From model reduction to efficient predictive control with guarantees:
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| 1. Verfasser: | |
|---|---|
| Format: | Abschlussarbeit Buch |
| Sprache: | English |
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Berlin
Logos Verlag Berlin
[2022]
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| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis Inhaltsverzeichnis |
| Beschreibung: | xxv, 159 Seiten Diagramme 21 cm |
| ISBN: | 9783832554859 |
Internformat
MARC
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| 100 | 1 | |a Löhning, Martin |e Verfasser |0 (DE-588)1262092892 |4 aut | |
| 245 | 1 | 0 | |a From model reduction to efficient predictive control with guarantees |c Martin Löhning |
| 264 | 1 | |a Berlin |b Logos Verlag Berlin |c [2022] | |
| 300 | |a xxv, 159 Seiten |b Diagramme |c 21 cm | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 502 | |b Dissertation |c Universität Stuttgart |d 2021 | ||
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Datensatz im Suchindex
| _version_ | 1804185026489745408 |
|---|---|
| adam_text | TABLE
OF
CONTENTS
LIST
OF
FIGURES
IX
LIST
OF
TABLES
XI
LIST
OF
ABBREVIATIONS
XIII
LIST
OF
SYMBOLS
XV
ABSTRACT
XXIII
DEUTSCHE
KURZFASSUNG
XXV
1
INTRODUCTION
1
1.1
MOTIVATION
............................................................................................
1
1.2
OVERVIEW
OF
THE
RESEARCH
AREA
...........................................................
3
1.2.1
MODEL
REDUCTION
....................................................................
4
1.2.2
BOUNDS
FOR
THE
ERROR
OF MODEL
REDUCTION
..............................
6
1.2.3
MPC
USING
REDUCED
MODELS
..................................................
8
1.2.4
SUMMARY
...................................................................................
10
1.3
CONTRIBUTIONS
OF
THE
THESIS
.................................................................
12
1.4
DESIGN
WORKFLOW
OF
THE
PROPOSED
MODEL
PREDICTIVE
CONTROL
SCHEME
14
1.5
OUTLINE
OF
THE
THESIS
..........................................................................
14
2
BACKGROUND
17
2.1
MODEL
REDUCTION
...................................................................................
17
2.1.1
MODEL
REDUCTION
BY
PROJECTION
...............................................
18
2.1.2
MODEL
REDUCTION
BY
PROPER
ORTHOGONAL
DECOMPOSITION
.
.
20
2.2
A-POSTERIORI
BOUNDS
FOR
THE
MODEL
REDUCTION
ERROR
.....................
21
2.3
MODEL
PREDICTIVE
CONTROL
...................................................................
23
2.3.1
PROBLEM
SETUP
..........................................................................
23
2.3.2
PRINCIPLE
OF
MODEL
PREDICTIVE
CONTROL
..................................
25
2.3.3
GUARANTEES
IN
MODEL
PREDICTIVE
CONTROL
...............................
27
2.3.4
MODEL
PREDICTIVE
CONTROL
USING
REDUCED
MODELS
.................
28
2.4
NONISOTHERMAL
TUBULAR
CHEMICAL
REACTOR
........................................
30
2.4.1
DERIVATION
OF
THE
PLANT
MODEL
..................................................
31
2.4.2
PROBLEM
SETUP
FOR
MODEL
PREDICTIVE
CONTROL
......................
33
V
3
TRAJECTORY-BASED
MODEL
REDUCTION
FOR
NONLINEAR
SYSTEMS
37
3.1
PROBLEM
STATEMENT
.............................................................................
37
3.2
PROCEDURE
OF
TRAJECTORY-BASED
MODEL
REDUCTION
............................
39
3.2.1
EVALUATION
OF
THE
OBJECTIVE
FUNCTIONAL
...................................
40
3.2.2
PARAMETERIZATION
OF
THE
REDUCED
MODEL
................................
40
3.2.3
ESTIMATION
OF
THE
REDUCED
MODEL
.........................................
41
3.2.4
COMPLEXITY
REDUCTION
OF
THE
REDUCED
MODEL
.......................
43
3.2.5
EXAMPLE:
MAPK
CASCADE
........................................................
44
3.3
PRESERVING
STABILITY
IN
TRAJECTORY-BASED
MODEL
REDUCTION
....
49
3.3.1
LOCATION
AND
STABILITY
OF
STEADY
STATES
................................
