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a) The Log-Magnitude plot shown in Figure 1.a of an open-loop transfer function given by, K(1 + 0.5s)(1+as) G(s)H(s): s(1 + s/8)(1+bs)(1+ s/36) = Determine K, a and b from the bode plot.

a) The Log-Magnitude plot shown in Figure 1.a of an open-loop transfer function given by, K(1 + 0.5s)(1+as) G(s)H(s): s(1 + s/8)(1+bs)(1+ s/36) = Determine K, a and b from the bode plot.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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Question No. 1 a) The Log-Magnitude plot shown in Figure 1.a of an open-loop transfer function given by, K(1 + 0.5s)(1+as) G(s)H(s): s(1 + s/8)(1+bs) (1 + s/36) Determine K, a and b from the bode plot. 0 dB/dec KIN 24 36 20 loglGl (dB) = +20 dB/dec -20 dB/dec 0 dB/dec -20 dB/dec 40 dB/dec a (rad/s) Figure 1.a: Log-Magnitude plot for question 1.a b) The open-loop transfer function of a system is given by G(s)H(s)=K/s(s+1)(s+2). Determine the system gain K for the gain crossover frequency to be 5 rad/s.
Transcribed Image Text:Question No. 1 a) The Log-Magnitude plot shown in Figure 1.a of an open-loop transfer function given by, K(1 + 0.5s)(1+as) G(s)H(s): s(1 + s/8)(1+bs) (1 + s/36) Determine K, a and b from the bode plot. 0 dB/dec KIN 24 36 20 loglGl (dB) = +20 dB/dec -20 dB/dec 0 dB/dec -20 dB/dec 40 dB/dec a (rad/s) Figure 1.a: Log-Magnitude plot for question 1.a b) The open-loop transfer function of a system is given by G(s)H(s)=K/s(s+1)(s+2). Determine the system gain K for the gain crossover frequency to be 5 rad/s.
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