Homework_Set_FL_09_04 - Name: _ Homework Set #4 Fall 2009...

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Homework_Set_FL_09_04 Page 1 of 6 Last printed 9/20/2009 10:18 AM Homework Set #4 Fall 2009 Control Systems I Name: ________________________________________________________ YOU MUST SHOW ALL YOUR WORK Aux_20 – For the transfer functions given below use the Final Value Theorem, )] ( ) ( [ lim lim 0 s R s sY s t ! " ! # , to determine the steady state value of the output t for a unit step input s 1 , and a ramp input 2 1 s . Answers a) Final value step = Final Value Ramp = b) Final value step = Final Value Ramp = (a) (b) Ys ss s 1 2 2 14 2 () ( ) ( ) # $ $$ # $
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Homework_Set_FL_09_04 Page 2 of 6 Last printed 9/20/2009 10:18 AM Aux-21 – For the circuit shown below, find the transfer function V 2 (s)/V 1 (s). + R2 - V 1 (t) R1 C + - V 2 (t) Answer Vs 2 1 () #
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Homework_Set_FL_09_04 Page 3 of 6 Last printed 9/20/2009 10:18 AM Aux-22 – For the circuit shown below find the transfer function ) ( ) ( 1 2 s V s V . Assume the op-amp is ideal. R 1 R 2 V 1 (s) C 1 C 2 V 2 (s) Answer Vs 2 1 () #
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Homework_Set_FL_09_04 - Name: _ Homework Set #4 Fall 2009...

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