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ECE171A_Quiz2_2008

# ECE171A_Quiz2_2008 - r ECE 171A QUIZ 2 Summer 2008 Consider...

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r ECE 171A, QUIZ 2, Summer 2008 Consider the system shown below. A:(30): First look at the inner loop---K=O. Sketch the root locus of the inner loop and find K, so that the inner loop <;=0.7. B:(40): The root locus shown below (as a function ofK) shows the complete system with the gain found in A. Find K so that the settling time is 1 second. '1~':.\". 1; WI' C:(30): Find the closed loop transfer function, Y(s)/D(s), in factored form from the root locus. Of I) Controller Process K(l + O.Ols) 10 \ t-1-1'r, .• )'(.1) + FIGUREDP7,4 Remotelycontrolled welder. Root Locus i:: ..; , •.• l 6 l)/' I" " x - ----::-// .-- ......... 4 - .-, - ~ (f) .~ -e :;:,.,.. (I ~ r-: r:: .~ E -2 -4 -- »: ---- .... -, ,. -;( -, -6 ...• " - \ \; -::: - I I I -20 -15 -1 I] -5 -l(. 0 Real .6~is

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". /'Ai y\~, 'ItAl'\~ (ft(U) TCln.g •• )tUS-q~)Gocl D~l:: 7- eee 1'1-1 ~~ , A. .~ :: 0:1- 1Z: O. jQj\ 10 -, ~,- -/,~'I q(n' - I \<-, s 10 - It~"\\ S'l.( <- J\ + \Oks j () (;( ~ A - 0 0 10 ) ~V-O S ::. a. " /1/': [O-u __ 1;. /( ~ -\ - ~, r (;J£ gj:. O. i- f) :. <tc,0 \ _~~r< I ':'\0 '. 1'-..--- I I;-~ ~j. .~ . I /l \5, - ---- tP,,~. 15-, .s.; U,TW (\. -- wr" I s' t 10 <;.<.. ,f.. (:)\(,.): . \e > (7 · I S 1 t 1O, ru ~ )-U · sl. 10 ~ Ie --:-;f 7-( V I l( · s lu--rr;'J /( <, roo " - 0 I - " lL. o <:::. ~/. (C9u I \ I :::J \;'LT')<- \••.. tLt~'tle-~.>'1

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ECE171A_Quiz2_2008 - r ECE 171A QUIZ 2 Summer 2008 Consider...

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