Regelungstechnik: Parameter einer Regelstrecke schätzen

Zuerst muss die Regelstrecke in der Tabelle definiert werden. Dazu wird in der Zeile der Typ des Übertragungsglieds ausgewählt. Die Parameter der einzelnen Übertragungsglieder werden dann mittels differentieller Evolution bestimmt. Es muss also vorher eine Annahme getroffen werden, welche Übertragungsglieder in der Regelstrecke enthalten sind.

Parameter der Regelstrecke

Nummer	Übertragungsglied	Parameter K	Parameter T	Parameter D	Übertragungsfunktion
1
2
3
4

Messdaten der Sprungantwort der Regelstrecke

Die realen Messdaten müssen in der Form t, u, y (Zeit, Eingangssignal, Ausgangssignal) vorliegen und in dem Textfeld eingefügt werden.

0.01, 0, 0
0.02, 0, 0
0.03, 0, 0
0.04, 0, 0
0.05, 0, 0
0.06, 0, 0
0.07, 0, 0
0.08, 0, 0
0.09, 0, 0
0.1, 0, 0
0.11, 0, 0
0.12, 0, 0
0.13, 0, 0
0.14, 0, 0
0.15, 0, 0
0.16, 0, 0
0.17, 0, 0
0.18, 0, 0
0.19, 0, 0
0.2, 0, 0
0.21, 0, 0
0.22, 0, 0
0.23, 0, 0
0.24, 0, 0
0.25, 0, 0
0.26, 0, 0
0.27, 0, 0
0.28, 0, 0
0.29, 0, 0
0.3, 0, 0
0.31, 0, 0
0.32, 0, 0
0.33, 0, 0
0.34, 0, 0
0.35, 0, 0
0.36, 0, 0
0.37, 0, 0
0.38, 0, 0
0.39, 0, 0
0.4, 0, 0
0.41, 0, 0
0.42, 0, 0
0.43, 0, 0
0.44, 0, 0
0.45, 0, 0
0.46, 0, 0
0.47, 0, 0
0.48, 0, 0
0.49, 0, 0
0.5, 0, 0
0.51, 1, 0.00036478745854688
0.52, 1, 0.0014201086681386
0.53, 1, 0.0034525580838539
0.54, 1, 0.006709828552299
0.55, 1, 0.01140129688698
0.56, 1, 0.017698917761136
0.57, 1, 0.025738397763516
0.58, 1, 0.035620620674194
0.59, 1, 0.047413294551564
0.6, 1, 0.061152791061453
0.61, 1, 0.076846147606202
0.62, 1, 0.094473203205765
0.63, 1, 0.11398883972304
0.64, 1, 0.13532530088978
0.65, 1, 0.15839456265475
0.66, 1, 0.18309072961922
0.67, 1, 0.20929243372303
0.68, 1, 0.23686521287431
0.69, 1, 0.26566384885433
0.7, 1, 0.29553464555371
0.71, 1, 0.32631763038534
0.72, 1, 0.35784866355207
0.73, 1, 0.38996144170361
0.74, 1, 0.42248938437765
0.75, 1, 0.45526739346838
0.76, 1, 0.4881334777838
0.77, 1, 0.52093023652687
0.78, 1, 0.55350619725156
0.79, 1, 0.58571700548928
0.8, 1, 0.61742646480595
0.81, 1, 0.64850742752245
0.82, 1, 0.678842537707
0.83, 1, 0.70832482931742
0.84, 1, 0.73685818353221
0.85, 1, 0.76435765035587
0.86, 1, 0.79074964051501
0.87, 1, 0.81597199447579
0.88, 1, 0.83997393611034
0.89, 1, 0.86271591912105
0.9, 1, 0.88416937479921
0.91, 1, 0.90431637005154
0.92, 1, 0.9231491848782
0.93, 1, 0.94066981863449
0.94, 1, 0.95688943445929
0.95, 1, 0.97182775121431
0.96, 1, 0.98551239215369
0.97, 1, 0.99797819934155
0.98, 1, 1.009266522562
0.99, 1, 1.0194244911295
1, 1, 1.0285042766137
