Early-lumping based controller synthesis for linear infinite-dimensional systems:
Gespeichert in:
1. Verfasser: | |
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Format: | Abschlussarbeit Buch |
Sprache: | English |
Veröffentlicht: |
Erlangen
FAU University Press
2014
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Schriftenreihe: | FAU Forschungen
Reihe B, Medizin, Naturwissenschaft, Technik ; 1 |
Schlagworte: | |
Online-Zugang: | Inhaltstext kostenfrei Inhaltsverzeichnis |
Beschreibung: | XV, 233 S. |
ISBN: | 9783944057149 |
Internformat
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Datensatz im Suchindex
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CONTENTS
1 INTRODUCTION 1
1.1 PROBLEM FORMULATION AND CONTRIBUTION OF THE THESIS 3
1.2 OUTLINE OF THE THESIS 5
2 THE EARLY-LUMPING APPROACH FOR CONTINUOUS-TIME CONTROL 7
2.1 CONTINUOUS-TIME STATE SPACE REPRESENTATIONS 9
2.1.1 STATE LINEAR SYSTEMS 9
2.1.2 SOLUTION OF THE STATE EQUATION 12
2.1.3 EXPONENTIAL STABILITY 17
2.1.4 CLASSES OF SYSTEM OPERATORS 19
2.1.5 EXAMPLES OF STATE SPACE MODELS 23
2.2 MODAL SYSTEM APPROXIMATION 34
2.2.1 SYSTEMS WITH EIGENVECTOR RIESZ BASIS 35
2.2.2 SYSTEMS WITHOUT EIGENVECTOR
RIESZ BASIS 42
2.3 OBSERVER-BASED COMPENSATOR DESIGN 48
2.3.1 STABILIZABILITY AND DETECTABILITY 49
2.3.2 DESIGN OF THE OBSERVER-BASED COMPENSATOR 51
2.3.3 DYNAMICS OF THE CLOSED-LOOP SYSTEM 53
2.3.4 ASYMPTOTIC DISTURBANCE REJECTION 56
2.4 ANALYSIS OF THE CLOSED-LOOP SPECTRUM 58
2.4.1 STRUCTURE OF THE CLOSED-LOOP SPECTRUM 58
2.4.2 ENCLOSURE OF THE CLOSED-LOOP SPECTRUM 62
3 SPILLOVER REDUCTION FOR CONTINUOUS-TIME CONTROL 73
3.1 RECONSTRUCTION OF FICTITIOUS OUTPUTS 75
3.1.1 CHARACTERIZATION OF RECONSTRUCTIBLE FICTITIOUS OUTPUTS 77
3.1.2 SUPPRESSION OF THE RESIDUAL MODAL STATE CONTRIBUTIONS 80
3.1.3 EXTENDED SYSTEM WITH THE RECONSTRUCTED OUTPUT 83
XIII
HTTP://D-NB.INFO/1052689337
CONTENTS
3.2 COMPENSATOR DESIGN USING OUTPUT OBSERVERS 85
3.2.1 OBSERVER-BASED STATE FEEDBACK CONTROL USING A SINGLE OUTPUT OB
SERVER 86
3.2.2 ANALYSIS OF THE SPILLOVER REDUCTION 88
3.2.3 IMPROVED SPILLOVER REDUCTION BY CASCADED OUTPUT OBSERVERS . 92
3.3 OBSERVATION SPILLOVER REDUCTION VERSUS CONTROL SPILLOVER REDUCTION
. 102
3.3.1 MODIFICATION OF THE CONTROL SPILLOVER 103
3.3.2 REDUCTION OF THE SPECTRUM PERTURBATION BY MODIFICATION OF THE
CONTROL SPILLOVER 104
4 THE EARLY-LUMPING APPROACH FOR DISCRETE-TIME CONTROL 107
4.1 DISCRETE-TIME STATE SPACE SYSTEM REPRESENTATIONS 109
4.1.1 STATE SPACE MODELS OF SAMPLED-DATA SYSTEMS 110
4.1.2 SOLUTION OF THE STATE EQUATION AND POWER STABILITY 112
4.1.3 DEFINITION OF THE CONSIDERED SYSTEM CLASS 115
4.2 OBSERVER-BASED CONTROL AND ANALYSIS OF THE CLOSED-LOOP SPECTRUM .
119
4.2.1 DISCRETE-TIME SYSTEM APPROXIMATION 120
4.2.2 DESIGN OF THE DISCRETE-TIME OBSERVER-BASED COMPENSATOR 122
4.2.3 ANALYSIS OF THE CLOSED-LOOP DYNAMICS 124
5 SPILLOVER REDUCTION FOR DISCRETE-TIME CONTROL 133
5.1 CONTROL USING GENERAL HOLD DEVICES 136
5.1.1 SAMPLED-DATA SYSTEMS WITH GENERAL HOLD DEVICES 138
5.1.2 DESIGN OF THE HOLD FUNCTIONS 139
5.1.3 ANALYSIS OF THE CLOSED-LOOP DYNAMICS FOR OBSERVER-BASED CONTROL
147
5.2 CONTROL USING GENERAL SAMPLING 154
5.2.1 SAMPLED-DATA SYSTEMS WITH GENERAL SAMPLING AND OBSERVER-BASED
CONTROL 155
5.2.2 DESIGN OF THE SAMPLING FUNCTIONS 159
5.2.3 ANALYSIS OF THE CLOSED-LOOP DYNAMICS 164
6 CONCLUDING REMARKS 171
A PROOFS 175
A.L PROOF OF PROPOSITION 2.1-8 175
A.2 PROOF OF PROPOSITION 2.2-3 176
A.3 PROOF OF THEOREM 2.3-3 178
XIV
A.4 PROOF OF LEMMA 2.4-1 182
A.5 PROOF OF LEMMA 2.4-6 185
A.6 PROOF OF PROPOSITION 2.4-8 187
A.7 PROOF OF LEMMA 3.2-1 189
A.8 PROOF OF LEMMA 3.2-2 190
A.9 PROOF OF THEOREM 3.2-3 190
A.10 PROOF OF THEOREM 3.3-1 192
A.LL PROOF OF PROPOSITION 4.1-3 194
A.12 PROOF OF THEOREM 5.1-3 195
A. 13 PROOF OF THEOREM 5.1-8 196
A.14 PROOF
OF PROPOSITION 5.2-1 198
A. 15 PROOF OF THEOREM 5.2-9 199
B COMPUTATION OF THE DISK RADIUS FOR SPECTRUM ENCLOSURE 203
C THE ADJOINT OPERATOR 211
D DEFINITIONS OF FUNCTION SPACES 215
REFERENCES 219
INDEX 230
XV |
any_adam_object | 1 |
author | Harkort, Christian |
author_facet | Harkort, Christian |
author_role | aut |
author_sort | Harkort, Christian |
author_variant | c h ch |
building | Verbundindex |
