Density. Vocabulary Proportional Inversely proportional Ratio.
Flow Rate Control System Proportional Only Controller April 2, 2006 U.T.C. Engineering 329.
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Flow Rate Control System Proportional Only Controller April 2, 2006 U.T.C. Engineering 329
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Transcript of Flow Rate Control System Proportional Only Controller April 2, 2006 U.T.C. Engineering 329.
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Flow Rate Control System
Proportional Only Controller
April 2, 2006U.T.C.Engineering 329
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Yellow TeamJimy GeorgeJeff LawrenceTaylor MurphyJennifer Potter
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OutlineFlow System BackgroundPrevious WorkProportional ControlModelingResultsConclusions
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Flow System Setup
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Block Diagram
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Steady State Operation
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SSOC
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Step Response Results
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Frequency Response Experiment
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Bode Plots
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Model Bode Plotfu=0.95
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Model Bode PlotKcu=10
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FOPDT ParametersK = 0.24 (lb/min)/% = 0.28 sec t0 = 0.4 sec
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Closed Loop Transfer Function
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Root Locus ParametersKCD=0.08
KQD=6.6
KCU=10
fu=1.24*all units for K are % / (lb/min)
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Locations
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Results From Root LocusUltimateQuarter DecayCritically DampedUnderdampedOverdampedKc = 10Kc = 6.6Kc = 0.080.08 < Kc < 100 < Kc < 0.08*all units are % / (lb/min)
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Predicted Ultimate Frequency and Ultimate Gain
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Model Results for KCDOffset = 4.9 lb/minDecay Ratio = 0Settling Time = 0.8 sKCD = 0.10% / (lb/min)OffsetSet PointOutputSettling Time
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Model Results for KQDOffsetOffset = 1.9 lb/minDecay Ratio = 0.25Settling Time = 3.9 s KQD = 6.6%/ (lb/min)Settling TimeSet PointOutput
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Model Results for KCUOffset = 1 lb/minDecay Ratio = 1Settling Time = never KCU = 10%/ (lb/min)OutputSet PointOffset
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R(t)
C(t)
TIME
OUTPUT/SET POINT
RESPONSE
TRPOFOPD
tR(t)C(t)K=0.24tR(t)C(t)K=0.24
01515tau=0.2801515tau=0.28
0.21515to=0.40.21515to=0.4
0.41515Kc,CD=0.0641976720.41515Kc,CD=0.064197672
0.61515Kc=9.970.61515Kcu=10
0.81515t*=500.81515Kc=9.97
11515delta R=511515t*=5
1.21515R BASE=15Max M=64.851.21515delta R=50
1.41515C BASE=151.41515R BASE=15
1.61515squiggle=0.00165180721.61515Max M=49.85
1.81515E=0.73469387761.81515squiggle=0.0016518072
21515F=-31.836734693921515E=0.7346938776
2.21515G=2.04081632652.21515F=-31.8367346939
2.41515A=42.72857142862.41515G=2.0408163265
2.61515B=8.54571428572.61515A=213.6428571429
2.81515C=0.02571428572.81515B=42.7285714286
31515D=60.585714285731515C=0.0257142857
3.21515K1=0.70525819383.21515D=60.5857142857
3.41515K2=03.41515K1=3.5262909691
3.61515K3=03.61515K2 MAG50.8229490714
3.81515Kcur1=03.81515K2 ANGLE-2.5710830813
41515Kqdr2=041515a=-0.0128571429
4.21515Kcd4.21515b=7.7836719471