1.01, 1, 1.0365623540517
1.02, 1, 1.0436587687349
1.03, 1, 1.0498564151406
1.04, 1, 1.055220334032
1.05, 1, 1.059817033184
1.06, 1, 1.0637138366109
1.07, 1, 1.0669782665863
1.08, 1, 1.069677462154
1.09, 1, 1.071877637245
1.1, 1, 1.0736435809385
1.11, 1, 1.0750382018432
1.12, 1, 1.0761221180324
1.13, 1, 1.0769532934427
1.14, 1, 1.077586721153
1.15, 1, 1.0780741534923
1.16, 1, 1.0784638784865
1.17, 1, 1.0788005417569
1.18, 1, 1.0791250126079
1.19, 1, 1.0794742927168
1.2, 1, 1.079881465535
1.21, 1, 1.0803756842586
1.22, 1, 1.0809821959997
1.23, 1, 1.0817223996075
1.24, 1, 1.0826139344385
1.25, 1, 1.0836707972606
1.26, 1, 1.0849034843972
1.27, 1, 1.0863191561691
1.28, 1, 1.0879218206737
1.29, 1, 1.0897125339544
1.3, 1, 1.0916896136515
1.31, 1, 1.0938488632874
1.32, 1, 1.0961838044265
1.33, 1, 1.0986859140562
1.34, 1, 1.1013448646571
1.35, 1, 1.1041487645726
1.36, 1, 1.1070843964394
1.37, 1, 1.1101374516038
1.38, 1, 1.1132927586225
1.39, 1, 1.116534504123
1.4, 1, 1.1198464444856
1.41, 1, 1.1232121069914
1.42, 1, 1.1266149792679
1.43, 1, 1.1300386860511
1.44, 1, 1.1334671524614
1.45, 1, 1.1368847531712
1.46, 1, 1.1402764470132
1.47, 1, 1.1436278967422
1.48, 1, 1.1469255738225
1.49, 1, 1.1501568482583
1.5, 1, 1.1533100636239
1.51, 1, 1.1563745975777
1.52, 1, 1.1593409082608
1.53, 1, 1.162200567085
1.54, 1, 1.1649462785109
1.55, 1, 1.1675718874959
1.56, 1, 1.1700723753648
1.57, 1, 1.1724438449114
1.58, 1, 1.17468349559
1.59, 1, 1.176789589689
1.6, 1, 1.1787614104054
1.61, 1, 1.1805992127543
1.62, 1, 1.1823041682531
1.63, 1, 1.1838783043149
1.64, 1, 1.1853244392766
1.65, 1, 1.1866461139629
1.66, 1, 1.187847520665
1.67, 1, 1.1889334303756
1.68, 1, 1.1899091190838
1.69, 1, 1.1907802938916
1.7, 1, 1.1915530196601
1.71, 1, 1.1922336468482
1.72, 1, 1.192828741147
1.73, 1, 1.1933450154584
1.74, 1, 1.1937892647089
1.75, 1, 1.1941683039294
1.76, 1, 1.1944889099736
1.77, 1, 1.19475776719
1.78, 1, 1.1949814173012
1.79, 1, 1.1951662136931
1.8, 1, 1.1953182802575
1.81, 1, 1.1954434748815
1.82, 1, 1.1955473576283
1.83, 1, 1.1956351636037
1.84, 1, 1.1957117804626
1.85, 1, 1.1957817304679
1.86, 1, 1.1958491569757
1.87, 1, 1.1959178151896
1.88, 1, 1.195991066997
1.89, 1, 1.1960718796716
1.9, 1, 1.1961628282077
1.91, 1, 1.1962661010312
1.92, 1, 1.1963835088158
1.93, 1, 1.1965164961261
1.94, 1, 1.1966661555951
1.95, 1, 1.1968332443436
1.96, 1, 1.1970182023446
1.97, 1, 1.1972211724376
1.98, 1, 1.1974420217016
1.99, 1, 1.1976803639015
2, 1, 1.1979355827316
2.01, 1, 1.1982068555897
2.02, 1, 1.1984931776288
2.03, 1, 1.198793385845
2.04, 1, 1.1991061829794
