Distributed model predictive control with reduced communication load:
Saved in:
| Main Author: | |
|---|---|
| Format: | Thesis Book |
| Language: | English |
| Published: |
Düren
Shaker Verlag
2022
|
| Edition: | 1. Auflage |
| Series: | Forschungsberichte aus dem Lehrstuhl für Elektromobilität
Band 5 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 124 Seiten Illustrationen 21 cm x 14.8 cm, 182 g |
| ISBN: | 9783844086898 3844086897 |
Staff View
MARC
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| 100 | 1 | |a Rostami, Ramin |d 1984- |e Verfasser |0 (DE-588)1266502076 |4 aut | |
| 245 | 1 | 0 | |a Distributed model predictive control with reduced communication load |c Ramin Rostami |
| 250 | |a 1. Auflage | ||
| 263 | |a 202207 | ||
| 264 | 1 | |a Düren |b Shaker Verlag |c 2022 | |
| 300 | |a 124 Seiten |b Illustrationen |c 21 cm x 14.8 cm, 182 g | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Forschungsberichte aus dem Lehrstuhl für Elektromobilität |v Band 5 | |
| 502 | |b Dissertation |c Technische Universität Kaiserslautern |d 2022 | ||
| 650 | 0 | 7 | |a Modellprädiktive Regelung |0 (DE-588)1135937567 |2 gnd |9 rswk-swf |
| 653 | |a Feasibility | ||
| 653 | |a Stability | ||
| 653 | |a ADMM | ||
| 653 | |a Optimization | ||
| 653 | |a DMPC | ||
| 655 | 7 | |0 (DE-588)4113937-9 |a Hochschulschrift |2 gnd-content | |
| 689 | 0 | 0 | |a Modellprädiktive Regelung |0 (DE-588)1135937567 |D s |
| 689 | 0 | |5 DE-604 | |
| 710 | 2 | |a Shaker Verlag |0 (DE-588)1064118135 |4 pbl | |
| 830 | 0 | |a Forschungsberichte aus dem Lehrstuhl für Elektromobilität |v Band 5 |w (DE-604)BV048584985 |9 5 | |
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-033896246 | ||
| 883 | 1 | |8 1\p |a vlb |d 20220622 |q DE-101 |u https://d-nb.info/provenance/plan#vlb | |
Record in the Search Index
| _version_ | 1804184504477155328 |
|---|---|
| adam_text | CONTENTS
1
INTRODUCTION
1
1.1
MOTIVATION
.......................................................................................................
1
1.2
BACKGROUND
....................................................................................................
3
1.3
OUTLINE
..............................................................................................................
3
1.4
NOTATION
..........................................................................................................
5
1.5
PROBLEM
FORMULATION
.....................................................................................
6
2
EVENT-TRIGGERED
GRADIENT-BASED
DMPC
13
2.1
BACKGROUND
....................................................................................................
13
2.2
DISTRIBUTED
FAST
GRADIENT
METHOD
...............................................................
14
2.3
EVENT-BASED
DISTRIBUTED
FAST
GRADIENT
METHOD
.......................................
15
2.3.1
PRIMAL
ERROR
CALCULATION
....................................................................
16
2.3.2
DUAL
ERROR
CALCULATION
......................................................................
18
2.4
EVENT-BASED
DISTRIBUTED
ALGORITHM
............................................................
19
2.4.1
SELECTION
OF
THE
THRESHOLD
.................................................................
19
2.4.2
CONVERGENCE
..........................................................................................
20
2.4.3
STOPPING
CONDITION
.............................................................................
22
2.5
COMPUTATIONAL
STUDY
.....................................................................................
22
2.6
CONCLUSIONS
AND
FUTURE
WORK
......................................................................
23
3
DUAL
ADMM
FOR
DMPC
25
3.1
BACKGROUND
.....................................................................................................
25
3.2
CONSENSUS
FORM
OF
ADMM
............................................................................
26
3.3
DUAL
ADMM
.................................................................................................
28
3.3.1
DUAL
PROBLEM
......................................................................................
29
3.3.2
AUGMENTED
CONNECTION
GRAPH
..........................................................
29
3.3.3
DUAL
ADMM
ALGORITHM
...................................................................
31
3.4
COMPUTATIONAL
STUDY
.....................................................................................
33
3.5
CONCLUSIONS
AND
FUTURE
WORK
......................................................................
34
4
STABILIZING
DMPC
WITH
SUBOPTIMALITY
GUARANTEE
37
4.1
BACKGROUND
....................................................................................................
37
4.2
STABILITY
IN
DMPC
WITHOUT
TERMINAL
COST
AND
CONSTRAINT
......................
38
4.3
DETERMINATION
OF
THE
TIGHTENING
PARAMETER
...............................................
