Development of a framework for the solution of high-fidelity trajectory optimization problems and bilevel optimal control problems:
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| Format: | Thesis Book |
| Language: | English |
| Published: |
München
Verl. Dr. Hut
2011
|
| Edition: | 1. Aufl. |
| Series: | Ingenieurwissenschaften
|
| Subjects: | |
| Online Access: | Inhaltstext Inhaltsverzeichnis |
| Physical Description: | VII, 212 S. graph. Darst. 210 mm x 148 mm, 340 g |
| ISBN: | 9783868538519 |
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Record in the Search Index
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IMAGE 1
TABLE OF CONTENTS
NOMENCLATURE 1
1 INTRODUCTION 7
1.1 OPTIMAL CONTROL AND TRAJECTORY OPTIMIZATION 7
1.2 LITERATURE REVIEW-STATE OF THE ART 11
1.2.1 TRAJECTORY OPTIMIZATION UTILIZING 6-DEGREE-OF-FREEDOM SIMULATION
MODELS. 11 1.2.2 BILEVEL OPTIMAL CONTROL 12
1.2.3 TRAJECTORY DECOMPOSITION 13
1.2.4 MULTIDISCIPLINARY DESIGN OPTIMIZATION INVOLVING TRAJECTORY
OPTIMIZATION 14 1.3 CONTRIBUTIONS OF THE THESIS 15
2 FUNDAMENTALS OF OPTIMAL CONTROL 17
2.1 THE GENERAL OPTIMAL CONTROL PROBLEM 18
2.2 FRAMEWORK FOR THE SOLUTION OF THE OPTIMAL CONTROL PROBLEM 20
2.2.1 MULTIPLE SHOOTING METHOD 20
2.2.2 CONTROL DISCRETIZATION 21
2.2.3 MULTI-PHASE OPTIMAL CONTROL PROBLEMS 24
2.2.4 GRADIENT, JACOBIAN AND HESSIAN EVALUATION 25
2.2.5 SENSITIVITY EQUATIONS 29
2.2.6 SCALING 33
2.2.7 ESTIMATION OF ADJOINT VARIABLES 34
2.2.8 MESH REFINEMENT 35
3 OPTIMIZATION SIMULATION MODEL 39
3.1 OVERVIEW 39
3.2 RIGID-BODY EQUATIONS OF MOTION 42
3.2.1 SCOPE OF VALIDITY 43
3.2.2 POSITION PROPAGATION EQUATIONS 43
3.2.3 TRANSLATION EQUATIONS OF MOTION 46
3.2.4 ATTITUDE PROPAGATION EQUATIONS 52
3.2.5 ROTATION EQUATION OF MOTIONS 53
3.2.6 LINEAR STATE-SPACE MODELS 54
3.2.7 LINEAR TRANSFER FUNCTIONS 58
3.2.8 AIRCRAFT ATTITUDE DESCRIBED BY EULER ANGLES 61
3.2.9 WIND INCLUSION AND KINEMATIC RELATIONSHIPS 62
3.2.10 EXTERNAL FORCES AND MOMENTS 64
3.2.11 ACTUATOR DYNAMICS 68
3.2.12 STATIC ATMOSPHERE 69
3.3 FEEDBACK LINEARIZATION AS PLANT TRANSFORMATION 69
3.3.1 NON-LINEAR DYNAMIC INVERSION - THEORETICAL FUNDAMENTALS 71 3.3.2
REFERENCE TRAJECTORY 79
3.3.3 REFERENCE KINEMATIC FLIGHT-PATH VALUES 81
3.3.4 REFERENCE LOAD FACTORS IN THE KINEMATIC FLIGHT-PATH FRAME K 82
3.3.5 REFERENCE LOAD FACTORS IN THE INTERMEDIATE FLIGHT-PATH FRAME K. 84
3.3.6 REFERENCE LOAD FACTORS IN THE AERODYNAMIC FRAMED 85
3.3.7 REFERENCE AERODYNAMIC ATTITUDE ANGLES 87
3.3.8 REFERENCE KINEMATIC ATTITUDE ANGLES 89
3.3.9 REFERENCE ANGULAR RATES 90
3.3.10 REFERENCE CONTROL SURFACE DEFLECTIONS 91
BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/1011161346
DIGITALISIERT DURCH
IMAGE 2
3.3.11 REFERENCE VALUES FOR THE LINEAR STATE-SPACE MODELS 92
3.3.12 REFERENCE VALUES FOR THE LINEAR TRANSFER FUNCTIONS 95
3.4 REFERENCE MODELS 96
3.4.1 FIRST ORDER REFERENCE MODEL 97
3.4.2 SECOND ORDER REFERENCE MODEL 98
3.5 ERROR FEEDBACKS AS STABILIZING CONTROLS 99
3.5.1 TRAJECTORY DEVIATION CONTROL LOOP 100
3.5.2 KINEMATIC FLIGHT-PATH VARIABLES CONTROL LOOP 103
3.5.3 KINEMATIC LOAD FACTORS CONTROL LOOP 104