4.41515K1/5001.714.41515decay ratio0.99
4.61515K1/105.164.61515frequency1.2388098658
4.815154.81515offset0.3956066167
4.8515157.314.851515
4.8715151.684.871515
4.891515decay ratio0.53194073354.891515
4.911515overshoot0.39055348754.911515
4.9315150.14.931515
4.9415158.254.941515
4.951515K4.951515
4.961515Critical Decay0.14.961515
4.9715151.84.971515
4.981515Underdamped34.981515
4.9915154.84.991515
51515Underdamped551515
5.012015Quarter Decay6.65.012015
5.022015Underdamped85.022015
5.032015Ultimate105.032015
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19.012016.72837314919.012016.728373149
19.112020.857723400119.112020.8577234001
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21.012020.964508631421.012020.9645086314
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27.012014.676917662727.012014.6769176627
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28.012021.277004620628.012021.2770046206
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28.712017.41670395828.712017.416703958
28.812021.021794223828.812021.0217942238
28.912023.18236268528.912023.182362685
29.012022.659489935529.012022.6594899355
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29.212016.159528012129.212016.1595280121
29.312013.928731954929.312013.9287319549
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29.612020.763706478929.612020.7637064789
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29.812022.746004909629.812022.7460049096
29.912020.003698499729.912020.0036984997
30.012016.418718663530.012016.4187186635
30.112014.055094420330.112014.0550944203
30.212014.269103776230.212014.2691037762
30.312016.931041726630.312016.9310417266
30.412020.503634969530.412020.5036349695
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31.712014.34280848431.712014.342808484
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31.912016.485373269931.912016.4853732699
32.012019.981053496832.012019.9810534968
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33.012022.939004004333.012022.9390040043
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33.712022.29182918833.712022.291829188
33.812022.949760365233.812022.9497603652
33.912021.061888166533.912021.0618881665
34.012017.720541152934.012017.7205411529
34.112014.851194002234.112014.8511940022
34.212014.1029105834.212014.10291058
34.312015.900611378234.312015.9006113782
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34.512022.108883740234.512022.1088837402
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34.812017.976204589834.812017.9762045898
34.912015.038169007334.912015.0381690073
35.012014.11383676935.012014.113836769
35.112015.729656779335.112015.7296567793
35.212018.949783057135.212018.9497830571
35.312021.91807245235.312021.918072452
35.412022.927990060135.412022.9279900601
35.512021.40372131835.512021.403721318
35.612018.228442098735.612018.2284420987
35.712015.232622162535.712015.2326221625
35.812014.138816200535.812014.1388162005
35.912015.571231049335.912015.5712310493
36.012018.699540130836.012018.6995401308
36.112021.720172817936.112021.7201728179
36.212022.89611926936.212022.896119269
36.312021.555783150536.312021.5557831505
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37.612018.213361138137.612018.2133611381
37.712021.306251319537.712021.3062513195
37.812022.79233246637.812022.792332466
37.912021.821026509137.912021.8210265091
38.012018.957281133338.012018.9572811333
38.112015.853010576538.112015.8530105765
38.212014.29422238138.212014.294222381
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38.912016.0695182138.912016.06951821
39.012014.371387468339.012014.3713874683
39.112015.067268504539.112015.0672685045
39.212017.750784249839.212017.7507842498
39.312020.873433244139.312020.8734332441
