ME360Homework11Answers

ME360Homework11Answers - 5. E 8.8: a) corner frequencies at...

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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 Gj = =− 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 . c) For 10 K = , gain margin is +20.5 dB and phase margin is 38.1 (deg).
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Unformatted text preview: 5. E 8.8: a) corner frequencies at 2 r/s = and r/s 10 = ω . b) slope at low frequencies ( 2 r/s ± ) = 0. slope at high frequencies ( 10 r/s ² ) = -20 dB/dec. c) See page 2 for the approximate Bode magnitude plot. 6. E 8.11: a) See page 2 for the approximate Bode magnitude plot. b) M = at 10 r/s ≈ . Approximate Bode Magnitude Diagrams E 8.2 E 8.3 E 8.4 ( K = 400, a = 2) E 8.6 E 8.8 E 8.11...
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This note was uploaded on 02/02/2010 for the course ME 3620 taught by Professor Cho during the Spring '10 term at Western Michigan.

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ME360Homework11Answers - 5. E 8.8: a) corner frequencies at...

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