43
4.3.1
SUBOPTIMALITY
BOUND
.........................................................................
43
VII
VIII
CONTENTS
4.3.2
SELECTION
OF
THE
SLATER
S
VECTOR
...........................................................
45
4.3.3
MODIFIED
STABILIZING
ALGORITHM
........................................................
47
4.4
COMPUTATIONAL
STUDY
......................................................................................
49
4.5
CONCLUSIONS
AND
FUTURE
WORK
.......................................................................
51
5
STABILIZING
DMPC
WITH
RELAXED
SUBOPTIMALITY
53
5.1
BACKGROUND
.....................................................................................................
53
5.2
GRADIENT-BASED
STABILIZING
DMPC
.............................................................
54
5.2.1
INITIALIZATION
AND
INFEASIBILITY
DETECTION
........................................
55
5.2.2
CONVERGENCE
..........................................................................................
57
5.2.3
DISTRIBUTED
IMPLEMENTATION
..............................................................
60
5.2.4
CLOSED-LOOP
BEHAVIOR
.......................................................................
63
5.3
ADMM-BASED
STABILIZING
DMPC
................................................................
64
5.4
COMPUTATIONAL
STUDY
......................................................................................
68
5.5
CONCLUSIONS
AND
FUTURE
WORK
............................................................
70
6
DETERMINATION
OF
THE
ADMISSIBLE
SET
73
6.1
BACKGROUND
.....................................................................................................
73
6.2
NON-CONVEXITY
OF
THE
ADMISSIBLE
SET
..........................................................
73
6.3
CALCULATION
OF
A
CONVEX
SUBSET
FOR
THE
ADMISSIBLE
SET
..............................
75
6.4
REFORMULATION
OF
THE
BILEVEL
PROBLEM
AS
AN
MILP
......................................
77
6.4.1
INFINITY
NORM
.......................................................................................
77
6.4.2
COMPLEMENTARITY
CONSTRAINTS
...........................................................
78
6.5
RELATIONSHIP
BETWEEN
THE
ADMISSIBLE
SET
AND
THE
REGION
OF
ATTRACTION
.
.
79
6.6
COMPUTATIONAL
STUDY
......................................................................................
80
6.7
CONCLUSIONS
AND
FUTURE
WORK
......................................................................
81
7
SUMMARY
AND
EVALUATION
83
7.1
SUMMARY
........................................................................................................
83
7.2
EVALUATION
AND
IMPLEMENTATION
...................................................................
84
A
FUNDAMENTALS
87
A.1
CONVEX
OPTIMIZATION
......................................................................................
87
A.
1.1
CONVEX
FUNCTIONS
................................................................................
87
A.
1.2
CONVEX
OPTIMIZATION
PROBLEMS
.......................................................
87
A.
1.3
FIRST-ORDER
OPTIMALITY
CONDITION
....................................................
88
A.
1.4
LIPSCHITZ
CONTINUITY
..........................................................................
88
A.
1.5
GRADIENT
METHODS
.............................................................................
88
A.
2
DUALITY
..............................................................................................................
89
A.
2.1
THE
LAGRANGIAN
...................................................................................
89
A.
2.2
DUAL
FUNCTION
......................................................................................
89
A.
2.3
THE
LAGRANGE
DUAL
PROBLEM
.............................................................
90
A.
2.4
SLATER
S
CONSTRAINT
QUALIFICATION
.......................................................
90
A.
2.5
KKT
CONDITIONS
................................................................................
90
CONTENTS
IX
A.
3
DECOMPOSITION
METHODS
................................................................................
91
A.
3.1
PRIMAL
DECOMPOSITION
.......................................................................
91
A.
3.2
DUAL
DECOMPOSITION
..........................................................................
91
A.
4
ALTERNATING
DIRECTION
METHOD
OF
MULTIPLIERS
.............................................
92
A.
5
MODEL
PREDICTIVE
CONTROL
................................................................................
93
B
BENCHMARK
SYSTEMS
95
B.1
BENCHMARK
SYSTEM
1
.....................................................................................
95
B.2
BENCHMARK
SYSTEM
2
.....................................................................................
96
B.3
BENCHMARK
SYSTEM
3
.....................................................................................
98
BIBLIOGRAPHY
100
CURRICULUM
VITAE
110
|
| adam_txt |
CONTENTS
1
INTRODUCTION
1
1.1
MOTIVATION
.
1
1.2
BACKGROUND
.
3
1.3
OUTLINE
.
3
1.4
NOTATION
.
5
1.5
PROBLEM
FORMULATION
.
6
2
EVENT-TRIGGERED
GRADIENT-BASED
DMPC
13
2.1
BACKGROUND
.
13
2.2
DISTRIBUTED
FAST
GRADIENT
METHOD
.
