Control of uncertain systems with l1 and quadratic performance objectives:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Abschlussarbeit Buch |
| Sprache: | English German |
| Veröffentlicht: |
Düsseldorf
VDI-Verl.
2007
|
| Ausgabe: | Als Ms. gedr. |
| Schriftenreihe: | Fortschritt-Berichte VDI
Reihe 8, Meß-, Steuerungs- und Regelungstechnik ; 1125 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Zsfssg in dt. |
| Beschreibung: | XVI, 141 S. graph. Darst. 21 cm |
| ISBN: | 9783185125089 |
Internformat
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| 245 | 1 | 0 | |a Control of uncertain systems with l1 and quadratic performance objectives |c Jochen M. Rieber |
| 250 | |a Als Ms. gedr. | ||
| 264 | 1 | |a Düsseldorf |b VDI-Verl. |c 2007 | |
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| 490 | 1 | |a Fortschritt-Berichte VDI : Reihe 8, Meß-, Steuerungs- und Regelungstechnik |v 1125 | |
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| 502 | |a Zugl.: Stuttgart, Univ., Diss., 2006 | ||
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| 650 | 0 | 7 | |a Mehrzielmethode |0 (DE-588)4277668-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Robuste Regelung |0 (DE-588)4206985-3 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Unsicherheit |0 (DE-588)4186957-6 |2 gnd |9 rswk-swf |
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Datensatz im Suchindex
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| adam_text | FORTSCHRITT-BERICHTE VDI REIHE 8 MESS-, STEUERUNGS- DIPL.-ING./M.SC.
JOCHEN M. RIEBER, UND REGELUNGSTECHNIK HARTHAUSEN AUF DER SCHER NR -
1125 I CONTROL OF UNCERTAIN SYSTEMS WITH T Y AND QUADRATIC PERFORMANCE
OBJECTIVES VDI VERLA* V CONTENTS ACRONYMS VIII ABSTRACT IX DEUTSCHE
ZUSAMMENFASSUNG X 1 INTRODUCTION 1 1.1 BACKGROUND 1 1.2 OUTLINE AND
CONTRIBUTIONS OF THIS WORK 4 1.3 PRELIMINARIES AND NOTATION 6 2
PERFORMANCE ANALYSIS 8 2.1 OVERVIEW 8 2.2 NOMINAL PERFORMANCE ANALYSIS
10 2.2.1 TI PERFORMANCE 10 2.2.2 STAR-NORM PERFORMANCE 11 2.2.3 EXAMPLE
13 2.3 ROBUST PERFORMANCE ANALYSIS: PROBLEM SETUP 14 2.4 ROBUST
STAR-NORM PERFORMANCE ANALYSIS 16 2.5 ROBUST 4O-GAIN ANALYSIS 19 2.5.1
SISO PLANT AND TIME-INVARIANT UNCERTAINTY 19 2.5.2 MIMO PLANT AND
TIME-INVARIANT UNCERTAINTY 26 2.5.3 MIMO PLANT AND TIME-VARYING
UNCERTAINTY 28 2.5.4 REDUCTION OFNUMBEROF MULTIPLIERS 31 2.5.5 LOWER
BOUNDS 32 2.6 EXAMPLE 33 2.7 SUMMARY 35 3 SYNFHESISOFLTI CONTROLLERS 36
3.1 OVERVIEW 36 3.2 REVIEW OF , -OPTIMAL CONTROLLER SYNTHESIS 37 3.3
EFFICIENT MULTI-OBJECTIVE CONTROLLER SYNTHESIS 40 3.3.1 MULTI-OBJECTIVE
CONTROL FORMULATION AND RELAXATIONS 41 3.3.2 FORMULATION OF THE H^ AND
HI CONSTRAINTS 44 VI CONTENTS 3.3.3 COMPLEXITY ANALYSIS 46 3.4 ROBUST
STATE-FEEDBACK IN DISCRETE TIME 50 3.5 SUMMARY 54 4 SYNTHESIS OF LPV
CONTROLLERS 55 4.1 OVERVIEW 55 4.2 PROBLEM SETUP 57 4.3 A NOVEL
GAIN-SCHEDULING STRUCTURE 58 4.4 REALIZATION OF THE LPV CONTROLLER 61