3.5.4 AERODYNAMIC ATTITUDE ANGLES CONTROL LOOP 104
3.5.5 BODY ANGULAR RATES CONTROL LOOP 105
3.6 SIMULATION MODES 105
3.6.1 POINT-MASS SIMULATION MODE 106
3.6.2 HYBRID SIMULATION MODE WITH LINEAR TRANSFER FUNCTIONS 107
3.6.3 HYBRID SIMULATION MODE WITH STATE-SPACE MODELS 108
3.6.4 FULL, NON-LINEAR SIMULATION MODE 109
3.6.5 HYBRID SIMULATION MODE WITH STATE-SPACE MODELS, INNER LOOP
INVERSION AND REFERENCE MODELS 109
3.6.6 FULL, NON-LINEAR SIMULATION MODE WITH INNER LOOP INVERSION AND
REFERENCE MODELS 110
3.6.7 TRAJECTORY FOLLOWING MODE WITH LINEAR TRANSFER FUNCTIONS 111 3.6.8
TRAJECTORY FOLLOWING MODE WITH STATE-SPACE MODELS 111
3.6.9 TRAJECTORY FOLLOWING MODE WITH FULL, NON-LINEAR INNER LOOP 112 I
OPTIMIZATION ALGORITHM 113
4.1 ALGORITHM ABSTRACT 113
4.2 IMPLEMENTATION DETAILS 119
4.2.1 INVERSE REFERENCE MODELS 119
4.2.2 INITIAL GUESS GENERATION 120
4.2.3 SUBSTITUTE OPTIMIZATION PROBLEM 124
I BILEVEL OPTIMAL CONTROL 127
5.1 STATEMENT OF THE BILEVEL OPTIMAL CONTROL PROBLEM 127
5.2 SENSITIVITY ANALYSIS FOR LOWER LEVEL OPTIMAL CONTROL PROBLEMS 128
5.3 SOLUTION ALGORITHM 133
I APPLICATIONS AND RESULTS 135
6.1 AIR RACE AS BENCHMARK PROBLEM 135
6.2 MINIMUM TIME AIR RACE TRAJECTORIES 141
6.3 INCREASING THE SAFETY OF AIR RACES 147
6.3.1 COMPUTATION OF SENSITIVITY INFORMATION FOR THE AIR RACE BILEVEL
OPTIMAL CONTROL PROBLEM 149
6.3.2 SAFETY CRITERIA FOR AIR RACES 150
6.3.3 OPTIMIZED AIR RACE TRACKS FOR SELECTED SAFETY CRITERIA 162
6.4 INCREASING THE FAIRNESS IN AIR RACES 171
6.4.1 INCREASING THE FAIRNESS FOR TWO COMPETING AIRCRAFT 171
6.4.2 INCREASING THE FAIRNESS FOR THREE COMPETING AIRCRAFT 176
6.4.3 INCREASING THE FAIRNESS AND THE SAFETY OF AIR RACES 177
' SUMMARY AND PERSPECTIVES 179
7.1 SUMMARY 179
IMAGE 3
7.2 PERSPECTIVES 180
A APPENDIX 183
A.1 SECOND ORDER STATE SENSITIVITY EQUATIONS 183
A.2 FRAMES 184
A.2.1 EARTH-CENTERED INERTIAL (ECI) FRAME/ 184
A.2.2 EARTH-CENTERED-EARTH-FIXED (ECEF) FRAME E 185
A.2.3 NORTH-EAST-DOWN (NED) FRAME O 186
A.2.4 BODY-FIXED FRAME B 187
A.2.5 KINEMATIC-FRAME K 188
A.2.6 INTERMEDIATE KINEMATIC FRAMED 189
A.2.7 AERODYNAMIC FRAMED 190
A.2.8 INTERMEDIATE AERODYNAMIC FRAMED 191
A.3 TRANSFORMATION MATRICES AND ANGULAR RATES 192
A.3.1 CEF-FRAME-IVED-FRAMEO 192
A.3.2 NED-FRAMEO- BODY-FIXED FRAME S 193
A.3.3 NED-FRAME O- KINEMATIC FLIGHT-PATH FRAME/: 194
A.3.4 MSD-FRAME O - INTERMEDIATE KINEMATIC FLIGHT-PATH FRAME K. 195
A.3.5 NED-FRAME O - AERODYNAMIC FRAME A 196
A.3.6 NED-FRAME O - INTERMEDIATE AERODYNAMIC FRAME A 197
A.3.7 KINEMATIC FLIGHT-PATH FRAME K- BODY-FIXED FRAME B 198
A.3.8 INTERMEDIATE KINEMATIC FLIGHT-PATH FRAME K- BODY-FIXED FRAME B 199
A.3.9 AERODYNAMIC FRAME A - BODY-FIXED FRAME B 200
A.3.10 INTERMEDIATE AERODYNAMIC FRAME AE- BODY-FIXED FRAME B 201 A.4
LINEARIZED STATE-SPACE MODELS 202
A.4.1 LONGITUDINAL STATE-SPACE MODELS 202
A.4.2 LATERAL STATE-SPACE MODELS 203
BIBLIOGRAPHY 205 |
| any_adam_object | 1 |
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| dewey-ones | 629 - Other branches of engineering |
| dewey-raw | 629.1301 |
