Adaptive discretization methods for the efficient solution of dynamic optimization problems:
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Abschlussarbeit Buch |
| Sprache: | English |
| Veröffentlicht: |
Düsseldorf
VDI-Verl.
2005
|
| Ausgabe: | Als Ms. gedr. |
| Schriftenreihe: | Fortschritt-Berichte VDI
Reihe 3, Verfahrenstechnik ; 829 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XIV, 179 S. Ill., graph. Darst. 21 cm |
Internformat
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| 100 | 1 | |a Schlegel, Martin |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Adaptive discretization methods for the efficient solution of dynamic optimization problems |c Martin Schlegel |
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| 264 | 1 | |a Düsseldorf |b VDI-Verl. |c 2005 | |
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| 490 | 1 | |a Fortschritt-Berichte VDI : Reihe 3, Verfahrenstechnik |v 829 | |
| 490 | 0 | |a Berichte aus dem Lehrstuhl für Prozesstechnik RWTH Aachen | |
| 502 | |a Zugl.: Aachen, Techn. Hochsch., Diss., 2004 | ||
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Datensatz im Suchindex
| DE-BY-862_location | 2000 |
|---|---|
| DE-BY-FWS_call_number | 2000/ZQ 5050 S339 |
| DE-BY-FWS_katkey | 715240 |
| DE-BY-FWS_media_number | 083000521185 |
| _version_ | 1824553811171082242 |
| adam_text | ADAPTIVE DISCRETIZATION METHODS FOR THE EFFICIENT SOLUTION OF DYNAMIC
OPTIMIZATION PROBLEMS VON DER FAKULTAT FIIR MASCHINENWESEN DER
RHEINISCH-WESTFALISCHEN TECHNISCHEN HOCHSCHULE AACHEN ZUR ERIANGUNG DES
AKADEMISCHEN GRADES EINES DOKTORS DER INGENIEURWISSENSCHAFTEN GENEHMIGTE
DISSERTATION VORGELEGT VON MARTIN SCHLEGEL AUS KOLN BERICHTER:
UNIV.-PROF. DR.-LNG. WOLFGANG MARQUARDT UNIV.-PROF DR. RER. NAT.
WOLFGANG DAHMEN TAF ULB DARMSTADT ZEMBER 2004 16241644
FORTSCHRITT-BERICHTE VDI REIHE 3 VERFAHRENSTECHNIK DIPL.-LNG. MARTIN
SCHLEGET, AACHEN NR. 829 ADAPTIVE DISCRETIZATION METHODS FOR THE
EFFICIENT SOLUTION OF DYNAMIC OPTIMIZATION PROBLEMS BERICHTE AUS DEM
LEHRSTUHL FUR PROZESSTECHNIK RWTH AACHEN CONTENTS NOTATION IX
KURZFASSUNG XIII 1 INTRODUCTION 1 2 FUNDAMENTALS OF DYNAMIC OPTIMIZATION
5 2.1 DYNAMIC OPTIMIZATION IN CHEMICAL ENGINEERING 5 2.2 PROCESS
MODELING 6 2.3 DIFFERENTIAL-ALGEBRAIC EQUATION SYSTEMS 7 2.4 PROBLEM
FORMULATION 9 2.5 NECESSARY CONDITIONS OF OPTIMALITY 11 2.5.1 SOLUTION
STRUCTURE 13 2.5.2 EXTENSION TO DAE SYSTEMS 15 2.6 NUMERICAL SOLUTION
METHODS 16 2.6.1 DIRECT SEQUENTIAL APPROACH 19 2.6.2 B-SPLINE
REPRESENTATION OF CONTROL PROFILES 20 2.6.3 REFORMULATION AS NLP PROBLEM
21 2.6.4 STATE PATH CONSTRAINTS 22 2.6.5 SOLUTION OF THE NLP PROBLEM 25
2.7 IMPLEMENTATION 28 2.8 FACTORS INFLUENCING THE COMPUTATIONAL
PERFORMANCE 29 2.8.1 SIZE AND COMPLEXITY OF THE DYNAMIC PROCESS MODEL 30
2.8.2 ACCURACY OF THE NUMERICAL INTEGRATION 31 2.8.3 RESOLUTION OF THE
CONTROL VARIABLE PROFILES 31 2.9 SUMMARY AND DISCUSSION 32 VI CONTENTS 3