2.05, 1, 1.1994301610234
2.06, 1, 1.1997638241385
2.07, 1, 1.2001056108151
2.08, 1, 1.2004539151181
2.09, 1, 1.2008071068811
2.1, 1, 1.2011635507328
2.11, 1, 1.2015216238556
2.12, 1, 1.2018797323972
2.13, 1, 1.2022363264704
2.14, 1, 1.2025899136962
2.15, 1, 1.2029390712617
2.16, 1, 1.2032824564781
2.17, 1, 1.2036188158408
2.18, 1, 1.2039469926068
2.19, 1, 1.2042659329172
2.2, 1, 1.2045746905048
2.21, 1, 1.2048724300372
2.22, 1, 1.205158429154
2.23, 1, 1.2054320792677
2.24, 1, 1.2056928852021
2.25, 1, 1.2059404637495
2.26, 1, 1.2061745412323
2.27, 1, 1.2063949501587
2.28, 1, 1.2066016250635
2.29, 1, 1.2067945976284
2.3, 1, 1.2069739911755
2.31, 1, 1.2071400146273
2.32, 1, 1.2072929560266
2.33, 1, 1.207433175706
2.34, 1, 1.2075610991948
2.35, 1, 1.2076772099493
2.36, 1, 1.2077820419848
2.37, 1, 1.2078761724876
2.38, 1, 1.2079602144768
2.39, 1, 1.2080348095836
2.4, 1, 1.2081006210078
2.41, 1, 1.2081583267064
2.42, 1, 1.2082086128649
2.43, 1, 1.2082521676936
2.44, 1, 1.2082896755866
2.45, 1, 1.2083218116753
2.46, 1, 1.2083492368025
2.47, 1, 1.2083725929361
2.48, 1, 1.2083924990395
2.49, 1, 1.2084095474053
2.5, 1, 1.2084243004591
2.51, 1, 1.2084372880323
2.52, 1, 1.2084490050989
2.53, 1, 1.208459909969
2.54, 1, 1.2084704229246
2.55, 1, 1.2084809252847
2.56, 1, 1.2084917588781
2.57, 1, 1.2085032259047
2.58, 1, 1.2085155891609
2.59, 1, 1.2085290726039
2.6, 1, 1.2085438622272
2.61, 1, 1.2085601072205
2.62, 1, 1.2085779213844
2.63, 1, 1.2085973847692
2.64, 1, 1.2086185455109
2.65, 1, 1.2086414218322
2.66, 1, 1.2086660041811
2.67, 1, 1.2086922574771
2.68, 1, 1.2087201234387
2.69, 1, 1.2087495229645
2.7, 1, 1.2087803585433
2.71, 1, 1.2088125166677
2.72, 1, 1.2088458702306
2.73, 1, 1.2088802808823
2.74, 1, 1.2089156013293
2.75, 1, 1.2089516775582
2.76, 1, 1.2089883509676
2.77, 1, 1.2090254603956
2.78, 1, 1.2090628440314
2.79, 1, 1.2091003411988
2.8, 1, 1.2091377940065
2.81, 1, 1.209175048856
2.82, 1, 1.2092119578048
2.83, 1, 1.2092483797801
2.84, 1, 1.2092841816428
2.85, 1, 1.2093192391015
2.86, 1, 1.2093534374774
2.87, 1, 1.2093866723245
2.88, 1, 1.2094188499064
2.89, 1, 1.2094498875378
2.9, 1, 1.209479713794
2.91, 1, 1.2095082685969
2.92, 1, 1.2095355031838
2.93, 1, 1.2095613799683
2.94, 1, 1.2095858723004
2.95, 1, 1.2096089641365
2.96, 1, 1.2096306496262
2.97, 1, 1.2096509326284
2.98, 1, 1.2096698261623
2.99, 1, 1.2096873518058
3, 1, 1.2097035390498
3.01, 1, 1.2097184246159
3.02, 1, 1.2097320517483
3.03, 1, 1.2097444694876
3.04, 1, 1.2097557319346
3.05, 1, 1.209765897511
3.06, 1, 1.2097750282259
3.07, 1, 1.2097831889532