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39.512022.033408882539.512022.0334088825
39.612019.413159606839.612019.4131596068
39.712016.289565923939.712016.2895659239
39.812014.460423829739.812014.4604238297
39.912014.974421603339.912014.9744216033
40.012017.529921142240.012017.5299211422
40.112020.651909876340.112020.6519098763
40.212022.54335271640.212022.543352716
40.312022.119565620140.312022.1195656201
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41.812022.321170217141.812022.3211702171
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42.012020.039886447242.012020.0398864472
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42.812020.231480516642.812020.2314805166
42.912017.189597304642.912017.1895973046
43.012014.924311884343.012014.9243118843
43.112014.736485875343.112014.7364858753
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43.712017.415761337643.712017.4157613376
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44.012016.55149476744.012016.551494767
44.112019.524073423744.112019.5240734237
44.212021.915153629444.212021.9151536294
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45.012021.762907166945.012021.7629071669
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46.012020.899900641146.012020.8999006411
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46.812021.04082876546.812021.040828765
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47.012015.701081249247.012015.7010812492
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48.012015.821057931748.012015.8210579317
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49.012020.904539353349.012020.9045393533
49.112022.212375983149.112022.2123759831
49.212021.396839374849.212021.3968393748
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49.712018.019687641249.712018.0196876412
49.812020.718188555949.812020.7181885559
TRPOFOPD
R(t)
C(t)
TIME
OUTPUT/SET POINT
RESPONSE
-
Proportional Only Model Results
-
Experimental Results for KCDOffset = 4.9 lb/minDecay Ratio = 0Settling Time = 0.8 sKCD = 0.10% / (lb/min)
Settling TimeOffset
Chart1
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0.4911566.451
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0.4911566.451
0.1811566.482
0.5361566.446
0.1531566.485
0.8621566.414
0.2481566.475
01566.5
1.1271566.387
0.9191566.408
0.9091566.409
0.261566.474
0.5531566.445
0.7061566.429
0.5881566.441
0.9191566.408
1.4791566.352
1.5151566.349
0.6011566.44
0.821566.418
1.4951566.351
1.0981566.39
1.8651566.313
1.1151566.389
1.4041566.36
1.7581566.324
2.0631566.294
2.5181566.248
1.5861566.341
2.2651566.273
2.7741566.223
2.4691566.253
2.5851566.241
2.3731566.263
2.6711566.233
2.0491566.295
2.1331566.287
3.1991566.18
2.981566.202
3.1911566.181
2.4121566.259
3.1891566.181
3.7861566.121
3.3031566.17
3.1361566.186
2.7961566.22
3.4281566.157
3.8951566.111
3.631566.137
3.2131566.179
4.0551566.095
3.7591566.124
3.4791566.152
4.7971566.02
4.1151566.088
4.8931566.011
4.7071566.029
4.6411566.036
4.5311566.047
5.3261565.967
5.1571565.984
5.191565.981
5.2311565.977
5.3091565.969
5.2751565.972
5.7121565.929
5.7871565.921
6.0511565.895
5.5921565.941
5.8161565.918
5.6581565.934
5.7761565.922
5.7841565.922
6.1021565.89
5.3821565.962
5.9611565.904
6.8371565.816
6.1741565.883
5.8911565.911
5.5681565.943
6.3461565.865
6.8891565.811
6.1411565.886
6.3381565.866
6.0131565.899
6.0161565.898
6.6671565.833
6.6741565.833
6.4611565.854
6.071565.893
6.5731565.843
6.8591565.814
6.4121565.859
6.2581565.874
5.7681565.923
5.4741565.953
5.7571565.924
6.3631565.864
6.2671565.873
5.511565.949
5.3261565.967
5.9451565.906
5.931565.907
5.2791565.972
5.9321565.907
5.481565.952
5.3591565.964
6.1541565.885
6.0261565.897
5.6091565.939
5.2721565.973
5.2661565.973
5.9611565.904
5.4721565.953