NUMERICAL INTEGRATION 34 3.1 NUMERICAL METHODS FOR THE SOLUTION OF
DAE-IVPS 34 3.1.1 BDF METHODS 34 3.1.2 LINEARLY-IMPLICIT EULER
EXTRAPOLATION 35 3.2 NUMERICAL METHODS FOR THE COMPUTATION OF
FIRST-ORDER SENSITIVITIES 38 3.2.1 BDF METHODS FOR THE SOLUTION OF
SENSITIVITY EQUATIONS 40 3.2.2 EXTENSION OF THE LINEARLY-IMPLICIT EULER
EXTRAPOLATION FOR SENSITIVITY ANAL- YSIS 41 3.3 EMBEDDING THE INITIAL
VALUE SOLVER INTO THE DYNAMIC OPTIMIZER 45 3.3.1 CONSISTENT
INITIALIZATION 45 3.3.2 INITIAL STEPSIZE STRATEGY 46 3.4 EXAMPLE 48 3.5
FURTHER IMPROVEMENTS OF THE SLIMEX IMPLEMENTATION 53 3.5.1 MONITORING
THE SENSITIVITY ACCURACY 53 3.5.2 REUSE OF LU DECOMPOSITIONS 54 3.5.3
STAGGERED STATE AND SENSITIVITY INTEGRATION 55 3.6 LINKING INTEGRATION
AND OPTIMIZATION TOLERANCES 56 3.7 SUMMARY AND DISCUSSION 57 4
MULTISCALE ADAPTATION TECHNIQUES 58 4.1 BACKGROUND 58 4.2
MULTIRESOLUTION METHODS AND WAVELETS 60 4.3 ADAPTIVE REFINEMENT STRATEGY
65 4.3.1 GRID POINT ELIMINATION 66 4.3.2 GRID POINT INSERTION 67 4.3.3
REFINED INDEX SET 68 4.3.4 POINTWISE EVALUATION OF STATE PATH
CONSTRAINTS 69 4.3.5 CONVERGENCE PROPERTIES AND STOPPING CRITERION 70
4.3.6 WARM START OF THE OPTIMIZER 72 4.3.7 SUMMARY OF THE ADAPTIVE
ALGORITHM 73 4.3.8 ALTERNATIVE APPROACH: SENSITIVITY-BASED REFINEMENT 74
4.4 EXAMPLES 75 4.5 DISCUSSION 91 5 AUTOMATIC CONTROL STRUCTURE
DETECTION AND REPARAMETERIZATION 95 5.1 BACKGROUND 95 CONTENTS VII 5.2
AUTOMATIC DETECTION OF THE SWITCHING STRUCTURE 96 5.3 STEP 2: STRUCTURE
DETECTION ALGORITHM 98 5.3.1 STATE PATH CONSTRAINTS 99 5.3.2 CONTROL
VARIABLE TYPES 99 5.3.3 CONTROL MATCHING 100 5.3.4 ALGORITHMIC STEPS OF
THE STRUCTURE DETECTION 102 5.3.5 AVOIDING REDUNDANT ARCS 105 5.3.6
ALTERNATIVE APPROACH: WAVELET-BASED DISCONTINUITY DETECTION 106 5.4 STEP
3: REPARAMETERIZATION AS A MULTI-STAGE PROBLEM 107 5.4.1 FORMULATION 1:
FREE INITIAL STATE VALUES 107 5.4.2 FORMULATION 2: CONTINUOUS STATE
VARIABLES 109 5.4.3 ALTERNATIVE FORMULATION FOR PATH-CONSTRAINED ARCS
110 5.5 TECHNICAL DETAILS ILL 5.5.1 INITIAL GUESS FOR THE MULTI-STAGE
SOLUTION ILL 5.5.2 SCALING 112 5.5.3 IMPLEMENTATION 113 5.6 EXAMPLES 113
5.7 DISCUSSION 121 6 LINKING ADAPTATION AND REPARAMETERIZATION 124 6.1
ADAPTATION OF THE SINGLE-STAGE SOLUTION 124 6.2 ADAPTATION OF THE
MULTI-STAGE SOLUTION 126 6.3 UNIFIED ADAPTATION FRAMEWORK 127 6.4
EXAMPLES 127 6.5 DISCUSSION 138 7 EXTENSIONS TO ON-LINE APPLICATIONS 139
7.1 APPLICATION IN NCO TRACKING 140 7.2 APPLICATION IN DYNAMIC REAL-TIME
OPTIMIZATION 141 7.2.1 MOVING HORIZON OPTIMIZATION 141 7.2.2
REPARAMETERIZED MULTI-STAGE SOLUTION IN AN ON-LINE CONTEXT 144 7.2.3
IMPLEMENTATION 145 7.3 EXAMPLE 146 7.4 DISCUSSION 150 8 SUMMARY AND
CONCLUSIONS 152 VIII CONTENTS A EXAMPLE PROBLEMS 156 A.I ISOTHERMAL
SEMI-BATCH REACTOR PROBLEM 156 A.2 PARK-RAMIREZ BIOREACTOR 157 A.3
NON-ISOTHERMAL SEMI-BATCH REACTOR PROBLEM 158 A.4 INDUSTRIAL
POLYMERIZATION PROCESS 160 B DETAILED RESULTS OF ADAPTIVE REFINEMENT 163
