(1+0.5s) 5² 1 1. Consider the transfer functions: (a) GH (s) = (b) GH(s)=- (1+0.5s)(1+2s) (1) Sketch the polar plot of the frequency response for the transfer functions. (2) Sketch the Bode diagram representation of the frequency response for the transfer functions.

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1. Consider the transfer functions: (a) GH (s) =
(b) GH(s) =
(1+0.5s)(1+2s)
(1) Sketch the polar plot of the frequency response for the transfer functions.
(2) Sketch the Bode diagram representation of the frequency response for the transfer
functions.
2. The Bode diagram of a closed-loop film transport system. T(s), is shown in the
following Figure. Assume that the system transfer function. T(s), has two dominant
complex conjugate poles. (a) Determine the best second-order model for the system. (b)
Determine the system bandwidth. (c) Predict the percent overshoot and settling time (2%
criterion) for a step input
20 log|T(jw), dB
20
10
0
-10
-20
-30
-40
-50
10-1
(1+0.5s)
S²
10⁰
Frequency, w
10¹
Transcribed Image Text:1 1. Consider the transfer functions: (a) GH (s) = (b) GH(s) = (1+0.5s)(1+2s) (1) Sketch the polar plot of the frequency response for the transfer functions. (2) Sketch the Bode diagram representation of the frequency response for the transfer functions. 2. The Bode diagram of a closed-loop film transport system. T(s), is shown in the following Figure. Assume that the system transfer function. T(s), has two dominant complex conjugate poles. (a) Determine the best second-order model for the system. (b) Determine the system bandwidth. (c) Predict the percent overshoot and settling time (2% criterion) for a step input 20 log|T(jw), dB 20 10 0 -10 -20 -30 -40 -50 10-1 (1+0.5s) S² 10⁰ Frequency, w 10¹
Phase (degrees)
0
<-20
-40
-60
-80
-100
-120
- 140
-160
- 180
10-1
Phase plot
10⁰
Frequency, w
10¹
Transcribed Image Text:Phase (degrees) 0 <-20 -40 -60 -80 -100 -120 - 140 -160 - 180 10-1 Phase plot 10⁰ Frequency, w 10¹
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