(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.
(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
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F00e6e530-9b09-45a9-bfb5-026aede9d5b5%2Fdd40cec3-3efc-4960-a40e-c57295f49f91%2F4190t8ro_processed.png&w=3840&q=75)
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F00e6e530-9b09-45a9-bfb5-026aede9d5b5%2Fdd40cec3-3efc-4960-a40e-c57295f49f91%2F8ogp6_processed.png&w=3840&q=75)
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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