Optimal control with a worst case performance criterion and applications:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin u.a.
Springer
1990
|
| Schriftenreihe: | Lecture notes in control and information sciences
145 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | X, 133 S. |
| ISBN: | 3540528229 0387528229 |
Internformat
MARC
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| 100 | 1 | |a Subrahmanyam, M. B. |d 1949- |e Verfasser |0 (DE-588)124085458 |4 aut | |
| 245 | 1 | 0 | |a Optimal control with a worst case performance criterion and applications |
| 264 | 1 | |a Berlin u.a. |b Springer |c 1990 | |
| 300 | |a X, 133 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Lecture notes in control and information sciences |v 145 | |
| 650 | 7 | |a Commande, Théorie de la |2 ram | |
| 650 | 7 | |a commande H-infinitude |2 inriac | |
| 650 | 7 | |a commande linéaire |2 inriac | |
| 650 | 7 | |a commande optimale |2 inriac | |
| 650 | 7 | |a optimalité |2 inriac | |
| 650 | 7 | |a perturbation |2 inriac | |
| 650 | 7 | |a robustesse |2 inriac | |
| 650 | 7 | |a réduction modèle |2 inriac | |
| 650 | 7 | |a système linéaire |2 inriac | |
| 650 | 7 | |a théorème existence |2 inriac | |
| 650 | 4 | |a Control theory | |
| 650 | 4 | |a Mathematical optimization | |
| 650 | 0 | 7 | |a Kostenfunktion |0 (DE-588)4131857-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Regelungstheorie |0 (DE-588)4122327-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Optimale Kontrolle |0 (DE-588)4121428-6 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Optimale Kontrolle |0 (DE-588)4121428-6 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Regelungstheorie |0 (DE-588)4122327-5 |D s |
| 689 | 1 | 1 | |a Optimale Kontrolle |0 (DE-588)4121428-6 |D s |
| 689 | 1 | |5 DE-604 | |
| 689 | 2 | 0 | |a Optimale Kontrolle |0 (DE-588)4121428-6 |D s |
| 689 | 2 | 1 | |a Kostenfunktion |0 (DE-588)4131857-2 |D s |
| 689 | 2 | |5 DE-604 | |
| 830 | 0 | |a Lecture notes in control and information sciences |v 145 |w (DE-604)BV005848579 |9 145 | |
| 856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002115949&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
Datensatz im Suchindex
| _version_ | 1805082693363302400 |
|---|---|
| adam_text |
Table of Contents
Chapter l
Necessary Conditions for Optimality in Problems with
Nonstandard Cost Functionals
1. Introduction l
2. Preliminaries 1
3. Necessary Conditions for Optimality 5
4. Cost Functional of the Form of a Product 10
5. Certain Generalizations 10
References 10
Chapter 2
Linear Control Problems and an Existence Theorem
1. Introduction 14
2. An Existence Theorem 14
3. Necessary Conditions for Optimality 17
References 23
Chapter 3
Optimal Disturbance Rejection and Performance Robustness
in Linear Systems
Abstract 25
1. Introduction 25
2. Problem Formulation 28
3. Existence of the Worst Exogenous Input 29
viii TABLE OF CONTENTS
4. Evaluation of A 31
5. Some Applications 37
6. Performance Robustness 40
7. Navion Wing Leveler System 43
8. Conclusions 47
References 48
Chapter 4
Necessary Conditions for Optimal Disturbance Rejection
in Linear Systems
Abstract 49
1. Introduction 49
2. Necessary Conditions for a Fixed C(t) 52
3. A Necessary Condition for the Maximization of A 54
4. Problem Formulation for an Observer based Controller . 57
5. Necessary Conditions for a Fixed C{t) in the
Case of an Observer based Controller 58
6. Maximization of A in the Case of an
Observer based Controller 59
7. Reduced Order Observer Case 62
8. Sufficiency Theory 65
9. An Example 66
10. Conclusions 67
References 68
TABLE OF CONTENTS ix
Chapter 5
Synthesis of Finite Interval H^ Controllers by
State Space Methods
Abstract 70
1. Introduction 70
2. State Space Formulation op the H^ Problem 72
3. Optimality Conditions 76
4. Optimality Conditions for the Maximization of A 79
5. A Numerical Example 81
6. Conclusions 84
References 84
Chapter 6
Worst Case Performance Measures for
Linear Control Problems
Abstract 88
1. Introduction 88
2. Existence of the Worst Exogenous Input 91
3. Characterization of the Optimal Value 94
4. Robustness Considerations 98
5. Variation of Performance with Control Parameters 102
6. Conclusions 103
References 103
x TABLE OF CONTENTS
Chapter 7
Model Reduction with a Finite Interval
Hoo Criterion
Abstract 105
1. Introduction 105
2. Computation of A for a Given Reduced Order Model 109
3. Robust Model Reduction 112
4. Numerical Examples 116
5. Conclusions 122
References 123
Subject Index 129 |
| any_adam_object | 1 |
| author | Subrahmanyam, M. B. 1949- |
| author_GND | (DE-588)124085458 |
| author_facet | Subrahmanyam, M. B. 1949- |
| author_role | aut |
