ME360Homework10Answers

ME360Homework10Answers - Homework #10 (Chapter 7) Answers...

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Homework #10 (Chapter 7) Answers ME 3600 Control Systems 1. E 7.2 a) n p = 4; n z = 0; 4 branches; 4 asymptotes; 2 3 = σ a ; (deg) 315 and 225, 135, 45, = φ a ; break point at s = -0.602; angle of departure = -153.4 (deg). b) %OS = 25% 2. E 7.4 a) n p = 2; n z = 1; 2 branches; 1 asymptote at 180 (deg); angle of departure = 225 (deg). b) break point at s = -2.414 3. E 7.6 a) n p = 3; n z = 0; 3 branches; 3 asymptotes; 6.67 a σ = − ; 60,180,300 (deg) a φ = ; break point at 3.33 s =− ; exit angles from poles =180, 0, 180. b) 0 100 K ≤≤ for stability; system has no damping when 100 K = ; system is unstable when 0 K < and 100 K > . 4. E 7.8 a) n p = 3; n z = 1; 3 branches; 2 asymptotes; 4 = σ a ; (deg) 270 and 0 9 = φ a ; break points at s = 0, -3; exit angles from 90, -90, 0; K = 27. b) 3 = s . 5. E 7.9 n p = 3; n z = 0; 3 branches; 3 asymptotes; 3 2 = σ a ; (deg) 300 and , 180 , 0 6 = φ a ; departure angle = -26.56 (deg); 10 0 < < K for stability;
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This note was uploaded on 02/02/2010 for the course ME 3600 taught by Professor Kamman during the Fall '09 term at Western Michigan.

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