HW9_solutions

# HW9_solutions - EECS 460 Winter 2008: Homework #10...

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Problem 1 EECS 460 Winter 2008: Homework #10 Solutions 1 of 13

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EECS 460 Winter 2008: Homework #10 Solutions 2 of 13
EECS 460 Winter 2008: Homework #10 Solutions 3 of 13

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3. -20 -15 -10 -5 0 5 Magnitude (dB) 10 0 10 1 -91 -90.5 -90 -89.5 -89 Phase (deg) G(s) = 1/s Frequency (rad/sec) -10 0 10 20 30 10 -1 10 0 10 1 10 2 -90 -45 0 G(s) = 20/(1+0.5s) Frequency (rad/sec) Problem 2 EECS 460 Winter 2008: Homework #10 Solutions 4 of 13
-50 0 50 Magnitude (dB) 10 -1 10 0 10 1 10 2 -180 -135 -90 Phase (deg) G(s) = 20/[s(1+0.5s)] Frequency (rad/sec) -150 -100 -50 0 50 10 10 0 10 1 10 2 10 3 -270 -225 -180 -135 -90 G(s) = 20/[s(1+0.5s)(1+0.1s)] Frequency (rad/sec) EECS 460 Winter 2008: Homework #10 Solutions 5 of 13

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-100 -50 0 50 Magnitude (dB) 10 -1 10 0 10 1 10 2 10 3 -180 -135 -90 -45 Phase (deg) G(s) = 12(1+s)/[s(1+0.5s)(1+0.1s)] Frequency (rad/sec) -150 -100 -50 0 50 10 10 0 10 1 10 2 10 3 -360 -180 0 180 360 G(s) = 100e -s /[s(s 2 +10s+100)] Frequency (rad/sec) EECS 460 Winter 2008: Homework #10 Solutions 6 of 13