BIBLIOGRAPHY 168
|
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| author | Schlegel, Martin |
| author_facet | Schlegel, Martin |
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| discipline | Chemie / Pharmazie Mathematik Mess-/Steuerungs-/Regelungs-/Automatisierungstechnik / Mechatronik |
| edition | Als Ms. gedr. |
| format | Thesis Book |
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| id | DE-604.BV019726037 |
| illustrated | Illustrated |
| indexdate | 2025-02-20T06:41:48Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-013053068 |
| oclc_num | 76734293 |
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| physical | XIV, 179 S. Ill., graph. Darst. 21 cm |
| publishDate | 2005 |
| publishDateSearch | 2005 |
| publishDateSort | 2005 |
| publisher | VDI-Verl. |
| record_format | marc |
| series | Fortschritt-Berichte VDI |
| series2 | Fortschritt-Berichte VDI : Reihe 3, Verfahrenstechnik Berichte aus dem Lehrstuhl für Prozesstechnik RWTH Aachen |
| spellingShingle | Schlegel, Martin Adaptive discretization methods for the efficient solution of dynamic optimization problems Fortschritt-Berichte VDI Dynamische Optimierung (DE-588)4125677-3 gnd Diskretisierungsverfahren (DE-588)4648250-7 gnd |
| subject_GND | (DE-588)4125677-3 (DE-588)4648250-7 (DE-588)4113937-9 |
| title | Adaptive discretization methods for the efficient solution of dynamic optimization problems |
| title_auth | Adaptive discretization methods for the efficient solution of dynamic optimization problems |
| title_exact_search | Adaptive discretization methods for the efficient solution of dynamic optimization problems |
| title_full | Adaptive discretization methods for the efficient solution of dynamic optimization problems Martin Schlegel |
| title_fullStr | Adaptive discretization methods for the efficient solution of dynamic optimization problems Martin Schlegel |
| title_full_unstemmed | Adaptive discretization methods for the efficient solution of dynamic optimization problems Martin Schlegel |
| title_short | Adaptive discretization methods for the efficient solution of dynamic optimization problems |
| title_sort | adaptive discretization methods for the efficient solution of dynamic optimization problems |
| topic | Dynamische Optimierung (DE-588)4125677-3 gnd Diskretisierungsverfahren (DE-588)4648250-7 gnd |
| topic_facet | Dynamische Optimierung Diskretisierungsverfahren Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013053068&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV001897067 |
| work_keys_str_mv | AT schlegelmartin adaptivediscretizationmethodsfortheefficientsolutionofdynamicoptimizationproblems |
Inhaltsverzeichnis
THWS Schweinfurt Zentralbibliothek Lesesaal
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2000 ZQ 5050 S339 |
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| Exemplar 1 | ausleihbar Verfügbar Bestellen |