Fast numerical methods for mixed-integer nonlinear model-predictive control:
Saved in:
| Main Author: | |
|---|---|
| Format: | Thesis Book |
| Language: | English |
| Published: |
Wiesbaden
Vieweg + Teubner
2011
|
| Edition: | 1. ed. |
| Series: | Advances in numerical mathematics
Vieweg + Teubner Research |
| Subjects: | |
| Online Access: | Zusätzliche Angaben Inhaltsverzeichnis |
| Physical Description: | XX, 367 S. graph. Darst. |
| ISBN: | 9783834815729 3834815721 |
Staff View
MARC
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| 245 | 1 | 0 | |a Fast numerical methods for mixed-integer nonlinear model-predictive control |c Christian Kirches |
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Record in the Search Index
| _version_ | 1804148609776615424 |
|---|---|
| adam_text | IMAGE 1
CONTENTS
FIGURES, TABLES, AND ACRONYMS XIII
0 INTRODUCTION 1
1 THE DIRECT MULTIPLE SHOOTING METHOD FOR OPTIMAL CONTROL 13 1.1 PROBLEM
FORMULATIONS 13
1.2 SOLUTION METHODS FOR OPTIMAL CONTROL PROBLEMS 18
1.3 THE DIRECT MULTIPLE SHOOTING METHOD FOR OPTIMAL CONTROL .. 24 1.4
SUMMARY 29
2 MIXED-INTEGER OPTIMAL CONTROL 31
2.1 PROBLEM FORMULATIONS 31
2.2 MIXED-INTEGER NONLINEAR PROGRAMMING 32
2.3 OUTER CONVEXIFICATION AND RELAXATION 41
2.4 ROUNDING STRATEGIES 48
2.5 SWITCH COSTS 53
2.6 SUMMARY 60
3 CONSTRAINED NONLINEAR PROGRAMMING 61
3.1 CONSTRAINED NONLINEAR PROGRAMMING 61
3.2 SEQUENTIAL QUADRATIC PROGRAMMING 66
3.3 DERIVATIVE GENERATION 74
3.4 INITIAL VALUE PROBLEMS AND SENSITIVITY GENERATION 80
3.5 SUMMARY 87
4 MIXED-INTEGER REAL-TIME ITERATIONS 89
4.1 REAL-TIME OPTIMAL CONTROL 89
4.2 THE REAL-TIME ITERATION SCHEME 92
4.3 CONTRACTIVITY OF REAL-TIME ITERATIONS 99
BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/1010675745
DIGITALISIERT DURCH
IMAGE 2
CONTENTS
4.4 MIXED-INTEGER MODEL PREDICTIVE CONTROL 103
4.5 SUMMARY 115
5 OUTER CONVEXIFICATION OF CONSTRAINTS 117
5.1 CONSTRAINTS DEPENDING ON INTEGER CONTROLS 117
5.2 LACK OF CONSTRAINT QUALIFICATION 120
5.3 MATHEMATICAL PROGRAMS WITH VANISHING CONSTRAINTS 127 5.4 AN MPVC
LAGRANGIAN FRAMEWORK 131
5.5 SUMMARY 139
6 A NONCONVEX PARAMETRIC SQP METHOD 141
6.1 SQP FOR NONCONVEX PROGRAMS 141
6.2 PARAMETRIC QUADRATIC PROGRAMS 148
6.3 A PRIMAL-DUAL PARAMETRIC ACTIVE SET STRATEGY 151 6.4 PARAMETRIC
QUADRATIC PROGRAMMING FOR NONCONVEX PROBLEMS 163 6.5 SUMMARY 172
7 LINEAR ALGEBRA FOR BLOCK STRUCTURED QPS 175
7.1 BLOCK STRUCTURE 175
7.2 SURVEY OF EXISTING METHODS 179
7.3 A FACTORIZATION FOR STRUCTURED KKT SYSTEMS WITH MANY CON- TROLS 185
7.4 PROPERTIES AND EXTENSIONS 195
7.5 COMPUTATIONAL COMPLEXITY 200
7.6 SUMMARY 203
8 UPDATES FOR THE BLOCK STRUCTURED FACTORIZATION 205 8.1 MATRIX UPDATES
OVERVIEW 205
8.2 UPDATING THE BLOCK LOCAL REDUCTIONS 211
8.3 MODIFYING THE BLOCK TRIDIAGONAL FACTORIZATION 229 8.4 SUMMARY 235
9 NUMERICAL RESULTS 237
9.1 MIXED-INTEGER OPTIMAL CONTROL WITH SWITCH COSTS 238 9.2
MIXED-INTEGER NMPC SCHEME CONTRACTIVITY 249 9.3 OCPS AND NLPS WITH
VANISHING CONSTRAINTS 263
9.4 BLOCK STRUCTURED FACTORIZATION AND UPDATES 274
9.5 APPLICATION: A PREDICTIVE CRUISE CONTROLLER 289
A IMPLEMENTATION 321
IMAGE 3
CONTENTS XI
A.I MULTIPLE-SHOOTING REAL-TIME ONLINE OPTIMIZATION METHOD . 321 A. 2
BLOCK STRUCTURED PARAMETRIC QUADRATIC PROGRAMMING CODE . 340
BIBLIOGRAPHY 347
|
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| building | Verbundindex |
| bvnumber | BV039728233 |
| classification_rvk | SK 870 |
| ctrlnum | (OCoLC)755712185 (DE-599)DNB1010675745 |
