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ME360Homework11Answers

ME360Homework11Answers - 5 E 8.8 a corner frequencies at 2...

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ME 3600 Control Systems Homework #11 (Chapter 8) Answers 1. E 8.2: a) See page 2 for the approximate Bode magnitude plot. b) ( ) dB 8 15 r/s 10 . j G = ω = ω , ( ) dB 98 29 r/s 200 . j G = ω = ω , o r/s 700 3 150 . = φ = ω . 2. E 8.3: a) See page 2 for the approximate Bode magnitude plot. b) o 28.3 r/s 180 ω φ = = − , ( ) 28.3 r/s 2.5 dB G j ω ω = = − 3. E 8.4: See page 2 for the approximate Bode magnitude plot for 400 K = and 2 a = . 4. E 8.6: a) See page 2 for the approximate Bode magnitude plot. b) 0 M = at 7.5 r/s ω . c) For 10 K = , gain margin is +20.5 dB and phase margin is 38.1 (deg).
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