Minimum entropy H control:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin u.a.
Springer
1990
|
| Schriftenreihe: | Lecture notes in control and information sciences
146 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VIII, 144 S. |
| ISBN: | 3540529470 0387529470 |
Internformat
MARC
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| 100 | 1 | |a Mustafa, Denis |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Minimum entropy H control |c D. Mustafa ; K. Glover |
| 264 | 1 | |a Berlin u.a. |b Springer |c 1990 | |
| 300 | |a VIII, 144 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
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| 650 | 0 | 7 | |a Dynamisches System |0 (DE-588)4013396-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Kontrolltheorie |0 (DE-588)4032317-1 |2 gnd |9 rswk-swf |
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| 700 | 1 | |a Glover, Keith |e Verfasser |4 aut | |
| 830 | 0 | |a Lecture notes in control and information sciences |v 146 |w (DE-604)BV005848579 |9 146 | |
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Datensatz im Suchindex
| _version_ | 1805073854298587136 |
|---|---|
| adam_text |
Contents
1 Introduction 1
1.1 Overview 2
1.2 Outline of this Monograph 3
1.3 Background References 5
2 The Entropy of a System 7
2.1 Introduction 8
2.2 Definition of the Entropy 8
2.3 Some Properties 9
2.4 Relations to the LQG Cost 11
2.5 The Ko Norm Bound 12
3 The Minimum Entropy H^ Control Problem 15
3.1 Introduction 16
3.2 Problem Formulation 16
3.3 Solution in the General Case 19
3.4 Solution at Infinity 22
3.5 State Space Formulae for the Minimum Entropy 25
3.6 Upper Bounds and an W^/LQG Tradeoff 30
3.7 Recovery of the LQG Solution 31
4 The Minimum Entropy %» Distance Problem 35
4.1 Introduction 36
4.2 From H^ Control Problem to H^ Distance Problem 36
4.3 Relations to the Band Extension Problem 38
4.4 Solution in the General Case 38
4.5 Solution at Infinity 42
5 Relations to Combined 7C/LQG Control 49
5.1 Introduction 50
5.2 The Combined W«,/LQG Problem 50
5.3 Equivalence with Minimum Entropy H x, Control 52
5.4 Solution and Equivalence in State Space 54
VII
6 Relations to Risk Sensitive LQG Control 59
6.1 Introduction 60
6.2 The Risk Sensitive LQG Control Problem 60
6.3 Equivalence with Minimum Entropy "H^ Control 61
7 The Normalized Hx Control Problem 65
7.1 Introduction 66
7.2 The Normalized LQG Problem 66
7.3 The Normalized HM Problem 68
7.4 A Numerical Example 72
8 Woo Characteristic Values 79
8.1 Introduction 80
8.2 LQG Balancing and LQG Characteristic Values 81
8.3 Woo Balancing and Woo Characteristic Values 83
8.4 Model Reduction by T^ Balanced Truncation 86
8.4.1 ^ Balanced Truncation 86
8.4.2 Relations to Balanced Truncation 87
8.4.3 Coprime Factorization via the Normalized Hw Problem 90
8.4.4 Model Reduction via the Coprime Factors 93
8.4.5 Stability and Performance with the Reduced Order Controller . 95
8.4.6 A Numerical Example 99
9 LQG and WK Monotonicity 103
9.1 Introduction 104
9.2 The LQG Cost and its Derivative 104
9.3 On LQG Monotonicity 108
A Proof of Results Needed in the Text HI
A.I Outline 112
A.2 A Lemma 112
A.3 Proof of Theorem 2.4.4 112
A.4 State Space Evaluation of the Entropy Integral 113
A.5 Proof of Lemma 8.4.9 116
A.6 Proof of Corollary 8.4.19 and Proposition 8.4.21 118
A.7 Proof of Theorem 9.2.2(ii) 121
B Entropy Formulae: Alternative Derivation 123
B.I Introduction 124
B.2 The Full Information and Output Estimation Problems 124
B.3 Separation Structure 126
B.4 Proof of Theorem 3.5.1 127
B.5 Proof of Lemma 3.5.5 128
VIII
C Notation 131
C.I Basic Notational Conventions 132
C.2 Acronyms 134
Bibliography 135
Index 141 |
| any_adam_object | 1 |
| author | Mustafa, Denis Glover, Keith |
| author_facet | Mustafa, Denis Glover, Keith |
| author_role | aut aut |
| author_sort | Mustafa, Denis |
| author_variant | d m dm k g kg |
| building | Verbundindex |
| bvnumber | BV003673767 |
| classification_rvk | SI 845 |
| classification_tum | MAT 496f |
| ctrlnum | (OCoLC)260193070 (DE-599)BVBBV003673767 |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV003673767 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-20T05:16:14Z |
| institution | BVB |
| isbn | 3540529470 0387529470 |
| language | English |
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| physical | VIII, 144 S. |
| publishDate | 1990 |
| publishDateSearch | 1990 |
| publishDateSort | 1990 |
| publisher | Springer |
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| series | Lecture notes in control and information sciences |
| series2 | Lecture notes in control and information sciences |
| spelling | Mustafa, Denis Verfasser aut Minimum entropy H control D. Mustafa ; K. Glover Berlin u.a. Springer 1990 VIII, 144 S. txt rdacontent n rdamedia nc rdacarrier Lecture notes in control and information sciences 146 Entropie (DE-588)4014894-4 gnd rswk-swf Minimierung (DE-588)4251074-0 gnd rswk-swf Dynamisches System (DE-588)4013396-5 gnd rswk-swf Kontrolltheorie (DE-588)4032317-1 gnd rswk-swf Optimale Kontrolle (DE-588)4121428-6 gnd rswk-swf Entropie (DE-588)4014894-4 s Minimierung (DE-588)4251074-0 s DE-604 Optimale Kontrolle (DE-588)4121428-6 s Kontrolltheorie (DE-588)4032317-1 s Dynamisches System (DE-588)4013396-5 s Glover, Keith Verfasser aut Lecture notes in control and information sciences 146 (DE-604)BV005848579 146 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002338173&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Mustafa, Denis Glover, Keith Minimum entropy H control Lecture notes in control and information sciences Entropie (DE-588)4014894-4 gnd Minimierung (DE-588)4251074-0 gnd Dynamisches System (DE-588)4013396-5 gnd Kontrolltheorie (DE-588)4032317-1 gnd Optimale Kontrolle (DE-588)4121428-6 gnd |
| subject_GND | (DE-588)4014894-4 (DE-588)4251074-0 (DE-588)4013396-5 (DE-588)4032317-1 (DE-588)4121428-6 |
| title | Minimum entropy H control |
| title_auth | Minimum entropy H control |
| title_exact_search | Minimum entropy H control |
| title_full | Minimum entropy H control D. Mustafa ; K. Glover |
| title_fullStr | Minimum entropy H control D. Mustafa ; K. Glover |
| title_full_unstemmed | Minimum entropy H control D. Mustafa ; K. Glover |
| title_short | Minimum entropy H control |
| title_sort | minimum entropy h control |
| topic | Entropie (DE-588)4014894-4 gnd Minimierung (DE-588)4251074-0 gnd Dynamisches System (DE-588)4013396-5 gnd Kontrolltheorie (DE-588)4032317-1 gnd Optimale Kontrolle (DE-588)4121428-6 gnd |
| topic_facet | Entropie Minimierung Dynamisches System Kontrolltheorie Optimale Kontrolle |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002338173&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV005848579 |
| work_keys_str_mv | AT mustafadenis minimumentropyhcontrol AT gloverkeith minimumentropyhcontrol |