4.4.1 GENERAL CASE 61 4.4.2 SIMPLE CASE 63 4.4.3 RELAXATION OF THE
REALIZATION CONDITIONS 66 4.5 GAIN-SCHEDULING IN THE ( PERFORMANCE
FRAMEWORK 67 4.5.1 CONTROLLER SYNTHESIS VIA -Q-ITERATIONS 68 4.5.2
ROBUST STABILITY AND ROBUST PERFORMANCE 70 4.6 GAIN-SCHEDULING IN THE
QUADRATIC PERFORMANCE FRAMEWORK 71 4.6.1 CONTROLLER SYNTHESIS VIA MATRIX
INEQUALITY CONDITIONS 73 4.6.2 CONTROLLER CONSTRUCTION 79 4.7 SUMMARY 80
5 APPLICATION EXAMPLES FOR LPV CONTROLLER SYNTHESIS 81 5.1 A SIMPLE
EXAMPLE 81 5.2 A FLIGHT CONTROL PROBLEM 85 5.2.1 PARAMETER-VARYING
MODELS 86 5.2.2 CONTROLLER DESIGN AND SIMULATION RESULTS 89 5.3 SUMMARY
95 6 CONCLUSIONS 96 A SIGNAL AND OPERATOR NORMS 99 B AUXILIARY RESULTS
102 B.L MATRICES 102 B.2 LINEAR FRACTIONAL TRANSFORMATIONS 103 B.3
MATRIX INEQUALITIES 104 B.4 UNCERTAIN MATRIX INEQUALITIES 106 B.5 YOULA
PARAMETERIZATION 107 B.6 LOOP-SHIFTING 108 B.7 EXAMPLES OF LINEAR
FRACTIONAL REPRESENTATIONS 108 B.8 STABILITY AND PERFORMANCE ANALYSIS
109 CONTENTS VII C PERFORMANCE ANALYSIS USING PARAMETER-DEPENDENT
LYAPUNOV FUNCTIONS 115 D PROOFS 118 D.L PROOF OF THEOREM 2.1 118 D.2
PROOF OF THEOREM 2.3 119 D.3 PROOF OF THEOREM 2.9 120 D.4 PROOF OF
THEOREM 3.5 121 D.5 DERIVATION OF FORMULAS IN DEFINITIONS 4.1, 4.2, 4.3,
4.4, AND 4.5 123 D.6 PROOF OF THEOREMS 4.1 AND 4.2 126 D.7 PROOF OF
THEOREM 4.3 129 E MATLAB FUNCTION COLLECTION 132 BIBLIOGRAPHY 134
|
| adam_txt |
FORTSCHRITT-BERICHTE VDI REIHE 8 MESS-, STEUERUNGS- DIPL.-ING./M.SC.
JOCHEN M. RIEBER, UND REGELUNGSTECHNIK HARTHAUSEN AUF DER SCHER NR -
1125 I CONTROL OF UNCERTAIN SYSTEMS WITH T Y AND QUADRATIC PERFORMANCE
OBJECTIVES VDI VERLA* V CONTENTS ACRONYMS VIII ABSTRACT IX DEUTSCHE
ZUSAMMENFASSUNG X 1 INTRODUCTION 1 1.1 BACKGROUND 1 1.2 OUTLINE AND
CONTRIBUTIONS OF THIS WORK 4 1.3 PRELIMINARIES AND NOTATION 6 2
PERFORMANCE ANALYSIS 8 2.1 OVERVIEW 8 2.2 NOMINAL PERFORMANCE ANALYSIS
10 2.2.1 TI PERFORMANCE 10 2.2.2 STAR-NORM PERFORMANCE 11 2.2.3 EXAMPLE
13 2.3 ROBUST PERFORMANCE ANALYSIS: PROBLEM SETUP 14 2.4 ROBUST
STAR-NORM PERFORMANCE ANALYSIS 16 2.5 ROBUST 4O-GAIN ANALYSIS 19 2.5.1
SISO PLANT AND TIME-INVARIANT UNCERTAINTY 19 2.5.2 MIMO PLANT AND
TIME-INVARIANT UNCERTAINTY 26 2.5.3 MIMO PLANT AND TIME-VARYING
UNCERTAINTY 28 2.5.4 REDUCTION OFNUMBEROF MULTIPLIERS 31 2.5.5 LOWER
BOUNDS 32 2.6 EXAMPLE 33 2.7 SUMMARY 35 3 SYNFHESISOFLTI CONTROLLERS 36
3.1 OVERVIEW 36 3.2 REVIEW OF , -OPTIMAL CONTROLLER SYNTHESIS 37 3.3
EFFICIENT MULTI-OBJECTIVE CONTROLLER SYNTHESIS 40 3.3.1 MULTI-OBJECTIVE
CONTROL FORMULATION AND RELAXATIONS 41 3.3.2 FORMULATION OF THE H^ AND
"HI CONSTRAINTS 44 VI CONTENTS 3.3.3 COMPLEXITY ANALYSIS 46 3.4 ROBUST
STATE-FEEDBACK IN DISCRETE TIME 50 3.5 SUMMARY 54 4 SYNTHESIS OF LPV
CONTROLLERS 55 4.1 OVERVIEW 55 4.2 PROBLEM SETUP 57 4.3 A NOVEL
GAIN-SCHEDULING STRUCTURE 58 4.4 REALIZATION OF THE LPV CONTROLLER 61
4.4.1 GENERAL CASE 61 4.4.2 SIMPLE CASE 63 4.4.3 RELAXATION OF THE
REALIZATION CONDITIONS 66 4.5 GAIN-SCHEDULING IN THE (\ PERFORMANCE
