Model predictive control for nonlinear continuous-time systems with and without time-delays:
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| Format: | Thesis Book |
| Language: | English |
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Berlin
Logos-Verl.
2013
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| Online Access: | Inhaltstext Inhaltsverzeichnis |
| Physical Description: | XVIII, 141 S. zahlr. graph. Darst. 21 cm |
| ISBN: | 9783832533816 3832533818 |
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| 245 | 1 | 0 | |a Model predictive control for nonlinear continuous-time systems with and without time-delays |c vorgelegt von Marcus Reble |
| 264 | 1 | |a Berlin |b Logos-Verl. |c 2013 | |
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Record in the Search Index
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TABLE OF CONTENTS
LIST OF SYMBOLS IX
ABSTRACT XI
DEUTSCHE KURZFASSUNG XIII
1 INTRODUCTION 1
1.1 MOTIVATION AND FOCUS OF THE THESIS 1
1.2 OUTLINE AND CONTRIBUTIONS OF THE THESIS 2
2 BACKGROUND 5
2.1 MODEL PREDICTIVE CONTROL 5
2.1.1 BASIC PRINCIPLE OF MODEL PREDICTIVE CONTROL 5
2.1.2 REVIEW ON MODEL PREDICTIVE CONTROL 6
2.1.3 STABILITY IN MODEL PREDICTIVE CONTROL 8
2.2 TIME-DELAY SYSTEMS 10
2.2.1 RETARDED FUNCTIONAL DIFFERENTIAL EQUATIONS 11
2.2.2 STABILITY 11
2.2.3 CONTROL OF NONLINEAR TIME-DELAY SYSTEMS 13
2.3 SUMMARY 13
3 MODEL PREDICTIVE CONTROL FOR NONLINEAR CONTINUOUS-TIME SYSTEMS 15
3.1 PROBLEM SETUP 16
3.2 UNCONSTRAINED MPC AND SUBOPTIMALITY ESTIMATES 18
3.2.1 UNCONSTRAINED MPC SETUP 18
3.2.2 ASYMPTOTIC STABILITY AND SUBOPTIMALITY ESTIMATE 20
3.2.3 SPECIAL CASE: EXPONENTIAL CONTROLLABILITY 29
3.2.4 NUMERICAL EXAMPLE 32
3.2.5 SUMMARY 33
3.3 UNCONSTRAINED MPC WITH GENERAL TERMINAL COST FUNCTIONS 34
3.3.1 UNCONSTRAINED MPC SETUP WITH GENERAL TERMINAL COST 34
3.3.2 ASYMPTOTIC STABILITY 35
3.3.3 NUMERICAL EXAMPLE 41
3.3.4 SUMMARY 42
3.4 UNCONSTRAINED MPC WITH EXPONENTIAL WEIGHTING 42
3.4.1 UNCONSTRAINED MPC SETUP WITH EXPONENTIAL WEIGHTING 42
3.4.2 ASYMPTOTIC STABILITY 43
3.4.3 NUMERICAL EXAMPLE 46
3.4.4 SUMMARY 46
3.5 A UNIFYING FRAMEWORK USING INTEGRAL TERMINAL COST TERMS 47
3.5.1 MPC SETUP WITH INTEGRAL TERMINAL COST 47
3.5.2 ASYMPTOTIC STABILITY 48
VII
HTTP://D-NB.INFO/1033539600
TABLE OF CONTENTS
3.5.3 CONNECTION TO PREVIOUS RESULTS AND SPECIAL CASES 54
3.5.4 IMPROVED STABILITY CONDITIONS 56
3.5.5 ILLUSTRATIVE EXAMPLE 57
3.5.6 SUMMARY 58
3.6 MPC WITH EXPONENTIAL WEIGHTING AND TERMINAL CONSTRAINTS ' . . . 59
3.6.1 MPC SETUP WITH EXPONENTIAL WEIGHTING AND TERMINAL CONSTRAINTS 59
3.6.2 ASYMPTOTIC STABILITY 60
3.6.3 SUMMARY 62
3.7 SUMMARY 62
4 MODEL PREDICTIVE CONTROL FOR NONLINEAR TIME-DELAY SYSTEMS 65
4.1 PROBLEM SETUP 66
4.2 MPC SETUP WITH TERMINAL CONSTRAINTS AND ASYMPTOTIC STABILITY 68
4.3 CALCULATION OF THE TERMINAL REGION AND TERMINAL COST 69
4.3.1 GENERAL LINEARIZATION-BASED DESIGN 72
4.3.2 COMBINATION OF LYAPUNOV-KRASOVSKII AND LYAPUNOV-RAZUMIKHIN . . 76
4.3.3 DESIGN BY LYAPUNOV-RAZUMIKHIN ARGUMENTS 79
4.3.4 DESIGN WITH LYAPUNOV-RAZUMIKHIN AND EXPONENTIAL WEIGHTING . . 85
4.3.5 COMPARISON OF DIFFERENT APPROACHES 87
4.4 UNCONSTRAINED MPC WITH TERMINAL COST FUNCTIONAL 87
4.4.1 MPC SETUP 87
4.4.2 ASYMPTOTIC STABILITY 89
4.4.3 SUMMARY 94
4.5 UNCONSTRAINED MPC WITHOUT TERMINAL COST FUNCTIONAL 94
4.5.1 MPC SETUP 95
4.5.2 CONTROLLABILITY ASSUMPTION AND IMPLICATIONS 97
4.5.3 ASYMPTOTIC STABILITY AND SUBOPTIMALITY ESTIMATE 100
4.5.4 SUMMARY 102
4.6 NUMERICAL EXAMPLES 103
4.6.1 SIMPLE SCALAR EXAMPLE 103
4.6.2 CONTINUOUS STIRRED TANK REACTOR WITH RECYCLE STREAM 104
4.7 SUMMARY 108
5 CONCLUSIONS 111
5.1 SUMMARY AND DISCUSSION ILL
5.2 OUTLOOK 112
A TECHNICAL PROOFS 115
