ME132_mt2_f07

# ME132_mt2_f07 - UNIVERSITY OF CALIFORNIA AT BERKELEY...

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UNIVERSITY OF CALIFORNIA AT BERKELEY Department of Mechanical Engineering ME132 Dynamic Systems and Feedback Quiz II Fall 2007 Closed Book and Closed Notes. One 8 . 5 × 11 sheet (front and back) of handwritten notes allowed. Calculators allowed, no computers. Your Name: Please answer all questions. Problem: 1 2 Total Max. Grade: 30 70 100 Grade: 1 Problem (30 points) Sketch the asymptotic approximations of the following transfer functions on the provided axis: a) G 1 ( s ) = 10 s 2 - 1 b) G 2 ( s ) = s + 10 1 - s 2 c) G 3 ( s ) = 1 s + 1 10 s + 10 1

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-2 10 -1 10 0 10 1 10 2 -40 -30 -20 -10 0 10 20 30 Magnitude (dB) 10 -2 10 -1 10 0 10 1 10 2 -180 -135 -90 -45 0 Frequency (rad/sec) Phase (deg) Figure 1: Draw the bode plot for G 1 ( s ). 10 -2 10 -1 10 0 10 1 10 2 10 3 -60 -50 -40 -30 -20 -10 0 10 20 30 10 -2 10 -1 10 0 10 1 10 2 10 3 -90 -45 0 45 90 Frequency (rad/sec) Figure 2: Draw the bode plot for G 2 ( s ). 2
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## ME132_mt2_f07 - UNIVERSITY OF CALIFORNIA AT BERKELEY...

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