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exam2 - Exam#2 EEL 3657 Name gullms SS Please show all work...

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Unformatted text preview: Exam #2 EEL 3657 Name: gullms SS#: Please show all work for partial credit ( lOO points total) Problem 1. (20 points) A unity feedback system has a forward transfer function 0(3) 2 J“ (s + 2)(s + 30) a). What are the position and velocity error constants? (10 points) b). What are the steady state errors for a unit step input and for a unit ramp input? (10 points) 3: i’ 3 ‘U U Q3 E: H (w o H o W gm; m. away New/7 " Problem 2. (60 points) R(s) + For a unity feedback system shown in the ﬁgure, where 5(5 + 6)(s + 9) a) Sketch the root locus by ﬁnding: 1). asymptotes; (15 points) 2). breakaway points; (15 points) 3). jw axis crossings. (15 points) b). Find K at the jw axis crossings, and then determine for what range of K 0 grim—Loo}; zeros. the closed—loop system is stable. (15 points) : 2% ﬁgs V1“W\ 1), QWMS 1 0'01 Cbm : 190°+360°L -" h’M 1-; 40° [829° Brno ;) 01K :0 G) cls €6st 1+ ngi—éﬁirf'?) :0 I O+L‘6)‘1‘L’oi) , ,g‘ 3—0 LL=0,1,2) L). QMLQ, "’7. (“+4 CG/vmo’t (Le MW M LOWS , 17% 01M 1+ QWZO , :> S\$+lssl+§\$s+kzo M 8“ 900% Ifcjwﬂsq guﬁgm (“15M J(K) W30” +E‘M):o 9%wa 199% vea‘ M "WW3 MW {23 WW f 5% ﬂw > ‘ ° i7 ”8 VN3+§¢w=Q 1 EM) L:0,8fo, 8» MW m 0% me 0+ mm We. 80f kzglo 05% W 3w (Inn‘s crosggg 9., 47(le {mu/Cow; Q70! 20%; ML mac exf L “kayo ' s+20 Problem 3. (20 points) For the transfer function G(s)=—-—ﬁ—, sketch (5 +1)(s + 7)(s + 50) asymptotic Bode magnitude plot for each individual factors, and mark the slopes in your diagram. got/WWW“: wa)» W J ” (jw+l)(jw+7) gm») ...
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