5.4551565.955
5.8731565.913
5.9251565.908
5.1411565.986
6.1231565.888
6.0391565.896
5.5051565.95
5.511565.949
5.8061565.919
5.8561565.914
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15.0642065.494
15.1912065.481
14.8222065.518
14.422065.558
14.4992065.55
14.952065.505
14.9432065.506
14.3952065.56
14.5042065.55
15.0962065.49
15.3872065.461
15.0582065.494
14.7272065.527
14.8942065.511
14.5962065.54
15.9242065.408
14.7482065.525
15.0142065.499
15.0452065.496
14.6532065.535
14.3912065.561
15.0012065.5
14.6252065.538
14.762065.524
14.6832065.532
14.4642065.554
14.922065.508
15.1572065.484
15.1282065.487
15.2632065.474
15.0482065.495
15.2652065.474
14.8112065.519
15.0292065.497
14.5952065.541
14.1272065.587
14.9422065.506
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14.6522065.535
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14.782065.522
15.162065.484
14.842065.516
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14.9272065.507
14.7072065.529
14.9242065.508
15.1672065.483
15.2082065.479
14.9132065.509
14.9452065.505
15.0662065.493
14.6312065.537
14.9752065.502
14.6622065.534
14.6252065.537
15.6082065.439
14.7152065.529
15.5272065.447
15.5062065.449
15.132065.487
15.2412065.476
15.4522065.455
14.852065.515
15.3252065.468
15.0022065.5
15.0782065.492
15.2142065.479
15.5612065.444
14.5422065.546
15.1392065.486
14.3752065.562
14.9652065.503
15.2212065.478
14.7962065.52
14.7922065.521
15.2872065.471
15.2832065.472
14.6622065.534
14.5082065.549
14.5512065.545
15.0812065.492
15.1122065.489
14.7972065.52
14.8132065.519
14.562065.544
14.5412065.546
14.9172065.508
15.0522065.495
15.3412065.466
14.5762065.542
14.8682065.513
14.72065.53
15.0042065.5
14.6532065.535
14.9792065.502
14.9622065.504
14.9482065.505
15.492065.451
14.9152065.508
15.1392065.486
14.4642065.554
15.2332065.477
14.882065.512
14.8632065.514
14.7332065.527
14.8592065.514
15.2652065.474
14.8532065.515
14.9082065.509
15.042065.496
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15.4682065.453
14.9662065.503
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14.8782065.512
14.9922065.501
15.1712065.483
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14.9662065.503
15.2822065.472
15.3152065.469
15.4882065.451
15.1212065.488
15.1712065.483
14.9912065.501
14.8032065.52
15.3692065.463
14.6732065.533
15.0472065.495
15.3712065.463
15.4592065.454
14.8922065.511
14.8942065.511
14.6622065.534
14.7962065.52
15.3012065.47
14.8442065.516
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14.9392065.506
15.2212065.478
14.8962065.51
14.8352065.516
14.92065.51
15.1362065.486
15.2952065.471
15.5322065.447
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15.0532065.495
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15.0032065.5
14.4222065.558
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14.8292065.517
14.5192065.548
15.6642065.434
14.5532065.545
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14.9922065.501
15.2062065.479
14.5462065.545
15.1222065.488
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14.632065.537
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15.0112065.499
15.1412065.486
15.0862065.491
14.92065.51
15.4172065.458
14.9632065.504
15.062065.494
15.3232065.468
14.5622065.544
15.0832065.492
14.892065.511
14.9782065.502
15.2952065.471
14.8892065.511
14.9992065.5
15.3172065.468
14.792065.521
15.1242065.488
15.2952065.471
15.0022065.5
15.0462065.495
14.8232065.518
14.82065.52
15.5412065.446
14.9422065.506
14.6222065.538
15.0892065.491
15.0222065.498
14.7192065.528
14.9912065.501
14.5082065.549
15.162065.484
14.9372065.506
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14.6762065.532
15.2612065.474
14.4382065.556
14.5042065.55
14.9352065.506
15.5692065.443
