# HW_4 - n and damping ratio for this system and determine...

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1 ECE 313 (Spring 2009) Homework #4 (Due: February 16, 2009, Monday, in class) Reading Assignment Reminder: Sections 4.1 – 4.6 Recommended Optional Reading: Sections 5.4-5.5 Problems: 1) (10 pts) For the following diagram, find the transfer function, ) ( ) ( ) ( s F s V s G , where ) ( s V represents the velocity of the mass. Furthermore, find the time constant of the system ) ( s G , evaluate the rise time of the system under a step input, and evaluate the DC gain of the system. 2) (10 pts) For the following circuit, find the transfer function from the input voltage ) ( s V to the inductor current ) ( s I L : ) ( ) ( ) ( s V s I s G L . Furthermore, find the natural frequency

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Unformatted text preview: n and damping ratio for this system, and determine the type of its step response (for example, overdamped or undamped, etc.). 3) (10 pts) For the second-order system 4 5 ) ( 2 s s s G , find damping ratio , natural frequency n , the settling time s T , the peak time p T , and the percent overshoot % OS under a step input. i L b 2 4) (10 pts) For each pair of second-order system specifications below, find the corresponding pole locations: (a) 2 %; 10 % s T OS seconds (b) 4 seconds; 2 p s T T seconds...
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HW_4 - n and damping ratio for this system and determine...

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