Final_F09

# Final_F09 - OM“ EE3530 Final Exam (Friday, December 8,...

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Unformatted text preview: OM“ EE3530 Final Exam (Friday, December 8, 2009) 1. (4pts) Find the transfer function from r to y of the following system. 2. (Spts) Consider the following feedback system. Find the range of K>O so that the magnitude of the steady state response of y(t) w. r. t. disturbance input d(t)=sin(t) is no more than 0.1. What is the maximum possible damping ratio this system can achieve while satisfying the above condition? 3. (lopts) Sketch the root locus for the following systems (a) With the open loop transfer function _ ﬂ L1(S) _ (s—I)(s+2))(s+5) (b) With the open loop transfer function __ K(s+5) 19(8) _ (5—1)(s+2)(s+3) (Minimum requirement: sketch the root locus, find the root locus on real axis, the asymptotes, jw-axis crossing, and the critical value of K so that the system is stable if applicable). 4. (Spts) Find a state space description for the following circuit. Then find the transfer function from U(t) to V0(t). Mata-1&5 :; : GI GL+£tér4+G1ﬂr+ fqégr )‘ﬁﬁﬁghélg H’énélhgr} 2:) Time SWIM its S+¢VW~Q O v 01L+‘);O J— __\_d yCS): L __ S‘t‘f h S “a K J- ” 81”“ ‘ 52+S+ m inf-T9“! . sway K mmjmwg- «Hm date/«41 wk mama Wm w 3".'}. ohms-M- 150%ng " "4+3 3 \J (16014—1 2 1+5? 2’ > 03:5 no 2% K? a gm) H A C ﬂ 51m? We” ; [SH‘XS‘HO (Si-YB fKLM—g) L5) 2 (5—1 1C£+23C5ﬁ waging) : aw) \$493“) 1+ MGM 4+5 Jam "2:; b i 1 ‘ 1+ \ H- {L} +44% 0) m) 212\$,“ W V° ) M“ SMbﬁow-quédk PM“ U) M3 (L) :bﬁ 3+23Cs+0 ﬁll Ia 2U ...
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## This note was uploaded on 02/03/2012 for the course EE 3530 taught by Professor Chen during the Fall '07 term at LSU.

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Final_F09 - OM“ EE3530 Final Exam (Friday, December 8,...

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