FRAMEWORK 67 4.5.1 CONTROLLER SYNTHESIS VIA -Q-ITERATIONS 68 4.5.2
ROBUST STABILITY AND ROBUST PERFORMANCE 70 4.6 GAIN-SCHEDULING IN THE
QUADRATIC PERFORMANCE FRAMEWORK 71 4.6.1 CONTROLLER SYNTHESIS VIA MATRIX
INEQUALITY CONDITIONS 73 4.6.2 CONTROLLER CONSTRUCTION 79 4.7 SUMMARY 80
5 APPLICATION EXAMPLES FOR LPV CONTROLLER SYNTHESIS 81 5.1 A SIMPLE
EXAMPLE 81 5.2 A FLIGHT CONTROL PROBLEM 85 5.2.1 PARAMETER-VARYING
MODELS 86 5.2.2 CONTROLLER DESIGN AND SIMULATION RESULTS 89 5.3 SUMMARY
95 6 CONCLUSIONS 96 A SIGNAL AND OPERATOR NORMS 99 B AUXILIARY RESULTS
102 B.L MATRICES 102 B.2 LINEAR FRACTIONAL TRANSFORMATIONS 103 B.3
MATRIX INEQUALITIES 104 B.4 UNCERTAIN MATRIX INEQUALITIES 106 B.5 YOULA
PARAMETERIZATION 107 B.6 LOOP-SHIFTING 108 B.7 EXAMPLES OF LINEAR
FRACTIONAL REPRESENTATIONS 108 B.8 STABILITY AND PERFORMANCE ANALYSIS
109 CONTENTS VII C PERFORMANCE ANALYSIS USING PARAMETER-DEPENDENT
LYAPUNOV FUNCTIONS 115 D PROOFS 118 D.L PROOF OF THEOREM 2.1 118 D.2
PROOF OF THEOREM 2.3 119 D.3 PROOF OF THEOREM 2.9 120 D.4 PROOF OF
THEOREM 3.5 121 D.5 DERIVATION OF FORMULAS IN DEFINITIONS 4.1, 4.2, 4.3,
4.4, AND 4.5 123 D.6 PROOF OF THEOREMS 4.1 AND 4.2 126 D.7 PROOF OF
THEOREM 4.3 129 E MATLAB FUNCTION COLLECTION 132 BIBLIOGRAPHY 134 |
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| bvnumber | BV023176659 |
| classification_rvk | ZQ 5030 |
| ctrlnum | (OCoLC)180747727 (DE-599)BVBBV023176659 |
| dewey-full | 629.832 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 629 - Other branches of engineering |
| dewey-raw | 629.832 |
| dewey-search | 629.832 |
| dewey-sort | 3629.832 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Maschinenbau / Maschinenwesen Mess-/Steuerungs-/Regelungs-/Automatisierungstechnik / Mechatronik |
| discipline_str_mv | Maschinenbau / Maschinenwesen Mess-/Steuerungs-/Regelungs-/Automatisierungstechnik / Mechatronik |
| edition | Als Ms. gedr. |
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| id | DE-604.BV023176659 |
| illustrated | Illustrated |
| index_date | 2024-07-02T20:00:03Z |
| indexdate | 2024-07-09T21:12:21Z |
| institution | BVB |
| isbn | 9783185125089 |
| language | English German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-016363251 |
| oclc_num | 180747727 |
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| owner_facet | DE-210 DE-83 |
| physical | XVI, 141 S. graph. Darst. 21 cm |
| publishDate | 2007 |
| publishDateSearch | 2007 |
| publishDateSort | 2007 |
| publisher | VDI-Verl. |
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| series | Fortschritt-Berichte VDI |
| series2 | Fortschritt-Berichte VDI : Reihe 8, Meß-, Steuerungs- und Regelungstechnik |