14
2.3
EVENT-BASED
DISTRIBUTED
FAST
GRADIENT
METHOD
.
15
2.3.1
PRIMAL
ERROR
CALCULATION
.
16
2.3.2
DUAL
ERROR
CALCULATION
.
18
2.4
EVENT-BASED
DISTRIBUTED
ALGORITHM
.
19
2.4.1
SELECTION
OF
THE
THRESHOLD
.
19
2.4.2
CONVERGENCE
.
20
2.4.3
STOPPING
CONDITION
.
22
2.5
COMPUTATIONAL
STUDY
.
22
2.6
CONCLUSIONS
AND
FUTURE
WORK
.
23
3
DUAL
ADMM
FOR
DMPC
25
3.1
BACKGROUND
.
25
3.2
CONSENSUS
FORM
OF
ADMM
.
26
3.3
DUAL
ADMM
.
28
3.3.1
DUAL
PROBLEM
.
29
3.3.2
AUGMENTED
CONNECTION
GRAPH
.
29
3.3.3
DUAL
ADMM
ALGORITHM
.
31
3.4
COMPUTATIONAL
STUDY
.
33
3.5
CONCLUSIONS
AND
FUTURE
WORK
.
34
4
STABILIZING
DMPC
WITH
SUBOPTIMALITY
GUARANTEE
37
4.1
BACKGROUND
.
37
4.2
STABILITY
IN
DMPC
WITHOUT
TERMINAL
COST
AND
CONSTRAINT
.
38
4.3
DETERMINATION
OF
THE
TIGHTENING
PARAMETER
.
43
4.3.1
SUBOPTIMALITY
BOUND
.
43
VII
VIII
CONTENTS
4.3.2
SELECTION
OF
THE
SLATER
'
S
VECTOR
.
45
4.3.3
MODIFIED
STABILIZING
ALGORITHM
.
47
4.4
COMPUTATIONAL
STUDY
.
49
4.5
CONCLUSIONS
AND
FUTURE
WORK
.
51
5
STABILIZING
DMPC
WITH
RELAXED
SUBOPTIMALITY
53
5.1
BACKGROUND
.
53
5.2
GRADIENT-BASED
STABILIZING
DMPC
.
54
5.2.1
INITIALIZATION
AND
INFEASIBILITY
DETECTION
.
55
5.2.2
CONVERGENCE
.
57
5.2.3
DISTRIBUTED
IMPLEMENTATION
.
60
5.2.4
CLOSED-LOOP
BEHAVIOR
.
63
5.3
ADMM-BASED
STABILIZING
DMPC
.
64
5.4
COMPUTATIONAL
STUDY
.
68
5.5
'
CONCLUSIONS
AND
FUTURE
WORK
.
70
6
DETERMINATION
OF
THE
ADMISSIBLE
SET
73
6.1
BACKGROUND
.
73
6.2
NON-CONVEXITY
OF
THE
ADMISSIBLE
SET
.
73
6.3
CALCULATION
OF
A
CONVEX
SUBSET
FOR
THE
ADMISSIBLE
SET
.
75
6.4
REFORMULATION
OF
THE
BILEVEL
PROBLEM
AS
AN
MILP
.
77
6.4.1
INFINITY
NORM
.
77
6.4.2
COMPLEMENTARITY
CONSTRAINTS
.
78
6.5
RELATIONSHIP
BETWEEN
THE
ADMISSIBLE
SET
AND
THE
REGION
OF
ATTRACTION
.
.
79
6.6
COMPUTATIONAL
STUDY
.
80
6.7
CONCLUSIONS
AND
FUTURE
WORK
.
81
7
SUMMARY
AND
EVALUATION
83
7.1
SUMMARY
.
83
7.2
EVALUATION
AND
IMPLEMENTATION
.
84
A
FUNDAMENTALS
87
A.1
CONVEX
OPTIMIZATION
.
87
A.
1.1
CONVEX
FUNCTIONS
.
87
A.
1.2
CONVEX
OPTIMIZATION
PROBLEMS
.
87
A.
1.3
FIRST-ORDER
OPTIMALITY
CONDITION
.
88
A.
1.4
LIPSCHITZ
CONTINUITY
.
88
A.
1.5
GRADIENT
METHODS
.
88
A.
2
DUALITY
.
89
A.
2.1
THE
LAGRANGIAN
.
89
A.
2.2
DUAL
FUNCTION
.
89
A.
2.3
THE
LAGRANGE
DUAL
PROBLEM
.
90
A.
2.4
SLATER
'
S
CONSTRAINT
QUALIFICATION
.
90
A.
2.5
KKT
CONDITIONS
.
90
CONTENTS
IX
A.
3
DECOMPOSITION
METHODS
.
91
A.
