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# Sol_Test2 - Name MAE 340 Test II Q ”3 Q Transiationnl...

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Unformatted text preview: Name MAE 340: Test II March 25, 2003 Q: ”3 Q: Transiationnl ' Rotational FM ‘ F" I. d , ~M transducer ~ F' T‘ transducer F" a 1).)" "3 Tr 3 9ft: ”as“ \$09: I 33 2 (‘1' P '33 5 ‘0' Pﬂgtm v.35"; F [1% 1': 923’; {a} (’53 Number 1-3 are 25 points each. For each system shown, derive a state-space model in the standard form: quq +Bu , y=Cq +Du You must define the vectors q , u , and y , and the matrices A, B, C, D. lnput is the voltage source e5 Outputs are the voltage drop from node 1 to ground, and the current through the capacitor. Input is the pump pressure source P5 Outputs are the flow rate out the pipe end, and the flow rate through R1 Input is the fluid flow rate Q5 Outputs are the voltage through the electrical inductor, and the fluid flow rate through-the F—M transducer (15 pts) Find the conditions on the design variable k to insure that the settling time is less than 1 second, if the system’s characteristic equation is given by s3+kg2 +10s+4=0 (10 pts): Find the transfer function for a system modeled by 2'6 + 35c + x = 21 +13 , if the output is given by 45c ,7 Input is the voltage source es Outputs are the voltage drop from node i to ground, and the current through the capacitor. input is the pump pressure source PS Outputs are the flow rate out the pipe end, and the flow rate through R] input is the fluid flow rate Q5 Outputs are the voltage through the electrical inductor, and the fluid flow rate through the F—M transducer (15 pts) Find the conditions on the design variable k to insure that the settling time is less than 1 second, if the system’s characteristic equation is given by s3 +k'5l103+4=0 (10 pts): Find the transfer function for a system modeled by )‘c‘ + 35c + x 2 2t +13 , if the output is given by 45c ‘ ,i -L f O ”QR. C‘, O ( ‘ R: r w L I A VT— 0 0 SM . 3x3 I .1. O O ~6’2‘L CL‘ZL d L O 0‘" _, o ‘ g R A: Q « \ O 0 2M 0 : is 1/4 )FL Ams Slain? +0 _,4 3'4 ’ sj/(zﬂlmy a4 (540 Slia‘L/é‘ irks ~81<5+ {(ok (3'4) : 33” [251+ 435~(94_ + m #40 + if 33+(K‘l151+(§6*\$’l<)s Huck—mo) x. (<>/1 K< 1% RW- I‘M/AOSSIMIL MSMK : u m : PM) mg. OH x .. g xawsm was 2%) as}: ‘ input is the voltage source es Outputs are the voltage drop from node i to ground, and the current through the capacitor. Input is the pump pressure source PS Outputs are the flow rate out the pipe end, and the flow rate through R1 input is the fluid flow rate QS Outputs are the voltage through the electrical inductor, and the fluid flow rate through the F—M transducer (15 pts) Find the conditions on the design variable k to insure that the settling time is less than 1 second, if the system’s characteristic equation is given by s3+kf+103+4=0 (10 pts): Find the transfer function for a system modeled by 56 + 35c + x = 21‘ +13 , if the output is given by 45c c '5 ‘ i ”Z ‘QC, i L 6 AL, ‘ Ll L 5‘ _ l 8 ALL L2 Li a ‘ LI; 80 ‘ C L ”LXI 373+ {(51% IOS 1L 4 \$15496 43k : Z Sag/MAO M- A. I ,- A I) C ‘ /4 yep AWE " 5/.“ij ‘5 M 4 3‘4 ' N S‘s/(257“ + 485 -- Q4 (9-4): 35ch _ Jr L51 ~ ﬂ“ wk ‘ (9—403: 53~1131+435~Q+ + H15 “40 + 4r 35414 a 51+ (5" mm) s + (m we) 797: K < i? 'W' 1014/3035} M6 ...
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Sol_Test2 - Name MAE 340 Test II Q ”3 Q Transiationnl...

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