3.08, 1, 1.2097904467263
3.09, 1, 1.2097968700566
3.1, 1, 1.2098025282793
3.11, 1, 1.2098074909323
3.12, 1, 1.2098118271703
3.13, 1, 1.2098156052192
3.14, 1, 1.2098188918722
3.15, 1, 1.2098217520298
3.16, 1, 1.2098242482849
3.17, 1, 1.2098264405553
3.18, 1, 1.2098283857626
3.19, 1, 1.2098301375578
3.2, 1, 1.209831746094
3.21, 1, 1.2098332578442
3.22, 1, 1.209834715464
3.23, 1, 1.2098361576968
3.24, 1, 1.2098376193203
3.25, 1, 1.2098391311315
3.26, 1, 1.2098407199685
3.27, 1, 1.2098424087666
3.28, 1, 1.2098442166449
3.29, 1, 1.2098461590218
3.3, 1, 1.2098482477567
3.31, 1, 1.209850491313
3.32, 1, 1.2098528949422
3.33, 1, 1.2098554608834
3.34, 1, 1.2098581885779
3.35, 1, 1.2098610748936
3.36, 1, 1.2098641143583
3.37, 1, 1.2098672993979
3.38, 1, 1.2098706205783
3.39, 1, 1.2098740668472
3.4, 1, 1.2098776257739
3.41, 1, 1.2098812837866
3.42, 1, 1.209885026402
3.43, 1, 1.2098888384491
3.44, 1, 1.209892704283
3.45, 1, 1.2098966079887
3.46, 1, 1.2099005335726
3.47, 1, 1.2099044651421
3.48, 1, 1.2099083870715
3.49, 1, 1.2099122841536
3.5, 1, 1.2099161417366
3.51, 1, 1.2099199458467
3.52, 1, 1.2099236832952
3.53, 1, 1.2099273417707
3.54, 1, 1.2099309099162
3.55, 1, 1.2099343773921
3.56, 1, 1.2099377349243
3.57, 1, 1.2099409743395
3.58, 1, 1.209944088586
3.59, 1, 1.2099470717439
3.6, 1, 1.2099499190215
3.61, 1, 1.2099526267426
3.62, 1, 1.2099551923226
3.63, 1, 1.209957614236
3.64, 1, 1.2099598919754
3.65, 1, 1.2099620260038
3.66, 1, 1.209964017699
3.67, 1, 1.209965869295
3.68, 1, 1.2099675838164
3.69, 1, 1.209969165011
3.7, 1, 1.2099706172791
3.71, 1, 1.2099719456006
3.72, 1, 1.2099731554616
3.73, 1, 1.2099742527806
3.74, 1, 1.2099752438351
3.75, 1, 1.2099761351891
3.76, 1, 1.2099769336228
3.77, 1, 1.2099776460642
3.78, 1, 1.2099782795235
3.79, 1, 1.2099788410312
3.8, 1, 1.209979337579
3.81, 1, 1.2099797760655
3.82, 1, 1.2099801632454
3.83, 1, 1.2099805056834
3.84, 1, 1.2099808097128
3.85, 1, 1.2099810813983
3.86, 1, 1.209981326504
3.87, 1, 1.2099815504655
3.88, 1, 1.2099817583675
3.89, 1, 1.2099819549251
3.9, 1, 1.2099821444702
3.91, 1, 1.2099823309416
3.92, 1, 1.2099825178799
3.93, 1, 1.2099827084257
3.94, 1, 1.2099829053218
3.95, 1, 1.2099831109186
3.96, 1, 1.2099833271829
3.97, 1, 1.2099835557094
3.98, 1, 1.2099837977346
3.99, 1, 1.2099840541535
4, 1, 1.2099843255374
4.01, 1, 1.2099846121545

Parameter der Simulation der Sprungantwort

Sprunghöhe
Sprungzeit
Endzeit der Simulation
Maximale Anzahl Iterationsschritte

Download Sourcecode der hier verwendeten Algorithmen.

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