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Control ENG HW_Part_24

# Control ENG HW_Part_24 - shown in figure P7.7 The...

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dt dl V q q c y = - steady state equation 0 = - ys xs q q 0 = - cs ys q q writing in terms of deviation variables and taking laplace transforms ) ( ) ( ) ( s Y s q V s Y s X = - q V s s q V s X s Y = + = + = τ τ ; 1 1 1 1 ) ( ) ( 2 ) 1 ( ) ( ) 1 ( ) ( ) ( + = + = s s X s s Y s C τ τ 2 ) 1 ( 1 ) ( ) ( + = s s X s C τ s s X 1 ) ( = 2 3 6 = = = q V τ 2 ) 1 2 ( ) ( ) ( + = s s s X s C

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2 ) 2 1 ( ) 4 / 1 ( ) ( + = s s s C + = 2 ) 2 1 ( 1 1 4 1 ) ( s s s C + - + - = 2 1 1 2 1 1 2 1 1 ) ( 2 s s s C 2 2 2 1 1 ) ( t t e te t C - - - - = 3 / 61 . 0 ) ( ft salt lb t C = t = 4.04 min 7.7 Starting from first principles, derive the transfer functions H 1 (s)/Q(s) and H 2 (s)/Q(s) for the liquid
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Unformatted text preview: shown in figure P7.7. The resistance are linear and R 1 = R 2 = 1. Note that two streams are flowing from tank 1, one of which flows into tank 2. You are expected to give numerical values of the parameters and in the transfer functions and to show clearly how you derived the transfer functions ....
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Control ENG HW_Part_24 - shown in figure P7.7 The...

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