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CBE / MET 433. 13 Feb 12. System Responses:. 1 st Order:. 2 nd Order:. System Responses:. System Responses:. System Responses: Over/Critically Damped. System Responses: Example. System Responses: Underdamped. System Responses: Underdamped. T = 3.142 Decay Ratio = 0.043 - PowerPoint PPT Presentation
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CBE / MET 433
13 Feb 12
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System Responses:
)()()( tXKtYdttdY
1st Order: )(1
)( sXsKsY
teAKtY 1)()()( tuAtXfor
)()()(2)(2
22 tXKtY
dttdY
dttYd
2nd Order:
)(12
)( 22 sXss
KsY
Process Response> 1 Overdamped and stable= 1 Critically damped
0 < < 1 Underdamped; oscillations fade out= 0 Undamped; oscillations continue< 0 Unstable; oscillations/response grow
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System Responses:
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System Responses:
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System Responses: Over/Critically Damped
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System Responses: Example
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System Responses: Underdamped
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System Responses: Underdamped
T = 3.142Decay Ratio = 0.043Rise Time ~ 1Settling Time = 5Overshoot ~ 20.8%
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System Responses: Underdamped
0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5
-0.05
1.38777878078145E-17
0.05
0.1
0.15
0.2
0.25
0.3
Decay R= 0.043Decay R=0.25
Time
Y(t)
= 0.4472
= 0.2154
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System Responses: Underdamped
0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5
-0.05
1.38777878078145E-17
0.05
0.1
0.15
0.2
0.25
0.3
Decay R= 0.043Decay R=0.25
Time
Y(t)
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