Utilization of Parametric Programming and Evolutionary Computing in Optimal Control:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Abschlussarbeit Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin
Mensch und Buch Verl.
2012
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XIV, 127 S. graph. Darst. |
| ISBN: | 9783863871932 |
Internformat
MARC
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Datensatz im Suchindex
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|---|---|
| adam_text | IMAGE 1
CONTENTS
1 I N T R O D U C T I O N 1
2 O P T I M A L I T Y C O N D I T I O N S FOR O P T I M A L C O N T R O
L P R O B L E M 5
2.1 OPTIMAL CONTROL PROBLEM 5
2.1.1 PERFORMANCE CRITERION 5
2.1.2 CONSTRAINTS 7
2.2 DIRECT AND INDIRECT METHODS TO OCP 8
2.2.1 DIRECT METHODS 8
2.2.2 INDIRECT METHODS 9
2.3 OPTIMAL CONTROL PROBLEM WITH PARAMETERS 11
3 P A R A M E T R I C O P T I M I Z A T I O N FOR O P T I M A L C O N T
R O L P R O B L E M 1 5
3.1 PARAMETRIC OPTIMIZATION APPLICATION TO OPTIMAL CONTROL 16
3.2 ALGORITHM AND IMPLEMENTATION SCHEME 17
4 FIRST O R D E R M E T H O D S FOR SOLVING O P T I M A L C O N T R O L
P R O B L E M S 2 7
4.1 CONTINUOUS FORMULATION 27
4.1.1 THE STEEPEST DESCENT METHOD FOR SOLVING UNCONSTRAINED OPTIMAL
CONTROL PROBLEMS 27
4.1.2 FIRST ORDER METHOD FOR SOLVING OPTIMAL CONTROL CONSTRAINED
PROBLEMS USING PARAMETRIC OPTIMIZATION 28
4.2 DISCRETE FORMULATION 30
4.2.1 DISCRETE CONTROL PROBLEMS WITH UNCONSTRAINED CONTROL . . 30 4.2.2
DISCRETE CONTROL CONSTRAINED PROBLEMS 31
4.3 CHECKPOINTING SCHEME 33
4.3.1 REVERSAL SCHEDULES 33
5 S E C O N D O R D E R M E T H O D S FOR SOLVING O P T I M A L C O N T
R O L P R O B L E M S 3 7
5.1 CONTINUOUS FORMULATION 37
5.2 DISCRETE FORMULATION 43
5.2.1 DISCRETE CONTROL PROBLEMS WITH CONSTRAINED CONTROL . . . 43 5.3
NESTED CHECKPOINTING SCHEME 48
5.3.1 NESTED REVERSAL SCHEDULES 49
6 EVOLUTIONARY C O M P U T A T I O N T O O P T I M A L C O N T R O L P R
O B L E M S 5 1
6.1 GENETIC ALGORITHM 51
6.1.1 GALIB OVERVIEW 54
6.1.2 ADVANTAGES AND DISADVANTAGES 55
IX
HTTP://D-NB.INFO/1025058410
IMAGE 2
CONTENTS
7 N U M E R I C A L E X A M P L E S 5 7
7.1 HAVANA-HAMBURG 57
7.2 CATALYST MIXING 68
7.3 STIRRED-TANK CHEMICAL REACTOR 73
7.4 GLUCOSE MODEL 80
7.5 VAN DER POL OSCILLATOR 86
7.6 EPIDEMIC MODEL 91
7.7 CONCLUSION 97
8 S U M M A R Y A N D CONCLUSIONS 9 9
A P P E N D I X A 1 0 1
A -L NUMERICAL O U T P U T FOR CHAPTER 7 101
A P P E N D I X B 1 1 5
A-2 INITIAL VALUE SOLVERS FOR LINEAR P R O B L E M S 115
A-2.1 RICCATI TRANSFORMATION FOR LINEAR BVPS 115
A-2.2 RICCATI TRANSFORMATION FOR DISCRETISED BVPS 116
A P P E N D I X C 1 2 1
BIBLIOGRAPHY 1 2 3
X
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| author | Radwan, Amr 1978 |
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| dewey-full | 515.642 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.642 |
| dewey-search | 515.642 |
| dewey-sort | 3515.642 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Thesis Book |
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| indexdate | 2024-07-10T00:23:16Z |
| institution | BVB |
| isbn | 9783863871932 |
| language | English |
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| spelling | Radwan, Amr 1978 Verfasser (DE-588)1025705963 aut Utilization of Parametric Programming and Evolutionary Computing in Optimal Control Amr Radwan Berlin Mensch und Buch Verl. 2012 XIV, 127 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Zugl.: Berlin, Humboldt-Univ., Diss., 2012 Optimale Kontrolle (DE-588)4121428-6 gnd rswk-swf Gewöhnliche Differentialgleichung (DE-588)4020929-5 gnd rswk-swf Parametrische Optimierung (DE-588)4044615-3 gnd rswk-swf Evolutionärer Algorithmus (DE-588)4366912-8 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Gewöhnliche Differentialgleichung (DE-588)4020929-5 s Optimale Kontrolle (DE-588)4121428-6 s Parametrische Optimierung (DE-588)4044615-3 s Evolutionärer Algorithmus (DE-588)4366912-8 s DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025256378&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Radwan, Amr 1978 Utilization of Parametric Programming and Evolutionary Computing in Optimal Control Optimale Kontrolle (DE-588)4121428-6 gnd Gewöhnliche Differentialgleichung (DE-588)4020929-5 gnd Parametrische Optimierung (DE-588)4044615-3 gnd Evolutionärer Algorithmus (DE-588)4366912-8 gnd |
| subject_GND | (DE-588)4121428-6 (DE-588)4020929-5 (DE-588)4044615-3 (DE-588)4366912-8 (DE-588)4113937-9 |
| title | Utilization of Parametric Programming and Evolutionary Computing in Optimal Control |
| title_auth | Utilization of Parametric Programming and Evolutionary Computing in Optimal Control |
| title_exact_search | Utilization of Parametric Programming and Evolutionary Computing in Optimal Control |
| title_full | Utilization of Parametric Programming and Evolutionary Computing in Optimal Control Amr Radwan |
| title_fullStr | Utilization of Parametric Programming and Evolutionary Computing in Optimal Control Amr Radwan |
| title_full_unstemmed | Utilization of Parametric Programming and Evolutionary Computing in Optimal Control Amr Radwan |
| title_short | Utilization of Parametric Programming and Evolutionary Computing in Optimal Control |
| title_sort | utilization of parametric programming and evolutionary computing in optimal control |
| topic | Optimale Kontrolle (DE-588)4121428-6 gnd Gewöhnliche Differentialgleichung (DE-588)4020929-5 gnd Parametrische Optimierung (DE-588)4044615-3 gnd Evolutionärer Algorithmus (DE-588)4366912-8 gnd |
| topic_facet | Optimale Kontrolle Gewöhnliche Differentialgleichung Parametrische Optimierung Evolutionärer Algorithmus Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025256378&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT radwanamr utilizationofparametricprogrammingandevolutionarycomputinginoptimalcontrol |