15.1672065.483
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14.9522065.505
14.6722065.533
15.1582065.484
14.6152065.539
15.0482065.495
14.9032065.51
15.0682065.493
14.6352065.537
14.9712065.503
14.7792065.522
15.1112065.489
15.1762065.482
14.8772065.512
15.2062065.479
15.4212065.458
15.2742065.473
14.8252065.517
15.0272065.497
14.8932065.511
15.1362065.486
14.9382065.506
15.4282065.457
15.7192065.428
15.2452065.475
14.6212065.538
14.922065.508
14.62065.54
15.0732065.493
15.5712065.443
15.0342065.497
14.5942065.541
14.8632065.514
14.9462065.505
14.9892065.501
14.852065.515
15.1072065.489
14.9922065.501
14.9382065.506
14.6642065.534
14.7722065.523
15.4142065.459
15.0662065.493
14.8982065.51
14.8142065.519
14.7572065.524
14.4572065.554
15.3322065.467
14.7062065.529
15.2842065.472
15.2122065.479
14.8782065.512
14.8522065.515
14.8812065.512
15.2382065.476
15.0482065.495
15.0262065.497
14.082065.592
15.0832065.492
14.7782065.522
15.1052065.489
14.7962065.52
14.8222065.518
15.4982065.45
14.862065.514
14.7142065.529
14.6912065.531
14.4482065.555
14.9062065.509
14.0122065.599
14.9292065.507
14.8662065.513
14.9712065.503
14.7552065.525
15.772065.423
15.2352065.476
14.3262065.567
14.8892065.511
15.7182065.428
14.562065.544
15.5220
14.77520
15.23420
14.68520
14.98420
15.20120
14.72720
15.06420
15.40220
15.20820
15.0120
15.17620
14.77820
15.33720
15.06220
14.94920
14.9220
15.2220
15.09620
15.67120
14.65420
15.41320
14.94120
14.64320
14.63220
15.12320
14.49220
14.7120
14.96920
14.60720
14.95720
14.52420
14.82820
14.96620
14.62520
15.20620
14.65320
14.53220
15.07320
15.15720
15.45720
15.21220
14.97120
15.25820
14.57720
14.79920
14.36620
14.75520
14.59720
14.92920
14.62320
14.77720
14.76220
14.43720
15.15520
15.39520
14.84120
15.04820
15.08520
15.29920
14.85620
15.0420
14.75120
15.58820
14.46820
14.71320
15.02720
14.88720
15.28620
15.01520
15.54420
15.29420
14.76620
14.7820
15.18520
14.87220
14.65820
15.11120
14.90620
14.85420
14.86520
15.17120
14.42720
14.96220
15.3920
15.15520
14.91620
15.20220
14.47420
15.33720
15.27420
15.220
14.37620
14.39820
14.83220
14.88320
15.16420
14.82720
14.95620
14.9520
15.11820
14.79520
14.79720
14.89820
15.25120
14.78720
15.40320
15.12120
15.00720
14.99220
14.29520
14.72120
15.22620
14.77520
14.62520
15.58320
15.28920
14.7720
14.48620
14.98920
14.4120
15.14320
14.82320
14.81120
14.66620
14.70120
14.76620
14.9820
15.22720
15.30220
14.89320
15.12720
15.56620
15.19620
14.42520
15.3920
15.26120
14.54720
15.17920
15.36420
14.78920
15.13920
15.46320
14.79420
14.58320
15.46320
15.42720
15.69720
14.8320
14.90220
14.4520
14.39520
14.59720
15.33920
14.94720
14.7220
15.2620
15.34420
15.56320
14.30120
15.10720
15.56620
15.23520
15.34620
14.9820
14.76320
14.62120
14.76520
15.10820
14.92620
14.98720
15.01720
15.01820
14.52720
14.84320
Output(lb/min)
SET-P(lb/min)
Input Value(%)
Time (s)
Input (%)
Output / Set Point (lb/min)
Kc = 0.1% / (lb/min)
kc=0.1
Time(sec)Input Value(%)Output(lb/min)SET-P(lb/min)UTC Engineering Labs OnLine
0.02366.5015Experimental Lab Results
0.08766.5015The University of Tennessee at Chattanooga
0.10266.5015
0.13466.4980.01515Experiment #13217
0.1566.5015Date=Apr 1 2006 10:16PM
0.16466.4750.25415Decoded Specifications:
0.17866.5015Name=Jennifer
0.19266.5015Location=Green-EMCS
0.20666.5015User-mail [email protected]
0.21966.5015System=Flow
0.23466.5015Experiment=PROPORTIONAL
0.24866.5015
0.26166.5015Length of experiment(sec)=25
0.27666.5015Controller gain(%/lb/min)=.1
0.2966.5015Input Base-Line [BIAS](%)=65
0.30366.5015Initial set-point(lb/min)=15
0.31866.5015Change in set-point(lb/min)=5
0.33266.5015Time for change in set-point(sec)=10
0.34566.5015
0.3666.5015Solenoid Valve Settings:
0.37466.5015Valve 1 is closed for 0(sec) then open for 60(sec).