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| dewey-sort | 3629.1301 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Maschinenbau / Maschinenwesen Mess-/Steuerungs-/Regelungs-/Automatisierungstechnik Verkehrstechnik Verkehr / Transport |
| edition | 1. Aufl. |
| format | Thesis Book |
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| spelling | Fisch, Florian Verfasser (DE-588)1011425947 aut Development of a framework for the solution of high-fidelity trajectory optimization problems and bilevel optimal control problems Florian Fisch 1. Aufl. München Verl. Dr. Hut 2011 VII, 212 S. graph. Darst. 210 mm x 148 mm, 340 g txt rdacontent n rdamedia nc rdacarrier Ingenieurwissenschaften Zugl.: München, Techn. Univ., Diss., 2011 Zwei-Ebenen-Optimierung (DE-588)4715689-2 gnd rswk-swf Optimalwertregelung (DE-588)4331044-8 gnd rswk-swf Flugbahn (DE-588)4154743-3 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Flugbahn (DE-588)4154743-3 s Zwei-Ebenen-Optimierung (DE-588)4715689-2 s Optimalwertregelung (DE-588)4331044-8 s DE-604 X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=3716441&prov=M&dok_var=1&dok_ext=htm Inhaltstext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=022530109&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Fisch, Florian Development of a framework for the solution of high-fidelity trajectory optimization problems and bilevel optimal control problems Zwei-Ebenen-Optimierung (DE-588)4715689-2 gnd Optimalwertregelung (DE-588)4331044-8 gnd Flugbahn (DE-588)4154743-3 gnd |
| subject_GND | (DE-588)4715689-2 (DE-588)4331044-8 (DE-588)4154743-3 (DE-588)4113937-9 |
| title | Development of a framework for the solution of high-fidelity trajectory optimization problems and bilevel optimal control problems |
| title_auth | Development of a framework for the solution of high-fidelity trajectory optimization problems and bilevel optimal control problems |
| title_exact_search | Development of a framework for the solution of high-fidelity trajectory optimization problems and bilevel optimal control problems |
| title_full | Development of a framework for the solution of high-fidelity trajectory optimization problems and bilevel optimal control problems Florian Fisch |
| title_fullStr | Development of a framework for the solution of high-fidelity trajectory optimization problems and bilevel optimal control problems Florian Fisch |
| title_full_unstemmed | Development of a framework for the solution of high-fidelity trajectory optimization problems and bilevel optimal control problems Florian Fisch |
| title_short | Development of a framework for the solution of high-fidelity trajectory optimization problems and bilevel optimal control problems |
| title_sort | development of a framework for the solution of high fidelity trajectory optimization problems and bilevel optimal control problems |
| topic | Zwei-Ebenen-Optimierung (DE-588)4715689-2 gnd Optimalwertregelung (DE-588)4331044-8 gnd Flugbahn (DE-588)4154743-3 gnd |
| topic_facet | Zwei-Ebenen-Optimierung Optimalwertregelung Flugbahn Hochschulschrift |
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