| author_sort | Subrahmanyam, M. B. 1949- |
| author_variant | m b s mb mbs |
| building | Verbundindex |
| bvnumber | BV003350528 |
| callnumber-first | Q - Science |
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| callnumber-raw | QA402.5 |
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| callnumber-subject | QA - Mathematics |
| classification_rvk | SI 845 |
| classification_tum | MSR 610f MAT 496f |
| ctrlnum | (OCoLC)246646276 (DE-599)BVBBV003350528 |
| dewey-full | 519.3 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.3 |
| dewey-search | 519.3 |
| dewey-sort | 3519.3 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik Mess-/Steuerungs-/Regelungs-/Automatisierungstechnik |
| format | Book |
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| id | DE-604.BV003350528 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-20T07:36:43Z |
| institution | BVB |
| isbn | 3540528229 0387528229 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-002115949 |
| oclc_num | 246646276 |
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| owner_facet | DE-12 DE-91G DE-BY-TUM DE-384 DE-83 DE-188 |
| physical | X, 133 S. |
| publishDate | 1990 |
| publishDateSearch | 1990 |
| publishDateSort | 1990 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in control and information sciences |
| series2 | Lecture notes in control and information sciences |
| spelling | Subrahmanyam, M. B. 1949- Verfasser (DE-588)124085458 aut Optimal control with a worst case performance criterion and applications Berlin u.a. Springer 1990 X, 133 S. txt rdacontent n rdamedia nc rdacarrier Lecture notes in control and information sciences 145 Commande, Théorie de la ram commande H-infinitude inriac commande linéaire inriac commande optimale inriac optimalité inriac perturbation inriac robustesse inriac réduction modèle inriac système linéaire inriac théorème existence inriac Control theory Mathematical optimization Kostenfunktion (DE-588)4131857-2 gnd rswk-swf Regelungstheorie (DE-588)4122327-5 gnd rswk-swf Optimale Kontrolle (DE-588)4121428-6 gnd rswk-swf Optimale Kontrolle (DE-588)4121428-6 s DE-604 Regelungstheorie (DE-588)4122327-5 s Kostenfunktion (DE-588)4131857-2 s Lecture notes in control and information sciences 145 (DE-604)BV005848579 145 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002115949&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Subrahmanyam, M. B. 1949- Optimal control with a worst case performance criterion and applications Lecture notes in control and information sciences Commande, Théorie de la ram commande H-infinitude inriac commande linéaire inriac commande optimale inriac optimalité inriac perturbation inriac robustesse inriac réduction modèle inriac système linéaire inriac théorème existence inriac Control theory Mathematical optimization Kostenfunktion (DE-588)4131857-2 gnd Regelungstheorie (DE-588)4122327-5 gnd Optimale Kontrolle (DE-588)4121428-6 gnd |
| subject_GND | (DE-588)4131857-2 (DE-588)4122327-5 (DE-588)4121428-6 |
| title | Optimal control with a worst case performance criterion and applications |
| title_auth | Optimal control with a worst case performance criterion and applications |
| title_exact_search | Optimal control with a worst case performance criterion and applications |
| title_full | Optimal control with a worst case performance criterion and applications |
| title_fullStr | Optimal control with a worst case performance criterion and applications |
| title_full_unstemmed | Optimal control with a worst case performance criterion and applications |
| title_short | Optimal control with a worst case performance criterion and applications |
| title_sort | optimal control with a worst case performance criterion and applications |
| topic | Commande, Théorie de la ram commande H-infinitude inriac commande linéaire inriac commande optimale inriac optimalité inriac perturbation inriac robustesse inriac réduction modèle inriac système linéaire inriac théorème existence inriac Control theory Mathematical optimization Kostenfunktion (DE-588)4131857-2 gnd Regelungstheorie (DE-588)4122327-5 gnd Optimale Kontrolle (DE-588)4121428-6 gnd |
| topic_facet | Commande, Théorie de la commande H-infinitude commande linéaire commande optimale optimalité perturbation robustesse réduction modèle système linéaire théorème existence Control theory Mathematical optimization Kostenfunktion Regelungstheorie Optimale Kontrolle |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002115949&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV005848579 |
| work_keys_str_mv | AT subrahmanyammb optimalcontrolwithaworstcaseperformancecriterionandapplications |