0.38766.5015Valve 2 is closed for 0(sec) then open for 60(sec).
0.40166.4780.22315
0.41966.5015RESULTS FOR PROPORTIONAL FEEDBACK CONTROLLER
0.43366.5015
0.44866.5015
0.46166.4510.49115
0.47566.5015
0.48966.5015
0.50266.5015
0.51666.5015
0.5366.5015
0.54366.5015
0.55866.5015
0.57266.5015
0.58566.5015
0.59966.5015
0.61366.5015
0.62666.5015
0.6466.5015
0.65466.5015
0.66866.5015
0.68366.5015
0.73766.5015
0.80666.5015
0.8266.5015
0.83466.5015
0.84866.4510.49115
0.86266.4820.18115
0.87566.4460.53615
0.88966.4850.15315
0.90366.4140.86215
0.91766.4750.24815
0.93166.5015
0.94566.3871.12715
0.95866.4080.91915
0.97266.4090.90915
0.98666.4740.2615
166.4450.55315
1.01366.4290.70615
1.02766.4410.58815
1.04266.4080.91915
1.05566.3521.47915
1.06966.3491.51515
1.08366.440.60115
1.09666.4180.8215
1.1166.3511.49515
1.12466.391.09815
1.13766.3131.86515
1.15266.3891.11515
1.21566.361.40415
1.2366.3241.75815
1.24466.2942.06315
1.25866.2482.51815
1.27266.3411.58615
1.28666.2732.26515
1.29966.2232.77415
1.31366.2532.46915
1.32766.2412.58515
1.3466.2632.37315
1.35566.2332.67115
1.36966.2952.04915
1.38266.2872.13315
1.39666.183.19915
1.4166.2022.9815
1.42366.1813.19115
1.43866.2592.41215
1.45266.1813.18915
1.46566.1213.78615
1.47966.173.30315
1.49366.1863.13615
1.50666.222.79615
1.5266.1573.42815
1.53566.1113.89515
1.54866.1373.6315
1.56266.1793.21315
1.57666.0954.05515
1.58966.1243.75915
1.6566.1523.47915
1.66566.024.79715
1.67966.0884.11515
1.69366.0114.89315
1.70866.0294.70715
1.72166.0364.64115
1.73566.0474.53115
1.74965.9675.32615
1.76265.9845.15715
1.77665.9815.1915
1.7965.9775.23115
1.80365.9695.30915
1.81765.9725.27515
1.83265.9295.71215
1.84565.9215.78715
1.85965.8956.05115
1.87365.9415.59215
1.88665.9185.81615
1.90165.9345.65815
1.91565.9225.77615
1.92865.9225.78415
1.94265.896.10215
1.95665.9625.38215
1.96965.9045.96115
1.98365.8166.83715
1.99765.8836.17415
2.01165.9115.89115
2.02565.9435.56815
2.03965.8656.34615
2.05265.8116.88915
2.06665.8866.14115
2.0865.8666.33815
2.09365.8996.01315
2.10865.8986.01615
2.12265.8336.66715
2.13565.8336.67415
2.14965.8546.46115
2.16365.8936.0715
2.17665.8436.57315
2.19165.8146.85915
2.20565.8596.41215
2.21865.8746.25815
2.23265.9235.76815
2.24665.9535.47415
2.25965.9245.75715
2.27365.8646.36315
2.28765.8736.26715
2.30165.9495.5115
2.31565.9675.32615
2.32965.9065.94515
2.34265.9075.9315
2.35665.9725.27915
2.37165.9075.93215
2.38465.9525.4815
2.39865.9645.35915
2.41265.8856.15415
2.42565.8976.02615
2.43965.9395.60915
2.45365.9735.27215
2.46765.9735.26615
2.48165.9045.96115
2.49565.9535.47215
2.50865.9555.45515
2.52265.9135.87315
2.53665.9085.92515
2.5565.9865.14115
2.56465.8886.12315
2.57865.8966.03915
2.59165.955.50515
