ECE171A_Quiz2_2007

# ECE171A_Quiz2_2007 - I<~ Y(s 6 2j(s 6-2j R 1.2 t~ 1:0...

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Jea0 ran AO{~~701S ECE 171A, QUIZ 2, Spring 2007 Consider the system shown below. AIJVV"I"ClWi pol~ A:(40): Find K from the root locus to achieve a settling time of 8s. If there are two - solutions, give the one with the highest COn. B:(20): With the gain found in A, find the closed loop transfer function in factored form from the root locus. If some ofthe poles are too hard to locate, make a guess compatible with the root locus rules you have learned. C:(20): What is the peak time for a unit step input with the above gain? Use the dominant pole pair approximation. D:(20): What is the steady state error for a step disturbance W 2 ? What is the steady state error for a step disturbance WI? Y(s) 2.0 / ,~,.O // ~I III :'\ l\ / {·0.3 /1/ , -OJ ~ I II V / ~.o)· ,. ... ~ 1// II/ // ~.()~ ~ 1\ ..••. .... r If//~ ~. 1\ "- /I J V~ \ ~ / I /JII'. \ II 1/ \ / 1.8 1.6 , 1.4 100

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ECE171A_Quiz2_2007 - I<~ Y(s 6 2j(s 6-2j R 1.2 t~ 1:0...

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