Nonlinear H control: the singular case
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Amsterdam
1996
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| Schriftenreihe: | Centrum voor Wiskunde en Informatica <Amsterdam>: CWI Tract
118 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | V, 197 S. |
| ISBN: | 906196 |
Internformat
MARC
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| 245 | 1 | 0 | |a Nonlinear H control |b the singular case |c W. C. A. Maas |
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| 490 | 1 | |a Centrum voor Wiskunde en Informatica <Amsterdam>: CWI Tract |v 118 | |
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Datensatz im Suchindex
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| adam_text | NONLINEAR TIOO CONTROL: THE SINGULAR CASE W.C.A. MAAS CONTENTS PREFACE I
1 INTRODUCTION 1 1.1 A BRIEF HISTORY 1 1.2 TWO APPROACHES TO THE
SINGULAR I^O PROBLEM 3 1.3 ORGANIZATION OF THIS BOOK 4 1.4 NOTATION 7 2
THE L 2 -GAIN, AND THE NONLINEAR HX CONTROL PROBLEM 9 2.1 THE Z 2-GAIN
OF A NONLINEAR SYSTEM 10 2.2 THE THX CONTROL PROBLEM FOR A NONLINEAR
SYSTEM 19 2.2.1 THE REGULAR STATE FEEDBACK HX PROBLEM FOR NONLINEAR
SYSTEMS 21 2.2.2 THE REGULAR MEASUREMENT FEEDBACK HX PROBLEM FOR NON-
LINEAR SYSTEMS . 27 3 THE SINGULAR HX PROBLEM: A CHEAP CONTROL APPROACH
29 3.1 LINEAR DISTURBANCE ATTENUATION 30 3.2 SINGULAR NONLINEAR STATE
FEEDBACK ^O CONTROL 32 3.2.1 SINGULAR HX CONTROL 34 3.2.2 REGULARIZED
HX CONTROL 44 3.2.3 THE NONLINEAR SYSTEM VERSUS ITS LINEARIZATION 48 3.3
SINGULAR NONLINEAR MEASUREMENT FEEDBACK I?4O CONTROL .... 53 4 THE HX,
ALMOST DISTURBANCE DECOUPLING PROBLEM 61 4.1 ALMOST DISTURBANCE
DECOUPLING FOR AFFINE NONLINEAR SYSTEMS 61 IV CONTENTS 5 THE SINGULAR HX
PROBLEM: A GEOMETRIC APPROACH 79 5.1 SINGULAR LINEAR J ^ CONTROL BY
STATE FEEDBACK 80 5.1.1 STATE TRANSFORMATION FOR LINEAR SYSTEMS WITH K =
0 . . 81 CONDITIONED IN VARIANCE 81 STATE TRANSFORMATION 82 5.1.2 STATE
TRANSFORMATION FOR LINEAR SYSTEM WITH K ^ 0 . . . 83 5.1.3 THE QUADRATIC
MATRIX INEQUALITY 86 5.1.4 THE STATE FEEDBACK ^4O CONTROL PROBLEM 87
5.1.5 FACTORIZATION APPROACH 89 5.2 SINGULAR ^QO PROBLEM FOR GENERAL
NONLINEAR SYSTEMS 91 5.2.1 STATE TRANSFORMATION FOR AFFINE NONLINEAR
SYSTEMS WITH- OUT DIRECT FEEDTHROUGH FROM INPUTS TO OUTPUTS 92
CONDITIONED INVARIANCE 92 STATE TRANSFORMATION 93 5.2.2 STATE
TRANSFORMATION FOR GENERAL NONLINEAR SYSTEMS . . 97 5.2.3 SPECIAL CASES
103 REGULAR HX PROBLEM 103 FULL SINGULAR HX PROBLEM 104 5.2.4 THE
NONLINEAR STATE FEEDBACK !H O0 PROBLEM: SUFFICIENT CONDITIONS 105 5.2.5
THE REGULAR ^4O SUBPROBLEM 115 5.2.6 THE H^ ALMOST DISTURBANCE
DECOUPLING PROBLEM . . . 120 5.2.7 FACTORIZATION APPROACH 124 6 EXAMPLES
133 6.1 TRACKING OF THE ORIENTATION OF A RIGID BODY 133 6.1.1 CHEAP
CONTROL APPROACH 136 6.1.2 GEOMETRIC APPROACH 142 6.2 INVERTED PENDULUM
ON A CART 150 6.2.1 CHEAP CONTROL APPROACH 152 6.2.2 GEOMETRIC APPROACH
154 6.2.3 COMPARISON OF THE TWO CONTROLLERS 159 7 ROBUST STABILIZATION
UNDER GAIN-BOUNDED UNCERTAINTIES 165 7.1 PARAMETER UNCERTAINTY 165 7.2
MULTIPLICATIVE PERTURBATIONS 173 CONTENTS V 8 CONCLUSIONS 177 8.1
SUMMARY 177 8.2 OPEN PROBLEMS . 180 A NOTIONS FROM DIFFERENTIAL GEOMETRY
181 BIBLIOGRAPHY 187 INDEX 195
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| any_adam_object | 1 |
| author | Maas, W. C. |
| author_facet | Maas, W. C. |
| author_role | aut |
| author_sort | Maas, W. C. |
| author_variant | w c m wc wcm |
| building | Verbundindex |
| bvnumber | BV011543637 |
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| callnumber-subject | QA - Mathematics |
| classification_tum | MAT 496f |
| ctrlnum | (OCoLC)36516920 (DE-599)BVBBV011543637 |
| dewey-full | 629.836 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 629 - Other branches of engineering |
| dewey-raw | 629.836 |
| dewey-search | 629.836 |
| dewey-sort | 3629.836 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Mathematik Mess-/Steuerungs-/Regelungs-/Automatisierungstechnik / Mechatronik |
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| id | DE-604.BV011543637 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:11:33Z |
| institution | BVB |
| isbn | 906196 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007771187 |
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| owner_facet | DE-91G DE-BY-TUM DE-188 |
| physical | V, 197 S. |
| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
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| series | Centrum voor Wiskunde en Informatica <Amsterdam>: CWI Tract |
| series2 | Centrum voor Wiskunde en Informatica <Amsterdam>: CWI Tract |
| spelling | Maas, W. C. Verfasser aut Nonlinear H control the singular case W. C. A. Maas Amsterdam 1996 V, 197 S. txt rdacontent n rdamedia nc rdacarrier Centrum voor Wiskunde en Informatica <Amsterdam>: CWI Tract 118 H [infinity symbol] control Centrum voor Wiskunde en Informatica <Amsterdam>: CWI Tract 118 (DE-604)BV001902011 118 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007771187&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Maas, W. C. Nonlinear H control the singular case Centrum voor Wiskunde en Informatica <Amsterdam>: CWI Tract H [infinity symbol] control |
| title | Nonlinear H control the singular case |
| title_auth | Nonlinear H control the singular case |
| title_exact_search | Nonlinear H control the singular case |
| title_full | Nonlinear H control the singular case W. C. A. Maas |
| title_fullStr | Nonlinear H control the singular case W. C. A. Maas |
| title_full_unstemmed | Nonlinear H control the singular case W. C. A. Maas |
| title_short | Nonlinear H control |
| title_sort | nonlinear h control the singular case |
| title_sub | the singular case |
| topic | H [infinity symbol] control |
| topic_facet | H [infinity symbol] control |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007771187&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV001902011 |
| work_keys_str_mv | AT maaswc nonlinearhcontrolthesingularcase |