49
3.3.2
MODEL
REDUCTION
ENSURING
STEADY
STATE
PROPERTIES
.............
51
3.3.3
FORMULATION
AS
SEQUENTIAL
CONVEX
OPTIMIZATION
................
52
3.3.4
MODEL
REDUCTION
ALGORITHM
.....................................................
53
3.3.5
EXAMPLE:
FERMI-PASTA-ULAM
LATTICE
......................................
54
3.4
COMPARISON
WITH
APPROACHES
RELYING
ONLY
ON
SIMULATED
TRAJECTO
RIES
................................................................................................
57
3.5
SUMMARY
................................................................................................
58
4
A-POSTERIORI
BOUND
FOR
THE
MODEL
REDUCTION
ERROR
59
4.1
PROBLEM
STATEMENT
..............................................................................
60
4.2
PREPROCESSING
OF
THE
PLANT
.................................................................
61
4.3
A
BOUND
FOR
THE
NORM
OF
THE
MATRIX
EXPONENTIAL
...........................
62
4.4
ASYMPTOTICALLY
STABLE
ERROR
BOUNDING
SYSTEM
.................................
64
4.4.1
IMPROVED
A-POSTERIORI
ERROR
BOUND
.....................................
64
4.4.2
ACHIEVING
AN
ASYMPTOTICALLY
STABLE
ERROR
BOUNDING
SYSTEM
66
4.4.3
RELATION
TO
EXISTING
A-POSTERIORI
ERROR
BOUNDS
...................
67
4.5
EXAMPLE:
TUBULAR
REACTOR
.................................................................
68
4.5.1
PREPROCESSING
AND
BOUNDING
THE
NORM
OF
THE
MATRIX
EXPO
NENTIAL
......................................................................................
68
4.5.2
MODEL
REDUCTION
....................................................................
69
4.5.3
A-POSTERIORI
BOUND
FOR
THE
MODEL
REDUCTION
ERROR
............
70
4.5.4
COMPUTATIONAL
DEMAND
...........................................................
73
4.6
SUMMARY
................................................................................................
74
5
MPC
USING
REDUCED
MODELS
FOR
CONTINUOUS-TIME
SYSTEMS
75
5.1
PROBLEM
STATEMENT
.............................................................................
76
5.2
PREPROCESSING
AND
MODEL
REDUCTION
..................................................
77
5.3
GUARANTEEING
CONSTRAINT
SATISFACTION
...............................................
81
5.4
MPC
SCHEME
USING
THE
REDUCED
MODEL
AND
ERROR
BOUND
.............
82
5.5
ELIMINATING
THE
MODEL
REDUCTION
ERROR
IN
THE
COST
FUNCTIONAL
.
.
86
5.6
GUARANTEEING
ASYMPTOTIC
STABILITY
..................................................
92
5.7
RELATION
TO
EXISTING
APPROACHES
............................................................
100
5.8
EXAMPLE:
TUBULAR
REACTOR
.....................................................................
101
5.8.1
DESIGN
OF
THE
MODEL
PREDICTIVE
CONTROLLERS
.............................
102
VI
5.8.2
TIME
RESPONSE
.............................................................................
103
5.8.3
COMPUTATIONAL
COMPLEXITY
........................................................
103
5.8.4
PERFORMANCE
................................................................................
106
5.9
SUMMARY
.................................................................................................
107
6
MPC
USING
REDUCED
MODELS
FOR
DISCRETE-TIME
SYSTEMS
109
6.1
PROBLEM
STATEMENT
...............................................................................
110
6.2
MPC
SCHEME
USING
THE
REDUCED
MODEL
AND
ERROR
BOUND
............
ILL
6.3
EQUIVALENCE
OF
THE
OPTIMIZATION
PROBLEM
TO
A
SECOND-ORDER
CONE
PROBLEM
..............................................................................................
114
6.4
EXAMPLE:
TUBULAR
REACTOR
...................................................................
119
6.5
SUMMARY
.................................................................................................
121
7
CONCLUSIONS
123
7.1
SUMMARY
.............................................................................................
123
7.2
OUTLOOK
....................................................................................................