| dewey-full | 519.287 515.642 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics 515 - Analysis |
| dewey-raw | 519.287 515.642 |
| dewey-search | 519.287 515.642 |
| dewey-sort | 3519.287 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 1. ed. |
| format | Thesis Book |
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| id | DE-604.BV039728233 |
| illustrated | Illustrated |
| indexdate | 2024-07-10T00:09:52Z |
| institution | BVB |
| isbn | 9783834815729 3834815721 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-024576197 |
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| physical | XX, 367 S. graph. Darst. |
| publishDate | 2011 |
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| publisher | Vieweg + Teubner |
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| series2 | Advances in numerical mathematics Vieweg + Teubner Research |
| spelling | Kirches, Christian Verfasser (DE-588)143917161 aut Fast numerical methods for mixed-integer nonlinear model-predictive control Christian Kirches 1. ed. Wiesbaden Vieweg + Teubner 2011 XX, 367 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Advances in numerical mathematics Vieweg + Teubner Research Dissertation Universität Heidelberg 2010 Nichtlineare Optimierung (DE-588)4128192-5 gnd rswk-swf Numerisches Verfahren (DE-588)4128130-5 gnd rswk-swf Optimale Kontrolle (DE-588)4121428-6 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Optimale Kontrolle (DE-588)4121428-6 s Nichtlineare Optimierung (DE-588)4128192-5 s Numerisches Verfahren (DE-588)4128130-5 s DE-604 http://digitool.hbz-nrw.de:1801/webclient/DeliveryManager?pid=4321855&custom_att_2=simple_viewer Fast Numerical Methods for Mixed-Integer Model Predictive Control Zusätzliche Angaben DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024576197&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Kirches, Christian Fast numerical methods for mixed-integer nonlinear model-predictive control Nichtlineare Optimierung (DE-588)4128192-5 gnd Numerisches Verfahren (DE-588)4128130-5 gnd Optimale Kontrolle (DE-588)4121428-6 gnd |
| subject_GND | (DE-588)4128192-5 (DE-588)4128130-5 (DE-588)4121428-6 (DE-588)4113937-9 |
| title | Fast numerical methods for mixed-integer nonlinear model-predictive control |
| title_auth | Fast numerical methods for mixed-integer nonlinear model-predictive control |
| title_exact_search | Fast numerical methods for mixed-integer nonlinear model-predictive control |
| title_full | Fast numerical methods for mixed-integer nonlinear model-predictive control Christian Kirches |
| title_fullStr | Fast numerical methods for mixed-integer nonlinear model-predictive control Christian Kirches |
| title_full_unstemmed | Fast numerical methods for mixed-integer nonlinear model-predictive control Christian Kirches |
| title_short | Fast numerical methods for mixed-integer nonlinear model-predictive control |
| title_sort | fast numerical methods for mixed integer nonlinear model predictive control |
| topic | Nichtlineare Optimierung (DE-588)4128192-5 gnd Numerisches Verfahren (DE-588)4128130-5 gnd Optimale Kontrolle (DE-588)4121428-6 gnd |
| topic_facet | Nichtlineare Optimierung Numerisches Verfahren Optimale Kontrolle Hochschulschrift |
| url | http://digitool.hbz-nrw.de:1801/webclient/DeliveryManager?pid=4321855&custom_att_2=simple_viewer http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024576197&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT kircheschristian fastnumericalmethodsformixedintegernonlinearmodelpredictivecontrol |