Practical methods for optimal control using nonlinear programming:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Philadelphia
SIAM
2001
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| Series: | Advances in design and control
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | X, 190 S. graph. Darst. |
| ISBN: | 0898714885 |
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Record in the Search Index
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| adam_text | PRACTICAL METHODS FOR OPTIMAL CONTROL USING NONLINEAR PROGRAMMING JOHN
T. BETTS THE BOEING COMPANY SEATTLE, WASHINGTON SLFLJTL SOCIETY FOR
INDUSTRIAL AND APPLIED MATHEMATICS PHILADELPHIA CONTENTS PREFACE IX 1
INTRODUCTION TO NONLINEAR PROGRAMMING 1 1.1 PRELIMINARIES 1 1.2 NEWTON S
METHOD IN ONE VARIABLE 2 1.3 SECANT METHOD IN ONE VARIABLE 3 1.4
NEWTON S METHOD FOR MINIMIZATION IN ONE VARIABLE 5 1.5 NEWTON S METHOD
IN SEVERAL VARIABLES 7 1.6 UNCONSTRAINED OPTIMIZATION 8 1.7 RECURSIVE
UPDATES 10 1.8 EQUALITY-CONSTRAINED OPTIMIZATION 12 1.9
INEQUALITY-CONSTRAINED OPTIMIZATION 15 1.10 QUADRATIC PROGRAMMING 17
1.11 GLOBALIZATION STRATEGIES 20 1.12 NONLINEAR PROGRAMMING 27 1.13 AN
SQP ALGORITHM 28 1.14 WHAT CAN GO WRONG 30 2 LARGE, SPARSE NONLINEAR
PROGRAMMING 37 2.1 OVERVIEW: LARGE, SPARSE NLP ISSUES 37 2.2 SPARSE
FINITE DIFFERENCES 38 2.3 SPARSE QP SUBPROBLEM 40 2.4 MERIT FUNCTION 42
2.5 HESSIAN APPROXIMATION 44 2.6 SPARSE SQP ALGORITHM 45 2.7 DEFECTIVE
SUBPROBLEMS 48 2.8 FEASIBLE POINT STRATEGY 49 2.9 COMPUTATIONAL
EXPERIENCE 52 2.10 NONLINEAR LEAST SQUARES 56 3 OPTIMAL CONTROL
PRELIMINARIES 61 3.1 THE TRANSCRIPTION METHOD 61 3.2 DYNAMIC SYSTEMS 61
3.3 SHOOTING METHOD 62 3.4 MULTIPLE SHOOTING METHOD 63 3.5 INITIAL VALUE
PROBLEMS 65 3.6 BOUNDARY VALUE EXAMPLE 72 VN VIII CONTENTS 3.7 DYNAMIC
MODELING HIERARCHY 75 3.8 FUNCTION GENERATOR 76 4 THE OPTIMAL CONTROL
PROBLEM 81 4.1 INTRODUCTION 81 4.2 NECESSARY CONDITIONS FOR THE DISCRETE
PROBLEM 84 4.3 DIRECT VERSUS INDIRECT METHODS 85 4.4 GENERAL FORMULATION
87 4.5 DIRECT TRANSCRIPTION FORMULATION 89 4.6 NLP
CONSIDERATIONS*SPARSITY 92 4.7 MESH REFINEMENT 107 4.8 SCALING 121 4.9
QUADRATURE EQUATIONS 123 4.10 WHAT CAN GO WRONG 125 5 OPTIMAL CONTROL
EXAMPLES 133 5.1 SPACE SHUTTLE REENTRY TRAJECTORY 133 5.2 MINIMUM TIME
TO CLIMB 138 5.3 LOW-THRUST ORBIT TRANSFER 147 5.4 TWO-BURN ORBIT
TRANSFER 152 5.5 INDUSTRIAL ROBOT 165 5.6 MULTIBODY MECHANISM 170
APPENDIX: SOFTWARE 177 A.L SIMPLIFIED USAGE DENSE NLP 177 A.2 SPARSE NLP
WITH SPARSE FINITE DIFFERENCES 177 A.3 OPTIMAL CONTROL USING SPARSE NLP
178 BIBLIOGRAPHY 181 INDEX 189
|
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| isbn | 0898714885 |
| language | English |
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| publishDate | 2001 |
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| series2 | Advances in design and control |
| spelling | Betts, John T. 1943- Verfasser (DE-588)138844771 aut Practical methods for optimal control using nonlinear programming John T. Betts Philadelphia SIAM 2001 X, 190 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Advances in design and control Optimale Kontrolle (DE-588)4121428-6 gnd rswk-swf Nichtlineare Optimierung (DE-588)4128192-5 gnd rswk-swf Nichtlineare Optimierung (DE-588)4128192-5 s Optimale Kontrolle (DE-588)4121428-6 s DE-604 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009362365&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Betts, John T. 1943- Practical methods for optimal control using nonlinear programming Optimale Kontrolle (DE-588)4121428-6 gnd Nichtlineare Optimierung (DE-588)4128192-5 gnd |
| subject_GND | (DE-588)4121428-6 (DE-588)4128192-5 |
| title | Practical methods for optimal control using nonlinear programming |
| title_auth | Practical methods for optimal control using nonlinear programming |
| title_exact_search | Practical methods for optimal control using nonlinear programming |
| title_full | Practical methods for optimal control using nonlinear programming John T. Betts |
| title_fullStr | Practical methods for optimal control using nonlinear programming John T. Betts |
| title_full_unstemmed | Practical methods for optimal control using nonlinear programming John T. Betts |
| title_short | Practical methods for optimal control using nonlinear programming |
| title_sort | practical methods for optimal control using nonlinear programming |
| topic | Optimale Kontrolle (DE-588)4121428-6 gnd Nichtlineare Optimierung (DE-588)4128192-5 gnd |
| topic_facet | Optimale Kontrolle Nichtlineare Optimierung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009362365&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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