125
A
LINEARIZATION
AND
SPATIAL
DISCRETIZATION
OF
THE
TUBULAR
REACTOR
129
B
MODEL
OF
THE
MAPK
CASCADE
133
C
APPLICATION
OF
THE
MPC
SCHEMES
TO
A
TWO-DIMENSIONAL
SYSTEML37
C.1
PROBLEM
SETUP
137
C.2
DESIGN
OF
THE
MODEL
PREDICTIVE
CONTROLLERS
..........................................
137
C.3
TIME
RESPONSE
........................................................................................
139
C.4
ASYMPTOTIC
STABILITY
...........................................................................
139
C.5
PERFORMANCE
..............................................................................................
139
C.6
REGION
OF
ATTRACTION
...............................................................................
141
BIBLIOGRAPHY
143
VII
|
| adam_txt |
TABLE
OF
CONTENTS
LIST
OF
FIGURES
IX
LIST
OF
TABLES
XI
LIST
OF
ABBREVIATIONS
XIII
LIST
OF
SYMBOLS
XV
ABSTRACT
XXIII
DEUTSCHE
KURZFASSUNG
XXV
1
INTRODUCTION
1
1.1
MOTIVATION
.
1
1.2
OVERVIEW
OF
THE
RESEARCH
AREA
.
3
1.2.1
MODEL
REDUCTION
.
4
1.2.2
BOUNDS
FOR
THE
ERROR
OF MODEL
REDUCTION
.
6
1.2.3
MPC
USING
REDUCED
MODELS
.
8
1.2.4
SUMMARY
.
10
1.3
CONTRIBUTIONS
OF
THE
THESIS
.
12
1.4
DESIGN
WORKFLOW
OF
THE
PROPOSED
MODEL
PREDICTIVE
CONTROL
SCHEME
14
1.5
OUTLINE
OF
THE
THESIS
.
14
2
BACKGROUND
17
2.1
MODEL
REDUCTION
.
17
2.1.1
MODEL
REDUCTION
BY
PROJECTION
.
18
2.1.2
MODEL
REDUCTION
BY
PROPER
ORTHOGONAL
DECOMPOSITION
.
.
20
2.2
A-POSTERIORI
BOUNDS
FOR
THE
MODEL
REDUCTION
ERROR
.
21
2.3
MODEL
PREDICTIVE
CONTROL
.
23
2.3.1
PROBLEM
SETUP
.
23
2.3.2
PRINCIPLE
OF
MODEL
PREDICTIVE
CONTROL
.
25
2.3.3
GUARANTEES
IN
MODEL
PREDICTIVE
CONTROL
.
27
2.3.4
MODEL
PREDICTIVE
CONTROL
USING
REDUCED
MODELS
.
28
2.4
NONISOTHERMAL
TUBULAR
CHEMICAL
REACTOR
.
30
2.4.1
DERIVATION
OF
THE
PLANT
MODEL
.
31
2.4.2
PROBLEM
SETUP
FOR
MODEL
PREDICTIVE
CONTROL
.
33
V
3
TRAJECTORY-BASED
MODEL
REDUCTION
FOR
NONLINEAR
SYSTEMS
37
3.1
PROBLEM
STATEMENT
.
37
3.2
PROCEDURE
OF
TRAJECTORY-BASED
MODEL
REDUCTION
.
39
3.2.1
EVALUATION
OF
THE
OBJECTIVE
FUNCTIONAL
.
40
3.2.2
PARAMETERIZATION
OF
THE
REDUCED
MODEL
.
40
3.2.3
ESTIMATION
OF
THE
REDUCED
MODEL
.
41
3.2.4
COMPLEXITY
REDUCTION
OF
THE
REDUCED
MODEL
.
43
3.2.5
EXAMPLE:
MAPK
CASCADE
.
44
3.3
PRESERVING
STABILITY
IN
TRAJECTORY-BASED
MODEL
REDUCTION
.
49
3.3.1
LOCATION
AND
STABILITY
OF
STEADY
STATES
.
49
3.3.2
MODEL
REDUCTION
ENSURING
STEADY
STATE
PROPERTIES
.
51
3.3.3
FORMULATION
AS
SEQUENTIAL
CONVEX
OPTIMIZATION
.
52
3.3.4
MODEL
REDUCTION
ALGORITHM
.
53
3.3.5
EXAMPLE:
FERMI-PASTA-ULAM
LATTICE
.
54
3.4
COMPARISON
WITH
APPROACHES
RELYING
ONLY
ON
SIMULATED
TRAJECTO
RIES
.
