following systems has/have an impulse response that can be roughly sketched as shown
22. For the
on the right? system in the previous problem, ﬁnd the range of control gain k for which the following
speciﬁcations are satisﬁed: The rise time is less than 2 s, and the settling time is less than 3 s.
Solutions: Using the approximate formula,
tr = ts = 1.8
!n
4.6 2 3 !n 0.9, 1.5. 2
5 =16 1.5. 25. How many roots of the following polynomial equation are in the LHP?
Thus, there is no control gain k that meets the speciﬁcations .
s5 + 3s4 + 5s3 + 7s2 + 9s + 1 = 0
23. Which of the following systems has/have an impulse response that can be roughly sketched as shown
on the r...
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This note was uploaded on 01/27/2014 for the course MAE 171A taught by Professor Idan during the Winter '09 term at UCLA.
 Winter '09
 IDAN

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