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PracticeProblemsMidterm

# 01 and hence its effect is zero at 05 the dominant

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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 closed-loop 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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