57
3.5
SUMMARY
.
58
4
A-POSTERIORI
BOUND
FOR
THE
MODEL
REDUCTION
ERROR
59
4.1
PROBLEM
STATEMENT
.
60
4.2
PREPROCESSING
OF
THE
PLANT
.
61
4.3
A
BOUND
FOR
THE
NORM
OF
THE
MATRIX
EXPONENTIAL
.
62
4.4
ASYMPTOTICALLY
STABLE
ERROR
BOUNDING
SYSTEM
.
64
4.4.1
IMPROVED
A-POSTERIORI
ERROR
BOUND
.
64
4.4.2
ACHIEVING
AN
ASYMPTOTICALLY
STABLE
ERROR
BOUNDING
SYSTEM
66
4.4.3
RELATION
TO
EXISTING
A-POSTERIORI
ERROR
BOUNDS
.
67
4.5
EXAMPLE:
TUBULAR
REACTOR
.
68
4.5.1
PREPROCESSING
AND
BOUNDING
THE
NORM
OF
THE
MATRIX
EXPO
NENTIAL
.
68
4.5.2
MODEL
REDUCTION
.
69
4.5.3
A-POSTERIORI
BOUND
FOR
THE
MODEL
REDUCTION
ERROR
.
70
4.5.4
COMPUTATIONAL
DEMAND
.
73
4.6
SUMMARY
.
74
5
MPC
USING
REDUCED
MODELS
FOR
CONTINUOUS-TIME
SYSTEMS
75
5.1
PROBLEM
STATEMENT
.
76
5.2
PREPROCESSING
AND
MODEL
REDUCTION
.
77
5.3
GUARANTEEING
CONSTRAINT
SATISFACTION
.
81
5.4
MPC
SCHEME
USING
THE
REDUCED
MODEL
AND
ERROR
BOUND
.
82
5.5
ELIMINATING
THE
MODEL
REDUCTION
ERROR
IN
THE
COST
FUNCTIONAL
.
.
86
5.6
GUARANTEEING
ASYMPTOTIC
STABILITY
.
92
5.7
RELATION
TO
EXISTING
APPROACHES
.
100
5.8
EXAMPLE:
TUBULAR
REACTOR
.
101
5.8.1
DESIGN
OF
THE
MODEL
PREDICTIVE
CONTROLLERS
.
102
VI
5.8.2
TIME
RESPONSE
.
103
5.8.3
COMPUTATIONAL
COMPLEXITY
.
103
5.8.4
PERFORMANCE
.
106
5.9
SUMMARY
.
107
6
MPC
USING
REDUCED
MODELS
FOR
DISCRETE-TIME
SYSTEMS
109
6.1
PROBLEM
STATEMENT
.
110
6.2
MPC
SCHEME
USING
THE
REDUCED
MODEL
AND
ERROR
BOUND
.
ILL
6.3
EQUIVALENCE
OF
THE
OPTIMIZATION
PROBLEM
TO
A
SECOND-ORDER
CONE
PROBLEM
.
114
6.4
EXAMPLE:
TUBULAR
REACTOR
.
119
6.5
SUMMARY
.
121
7
CONCLUSIONS
123
7.1
SUMMARY
.
123
7.2
OUTLOOK
.
125
A
LINEARIZATION
AND
SPATIAL
DISCRETIZATION
OF
THE
TUBULAR
REACTOR
129
B
MODEL
OF
THE
MAPK
CASCADE
133
C
APPLICATION
OF
THE
MPC
SCHEMES
TO
A
TWO-DIMENSIONAL
SYSTEML37
C.1
PROBLEM
SETUP
137
C.2
DESIGN
OF
THE
MODEL
PREDICTIVE
CONTROLLERS
.
137
C.3
TIME
RESPONSE
.
139
C.4
ASYMPTOTIC
STABILITY
.
139
C.5
PERFORMANCE
.
139
C.6
REGION
OF
ATTRACTION
.