| spelling | Rieber, Jochen M. Verfasser (DE-588)133063348 aut Control of uncertain systems with l1 and quadratic performance objectives Jochen M. Rieber Als Ms. gedr. Düsseldorf VDI-Verl. 2007 XVI, 141 S. graph. Darst. 21 cm txt rdacontent n rdamedia nc rdacarrier Fortschritt-Berichte VDI : Reihe 8, Meß-, Steuerungs- und Regelungstechnik 1125 Zsfssg in dt. Zugl.: Stuttgart, Univ., Diss., 2006 Regelgüte (DE-588)4177371-8 gnd rswk-swf Lineares zeitinvariantes System (DE-588)4213494-8 gnd rswk-swf Optimale Kontrolle (DE-588)4121428-6 gnd rswk-swf Mehrzielmethode (DE-588)4277668-5 gnd rswk-swf Robuste Regelung (DE-588)4206985-3 gnd rswk-swf Unsicherheit (DE-588)4186957-6 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Lineares zeitinvariantes System (DE-588)4213494-8 s Unsicherheit (DE-588)4186957-6 s Robuste Regelung (DE-588)4206985-3 s Regelgüte (DE-588)4177371-8 s Mehrzielmethode (DE-588)4277668-5 s Optimale Kontrolle (DE-588)4121428-6 s DE-604 Fortschritt-Berichte VDI Reihe 8, Meß-, Steuerungs- und Regelungstechnik ; 1125 (DE-604)BV000882482 1125 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016363251&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Rieber, Jochen M. Control of uncertain systems with l1 and quadratic performance objectives Fortschritt-Berichte VDI Regelgüte (DE-588)4177371-8 gnd Lineares zeitinvariantes System (DE-588)4213494-8 gnd Optimale Kontrolle (DE-588)4121428-6 gnd Mehrzielmethode (DE-588)4277668-5 gnd Robuste Regelung (DE-588)4206985-3 gnd Unsicherheit (DE-588)4186957-6 gnd |
| subject_GND | (DE-588)4177371-8 (DE-588)4213494-8 (DE-588)4121428-6 (DE-588)4277668-5 (DE-588)4206985-3 (DE-588)4186957-6 (DE-588)4113937-9 |
| title | Control of uncertain systems with l1 and quadratic performance objectives |
| title_auth | Control of uncertain systems with l1 and quadratic performance objectives |
| title_exact_search | Control of uncertain systems with l1 and quadratic performance objectives |
| title_exact_search_txtP | Control of uncertain systems with l1 and quadratic performance objectives |
| title_full | Control of uncertain systems with l1 and quadratic performance objectives Jochen M. Rieber |
| title_fullStr | Control of uncertain systems with l1 and quadratic performance objectives Jochen M. Rieber |
| title_full_unstemmed | Control of uncertain systems with l1 and quadratic performance objectives Jochen M. Rieber |
| title_short | Control of uncertain systems with l1 and quadratic performance objectives |
| title_sort | control of uncertain systems with l1 and quadratic performance objectives |
| topic | Regelgüte (DE-588)4177371-8 gnd Lineares zeitinvariantes System (DE-588)4213494-8 gnd Optimale Kontrolle (DE-588)4121428-6 gnd Mehrzielmethode (DE-588)4277668-5 gnd Robuste Regelung (DE-588)4206985-3 gnd Unsicherheit (DE-588)4186957-6 gnd |
| topic_facet | Regelgüte Lineares zeitinvariantes System Optimale Kontrolle Mehrzielmethode Robuste Regelung Unsicherheit Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016363251&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000882482 |
| work_keys_str_mv | AT rieberjochenm controlofuncertainsystemswithl1andquadraticperformanceobjectives |