Unformatted text preview: ller Dzero at 1.01 and hence its effect is
zero at 0.5 the dominant
small, making the onein LHP>Mp inc.pole. Therefore, the impulse response of E would also
10
3
s+1
10
syi greater> Mp
s + 2 (B) as shown. So the answer is C, E
be (
(A) 2 Groughly sketched 2D(s) = 1 + k . (C) 2
(D)
s + s)s= s10 s 1 , s + 2s + 5 s
2 +2+
s + 2s + 10
2s + 5
decreases
24.
following
25. How manyWhich of the k following polynomial equation are in the RHP?
roots of the in whichsystems have the largest percent overshoot in response to a step input?
Find the range of
the closedloop system is stable.
10
3
s+1
10
Solution: The characteristic equation is
s5 + 3s4 +(A)3s++ 2s + 10s +(B) =2 0 2s + 5 (C) s2 + 2s + 10 (D) 2s + 5
5s 2 7s 2 + 9
1s+
s+2
k
3
2
1 + GD A
1 + 2 of
1+
= second order
26. Consider the unity = 0 ﬁrst order system s the plantsGovershoot, so s + 2s Dthe):solution.2kFor 0.
s
Solution: feedback system + never has an (=)0and controller + sk + 1)s +
D is not ( (
s
1
systems with no zeros, the percent overshoot is a decreasing functio...
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 Winter '09
 IDAN
 Steady State, system S, following systems

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