141
BIBLIOGRAPHY
143
VII |
| any_adam_object | 1 |
| any_adam_object_boolean | 1 |
| author | Löhning, Martin |
| author_GND | (DE-588)1262092892 |
| author_facet | Löhning, Martin |
| author_role | aut |
| author_sort | Löhning, Martin |
| author_variant | m l ml |
| building | Verbundindex |
| bvnumber | BV048880897 |
| ctrlnum | (OCoLC)1334716481 (DE-599)DNB1262349400 |
| dewey-full | 629.276 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 629 - Other branches of engineering |
| dewey-raw | 629.276 |
| dewey-search | 629.276 |
| dewey-sort | 3629.276 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Verkehr / Transport |
| discipline_str_mv | Verkehr / Transport |
| format | Thesis Book |
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| genre | (DE-588)4113937-9 Hochschulschrift gnd-content |
| genre_facet | Hochschulschrift |
| id | DE-604.BV048880897 |
| illustrated | Not Illustrated |
| index_date | 2024-07-03T21:46:08Z |
| indexdate | 2024-07-10T09:48:41Z |
| institution | BVB |
| isbn | 9783832554859 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-034145632 |
| oclc_num | 1334716481 |
| open_access_boolean | |
| owner | DE-29T |
| owner_facet | DE-29T |
| physical | xxv, 159 Seiten Diagramme 21 cm |
| publishDate | 2022 |
| publishDateSearch | 2022 |
| publishDateSort | 2022 |
| publisher | Logos Verlag Berlin |
| record_format | marc |
| spelling | Löhning, Martin Verfasser (DE-588)1262092892 aut From model reduction to efficient predictive control with guarantees Martin Löhning Berlin Logos Verlag Berlin [2022] xxv, 159 Seiten Diagramme 21 cm txt rdacontent n rdamedia nc rdacarrier Dissertation Universität Stuttgart 2021 Schätzung (DE-588)4193791-0 gnd rswk-swf Messung (DE-588)4038852-9 gnd rswk-swf Autonomes Fahrzeug (DE-588)7714938-5 gnd rswk-swf Reifen (DE-588)4137152-5 gnd rswk-swf Reibungskoeffizient (DE-588)4214429-2 gnd rswk-swf Fahrbahn (DE-588)4153537-6 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Autonomes Fahrzeug (DE-588)7714938-5 s Reifen (DE-588)4137152-5 s Fahrbahn (DE-588)4153537-6 s Reibungskoeffizient (DE-588)4214429-2 s Schätzung (DE-588)4193791-0 s Messung (DE-588)4038852-9 s DE-604 B:DE-101 application/pdf https://d-nb.info/1262349400/04 Inhaltsverzeichnis DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=034145632&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p dnb 20221115 DE-101 https://d-nb.info/provenance/plan#dnb |
| spellingShingle | Löhning, Martin From model reduction to efficient predictive control with guarantees Schätzung (DE-588)4193791-0 gnd Messung (DE-588)4038852-9 gnd Autonomes Fahrzeug (DE-588)7714938-5 gnd Reifen (DE-588)4137152-5 gnd Reibungskoeffizient (DE-588)4214429-2 gnd Fahrbahn (DE-588)4153537-6 gnd |
| subject_GND | (DE-588)4193791-0 (DE-588)4038852-9 (DE-588)7714938-5 (DE-588)4137152-5 (DE-588)4214429-2 (DE-588)4153537-6 (DE-588)4113937-9 |
| title | From model reduction to efficient predictive control with guarantees |
| title_auth | From model reduction to efficient predictive control with guarantees |
| title_exact_search | From model reduction to efficient predictive control with guarantees |
| title_exact_search_txtP | From model reduction to efficient predictive control with guarantees |
| title_full | From model reduction to efficient predictive control with guarantees Martin Löhning |
| title_fullStr | From model reduction to efficient predictive control with guarantees Martin Löhning |
| title_full_unstemmed | From model reduction to efficient predictive control with guarantees Martin Löhning |
| title_short | From model reduction to efficient predictive control with guarantees |
| title_sort | from model reduction to efficient predictive control with guarantees |
| topic | Schätzung (DE-588)4193791-0 gnd Messung (DE-588)4038852-9 gnd Autonomes Fahrzeug (DE-588)7714938-5 gnd Reifen (DE-588)4137152-5 gnd Reibungskoeffizient (DE-588)4214429-2 gnd Fahrbahn (DE-588)4153537-6 gnd |
| topic_facet | Schätzung Messung Autonomes Fahrzeug Reifen Reibungskoeffizient Fahrbahn Hochschulschrift |
| url | https://d-nb.info/1262349400/04 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=034145632&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT lohningmartin frommodelreductiontoefficientpredictivecontrolwithguarantees |
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Inhaltsverzeichnis