A.L PROOF OF THEOREM 4.5 115
A.2 PROOF OF THEOREM 4.10 118
A.3 PROOF OF LEMMA 4.13 120
A.4 PROOF OF LEMMA 4.14 121
A.5 PROOF OF LEMMA 4.19 122
A.6 PROOF OF LEMMA 4.31 122
BIBLIOGRAPHY 125
VIII |
| any_adam_object | 1 |
| author | Reble, Marcus |
| author_GND | (DE-588)1034309668 |
| author_facet | Reble, Marcus |
| author_role | aut |
| author_sort | Reble, Marcus |
| author_variant | m r mr |
| building | Verbundindex |
| bvnumber | BV041758058 |
| classification_rvk | ZQ 5290 |
| ctrlnum | (OCoLC)846986294 (DE-599)DNB1033539600 |
| dewey-full | 629.8312 |
| 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 | Elektrotechnik / Elektronik / Nachrichtentechnik Mess-/Steuerungs-/Regelungs-/Automatisierungstechnik / Mechatronik |
| format | Thesis Book |
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| spelling | Reble, Marcus Verfasser (DE-588)1034309668 aut Model predictive control for nonlinear continuous-time systems with and without time-delays vorgelegt von Marcus Reble Berlin Logos-Verl. 2013 XVIII, 141 S. zahlr. graph. Darst. 21 cm txt rdacontent n rdamedia nc rdacarrier Zugl.: Stuttgart, Univ., Diss., 2013 Nichtlineares System (DE-588)4042110-7 gnd rswk-swf Stabilität (DE-588)4056693-6 gnd rswk-swf Kontinuierliches System (DE-588)4263504-4 gnd rswk-swf Prädiktive Regelung (DE-588)4271836-3 gnd rswk-swf Zeitverzögertes System (DE-588)4780926-7 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Prädiktive Regelung (DE-588)4271836-3 s Nichtlineares System (DE-588)4042110-7 s Kontinuierliches System (DE-588)4263504-4 s Zeitverzögertes System (DE-588)4780926-7 s Stabilität (DE-588)4056693-6 s DE-604 X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=4298402&prov=M&dok_var=1&dok_ext=htm Inhaltstext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027204265&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Reble, Marcus Model predictive control for nonlinear continuous-time systems with and without time-delays Nichtlineares System (DE-588)4042110-7 gnd Stabilität (DE-588)4056693-6 gnd Kontinuierliches System (DE-588)4263504-4 gnd Prädiktive Regelung (DE-588)4271836-3 gnd Zeitverzögertes System (DE-588)4780926-7 gnd |
| subject_GND | (DE-588)4042110-7 (DE-588)4056693-6 (DE-588)4263504-4 (DE-588)4271836-3 (DE-588)4780926-7 (DE-588)4113937-9 |
| title | Model predictive control for nonlinear continuous-time systems with and without time-delays |
| title_auth | Model predictive control for nonlinear continuous-time systems with and without time-delays |
| title_exact_search | Model predictive control for nonlinear continuous-time systems with and without time-delays |
| title_full | Model predictive control for nonlinear continuous-time systems with and without time-delays vorgelegt von Marcus Reble |
| title_fullStr | Model predictive control for nonlinear continuous-time systems with and without time-delays vorgelegt von Marcus Reble |
| title_full_unstemmed | Model predictive control for nonlinear continuous-time systems with and without time-delays vorgelegt von Marcus Reble |
| title_short | Model predictive control for nonlinear continuous-time systems with and without time-delays |
| title_sort | model predictive control for nonlinear continuous time systems with and without time delays |
| topic | Nichtlineares System (DE-588)4042110-7 gnd Stabilität (DE-588)4056693-6 gnd Kontinuierliches System (DE-588)4263504-4 gnd Prädiktive Regelung (DE-588)4271836-3 gnd Zeitverzögertes System (DE-588)4780926-7 gnd |
| topic_facet | Nichtlineares System Stabilität Kontinuierliches System Prädiktive Regelung Zeitverzögertes System Hochschulschrift |
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