bvnumber | BV041959124 |
collection | ebook |
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dewey-hundreds | 600 - Technology (Applied sciences) |
dewey-ones | 629 - Other branches of engineering |
dewey-raw | 629.8312 |
dewey-search | 629.8312 |
dewey-sort | 3629.8312 |
dewey-tens | 620 - Engineering and allied operations |
discipline | Mess-/Steuerungs-/Regelungs-/Automatisierungstechnik / Mechatronik |
format | Thesis Book |
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spelling | Harkort, Christian Verfasser aut Early-lumping based controller synthesis for linear infinite-dimensional systems Christian Harkort Erlangen FAU University Press 2014 XV, 233 S. txt rdacontent n rdamedia nc rdacarrier FAU Forschungen : Reihe B, Medizin, Naturwissenschaft, Technik 1 Zugl.: Erlangen-Nürnberg, Univ., Diss., 2013 Zustandsraum (DE-588)4132647-7 gnd rswk-swf Approximation (DE-588)4002498-2 gnd rswk-swf Funktionalanalysis (DE-588)4018916-8 gnd rswk-swf Reglerentwurf (DE-588)4177447-4 gnd rswk-swf Lineares zeitinvariantes System (DE-588)4213494-8 gnd rswk-swf Ordnungsreduktion (DE-588)4136085-0 gnd rswk-swf Unendlichdimensionales System (DE-588)4207956-1 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Unendlichdimensionales System (DE-588)4207956-1 s Lineares zeitinvariantes System (DE-588)4213494-8 s Approximation (DE-588)4002498-2 s Reglerentwurf (DE-588)4177447-4 s Ordnungsreduktion (DE-588)4136085-0 s Zustandsraum (DE-588)4132647-7 s Funktionalanalysis (DE-588)4018916-8 s DE-604 Erscheint auch als Online-Ausgabe urn:nbn:de:bvb:29-opus4-48219 FAU Forschungen Reihe B, Medizin, Naturwissenschaft, Technik ; 1 (DE-604)BV041959107 1 X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=4696582&prov=M&dok_var=1&dok_ext=htm Inhaltstext http://opus4.kobv.de/opus4-fau/frontdoor/index/index/docId/4821 Verlag kostenfrei Volltext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027401986&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
spellingShingle | Harkort, Christian Early-lumping based controller synthesis for linear infinite-dimensional systems FAU Forschungen Zustandsraum (DE-588)4132647-7 gnd Approximation (DE-588)4002498-2 gnd Funktionalanalysis (DE-588)4018916-8 gnd Reglerentwurf (DE-588)4177447-4 gnd Lineares zeitinvariantes System (DE-588)4213494-8 gnd Ordnungsreduktion (DE-588)4136085-0 gnd Unendlichdimensionales System (DE-588)4207956-1 gnd |
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title | Early-lumping based controller synthesis for linear infinite-dimensional systems |
title_auth | Early-lumping based controller synthesis for linear infinite-dimensional systems |
title_exact_search | Early-lumping based controller synthesis for linear infinite-dimensional systems |
title_full | Early-lumping based controller synthesis for linear infinite-dimensional systems Christian Harkort |
title_fullStr | Early-lumping based controller synthesis for linear infinite-dimensional systems Christian Harkort |
title_full_unstemmed | Early-lumping based controller synthesis for linear infinite-dimensional systems Christian Harkort |
title_short | Early-lumping based controller synthesis for linear infinite-dimensional systems |
title_sort | early lumping based controller synthesis for linear infinite dimensional systems |
topic | Zustandsraum (DE-588)4132647-7 gnd Approximation (DE-588)4002498-2 gnd Funktionalanalysis (DE-588)4018916-8 gnd Reglerentwurf (DE-588)4177447-4 gnd Lineares zeitinvariantes System (DE-588)4213494-8 gnd Ordnungsreduktion (DE-588)4136085-0 gnd Unendlichdimensionales System (DE-588)4207956-1 gnd |
topic_facet | Zustandsraum Approximation Funktionalanalysis Reglerentwurf Lineares zeitinvariantes System Ordnungsreduktion Unendlichdimensionales System Hochschulschrift |
url | http://deposit.dnb.de/cgi-bin/dokserv?id=4696582&prov=M&dok_var=1&dok_ext=htm http://opus4.kobv.de/opus4-fau/frontdoor/index/index/docId/4821 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027401986&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
volume_link | (DE-604)BV041959107 |
work_keys_str_mv | AT harkortchristian earlylumpingbasedcontrollersynthesisforlinearinfinitedimensionalsystems |