3.1
PRIMAL
DECOMPOSITION
.
91
A.
3.2
DUAL
DECOMPOSITION
.
91
A.
4
ALTERNATING
DIRECTION
METHOD
OF
MULTIPLIERS
.
92
A.
5
MODEL
PREDICTIVE
CONTROL
.
93
B
BENCHMARK
SYSTEMS
95
B.1
BENCHMARK
SYSTEM
1
.
95
B.2
BENCHMARK
SYSTEM
2
.
96
B.3
BENCHMARK
SYSTEM
3
.
98
BIBLIOGRAPHY
100
CURRICULUM
VITAE
110 |
| any_adam_object | 1 |
| any_adam_object_boolean | 1 |
| author | Rostami, Ramin 1984- |
| author_GND | (DE-588)1266502076 |
| author_facet | Rostami, Ramin 1984- |
| author_role | aut |
| author_sort | Rostami, Ramin 1984- |
| author_variant | r r rr |
| building | Verbundindex |
| bvnumber | BV048519329 |
| classification_rvk | ZQ 5290 |
| ctrlnum | (OCoLC)1333698278 (DE-599)DNB1260567907 |
| discipline | Mess-/Steuerungs-/Regelungs-/Automatisierungstechnik / Mechatronik |
| discipline_str_mv | Mess-/Steuerungs-/Regelungs-/Automatisierungstechnik / Mechatronik |
| edition | 1. Auflage |
| format | Thesis Book |
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| genre | (DE-588)4113937-9 Hochschulschrift gnd-content |
| genre_facet | Hochschulschrift |
| id | DE-604.BV048519329 |
| illustrated | Illustrated |
| index_date | 2024-07-03T20:49:29Z |
| indexdate | 2024-07-10T09:40:23Z |
| institution | BVB |
| institution_GND | (DE-588)1064118135 |
| isbn | 9783844086898 3844086897 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-033896246 |
| oclc_num | 1333698278 |
| open_access_boolean | |
| owner | DE-83 |
| owner_facet | DE-83 |
| physical | 124 Seiten Illustrationen 21 cm x 14.8 cm, 182 g |
| publishDate | 2022 |
| publishDateSearch | 2022 |
| publishDateSort | 2022 |
| publisher | Shaker Verlag |
| record_format | marc |
| series | Forschungsberichte aus dem Lehrstuhl für Elektromobilität |
| series2 | Forschungsberichte aus dem Lehrstuhl für Elektromobilität |
| spelling | Rostami, Ramin 1984- Verfasser (DE-588)1266502076 aut Distributed model predictive control with reduced communication load Ramin Rostami 1. Auflage 202207 Düren Shaker Verlag 2022 124 Seiten Illustrationen 21 cm x 14.8 cm, 182 g txt rdacontent n rdamedia nc rdacarrier Forschungsberichte aus dem Lehrstuhl für Elektromobilität Band 5 Dissertation Technische Universität Kaiserslautern 2022 Modellprädiktive Regelung (DE-588)1135937567 gnd rswk-swf Feasibility Stability ADMM Optimization DMPC (DE-588)4113937-9 Hochschulschrift gnd-content Modellprädiktive Regelung (DE-588)1135937567 s DE-604 Shaker Verlag (DE-588)1064118135 pbl Forschungsberichte aus dem Lehrstuhl für Elektromobilität Band 5 (DE-604)BV048584985 5 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=033896246&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p vlb 20220622 DE-101 https://d-nb.info/provenance/plan#vlb |
| spellingShingle | Rostami, Ramin 1984- Distributed model predictive control with reduced communication load Forschungsberichte aus dem Lehrstuhl für Elektromobilität Modellprädiktive Regelung (DE-588)1135937567 gnd |
| subject_GND | (DE-588)1135937567 (DE-588)4113937-9 |
| title | Distributed model predictive control with reduced communication load |
| title_auth | Distributed model predictive control with reduced communication load |
| title_exact_search | Distributed model predictive control with reduced communication load |
| title_exact_search_txtP | Distributed model predictive control with reduced communication load |
| title_full | Distributed model predictive control with reduced communication load Ramin Rostami |
| title_fullStr | Distributed model predictive control with reduced communication load Ramin Rostami |
| title_full_unstemmed | Distributed model predictive control with reduced communication load Ramin Rostami |
| title_short | Distributed model predictive control with reduced communication load |
| title_sort | distributed model predictive control with reduced communication load |
| topic | Modellprädiktive Regelung (DE-588)1135937567 gnd |
| topic_facet | Modellprädiktive Regelung Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=033896246&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV048584985 |
| work_keys_str_mv | AT rostamiramin distributedmodelpredictivecontrolwithreducedcommunicationload AT shakerverlag distributedmodelpredictivecontrolwithreducedcommunicationload |