2.60565.9495.5115
2.61965.9195.80615
2.63265.9145.85615
2.64665.9285.71715
2.66165.8846.15815
2.67565.8586.42215
2.68965.8236.7715
2.70365.8376.62715
2.71665.8616.38715
2.7365.8876.13415
2.78665.9265.7415
2.79965.8626.38115
2.86965.797.09515
2.88365.8376.62715
2.89765.8236.76815
2.91165.8146.86115
2.92465.8076.92815
2.93865.7377.62615
2.95265.7787.21815
2.96565.7427.58315
2.9865.8126.8815
2.99465.7567.43915
3.00865.7767.24415
3.02265.7337.66515
3.03665.678.29615
3.09165.6118.88815
3.10565.6758.24715
3.1265.5689.31815
3.13365.5879.1315
3.14765.5989.0215
3.16165.5779.2315
3.22865.6368.63815
3.24365.5919.08615
3.25665.5659.34715
3.2765.5389.62315
3.28465.5849.16115
3.29765.5089.91615
3.31265.5849.15815
3.32665.44910.51415
3.33965.48610.14415
3.35365.4410.60215
3.36765.42610.73715
3.38165.45610.44415
3.39565.45310.47515
3.40965.411.00315
3.42265.46810.31815
3.43665.41710.83415
3.4565.42810.72415
3.46365.43510.64715
3.47765.39311.07315
3.49265.46510.35115
3.50565.39911.01215
3.51965.36811.3215
3.53365.40510.94615
3.54665.39411.05615
3.5665.41410.86415
3.57465.36711.32715
3.58865.42910.7115
3.60265.39111.08615
3.61665.32811.72515
3.62965.39111.09415
3.64365.44110.58915
3.65765.37111.29415
3.67265.34711.52715
3.68665.34611.53915
3.765.3911.10115
3.71365.38811.11715
3.72765.33811.61815
3.74165.39411.06315
3.75465.2912.09615
3.76865.32211.77915
3.78365.33811.62115
3.79665.38211.17815
3.8165.30711.93415
3.82465.37711.22715
3.83865.34611.53915
3.85265.33411.65815
3.86665.33211.67815
3.87965.24712.52715
3.89365.32111.79415
3.90765.26812.31715
3.9265.29712.02715
3.93465.35111.4915
3.94865.33611.64315
3.96265.33311.67315
3.97665.32611.74515
3.9965.26712.32715
4.00365.30911.90615
4.01765.29912.01415
4.03265.31411.85815
4.04565.28912.10615
4.05965.32611.74515
4.07365.30911.90615
4.08665.28112.1915
4.165.32811.72315
4.11465.35511.44815
4.12865.35311.47415
4.14265.36711.32915
4.15665.36211.38115
4.16965.34511.55415
4.18365.40710.9315
4.19765.36311.36915
4.2165.32911.71515
4.22565.31311.86915
4.23965.34611.53615
4.25265.33211.68215
4.26665.33711.63215
4.2865.26812.31615
4.29465.34811.52315
4.30865.36911.31215
4.32265.33211.68215
4.33565.31211.8815
4.34965.30811.9215
4.36365.27412.26315
4.37665.30611.9415
4.3965.23812.61615
4.40565.20512.95115
4.41865.25212.47715
4.43265.24312.5715
4.44665.25312.47115
4.4665.18513.15415
4.47465.23712.62715
4.48865.23512.65215
4.50165.20912.91315
4.51565.5299.71415
4.52965.7627.37615
4.54266.0264.74115
4.55666.1873.12715
4.57166.3241.76515
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566.5015
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5.38666.5015
5.466.5015
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