Randomized algorithms aided analysis and design of model-based fault detection systems:
Saved in:
| Main Author: | |
|---|---|
| Format: | Thesis Book |
| Language: | English |
| Published: |
Herzogenrath
Shaker
2018
|
| Edition: | 1. Auflage |
| Series: | Berichte aus der Steuerungs- und Regelungstechnik
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 124 Seiten Illustrationen, Diagramme 21 cm x 14.8 cm, 212 g |
| ISBN: | 9783844057096 3844057099 |
Staff View
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| 245 | 1 | 0 | |a Randomized algorithms aided analysis and design of model-based fault detection systems |c Minjia Krüger |
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| 264 | 1 | |a Herzogenrath |b Shaker |c 2018 | |
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| 653 | |a randomized algorithms | ||
| 653 | |a robust observer design | ||
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Record in the Search Index
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| adam_text | C O N TE N TS
N OM ENCLATURE VII
1 INTRODUCTION 1
1.1 BACKGROUND AND M O TIV A TIO N
............................................................................
1
1.1.1 FAULT DETECTION IN MODERN CONTROL S Y S TE M S
........................................ 2
1.1.2 RANDOMIZED ALGORITHMS
...................................................................... 4
1.2 OBJECTIVE OF THE W
ORK.........................................................................................
4
1.3 OUTLINE OF THE THESIS
.........................................................................................
5
2 B ASICS O F F D TECHNIQUES 9
2.1 MATHEMATICAL DESCRIPTION OF LINEAR DYNAMIC SYSTEM
S..................................... 9
2.1.1 MATHEMATICAL DESCRIPTION OF LTI SYSTEM
S........................................... 9
2.1.2 MATHEMATICAL DESCRIPTION OF SYSTEMS WITH DISTURBANCE
.....................
10
2.1.3 MATHEMATICAL DESCRIPTION OF SYSTEMS WITH FAULT
..............................
10
2.1.4 MATHEMATICAL DESCRIPTION OF UNCERTAIN LTI S Y S TE M S
........................
11
2.2 COPRIME FACTORIZATION
........................................................................................
12
2.3 RESIDUAL GENERATION TECH N IQ U E
.........................................................................
13
2.3.1 RESIDUAL GENERATION TECHNIQUE FOR LTI SY STEM
S.................................. 14
2.3.2 RESIDUAL GENERATION TECHNIQUE FOR UNCERTAIN LTI S Y S TE M S
...............
15
2.4 EVALUATION FU N C TIO N
S.........................................................................................
17
2.5 THRESHOLD SETTING AND DETECTION LO G IC
............................................................. 18
2.6 CONCLUDING REM
ARKS............................................................................................
18
3 B ASICS O F R ANDOM IZED A LGORITHM S 21
3.1 RA-BASED PROBABILITY AND EXPECTED VALUE
ESTIMATION.........................................21
3.1.1 PROBABILITY E S TIM A TIO N
.........................................................................
21
3.1.2 EXPECTED VALUE ESTIM ATIO N
................................................................... 22
3.2 PROBABILITY INEQUALITIES
.....................................................................................
23
3.2.1 INEQUALITIES FOR SUM OF RANDOM V A RIA B LE
S........................................... 23
3.2.2 ESTIMATION OF EX TRE M U M
......................................................................
24
3.3 RA-AIDED PROBABILISTIC D E S IG N
.........................................................................
25
3.3.1 PROBLEM FORMULATION AND PERFORMANCE FUNCTIONS
....................................
25
3.3.2 SEQUENTIAL METHOD BASED PROBABILISTIC
DESIGN..................................... 27
3.3.3 SCENARIO METHOD BASED PROBABILISTIC
DESIGN........................................ 29
3.4 CONCLUDING REM
ARKS............................................................................................
29
4 R A -B ASED P ERFORM ANCE A SSESSM EN T O F F D SYSTEM S 31
4.1 PERFORMANCE EVALUATION OF FD S Y S TE M S
.......................................................... 31
4.2 PROBABILISTIC PROCESS MODEL
............................................................................
32
4.2.1 A PROBABILISTIC MODEL FOR UNCERTAINTIES AND UNKNOWN INPUTS .... 32
4.2.2 A PROBABILISTIC PARAMETER MODEL OF FAU
LTS............................................ 35
4.3 FAR DEFINITION AND RA-BASED FAR ESTIM ATIO N
.................................................. 37
4.4 FDR ESTIMATION AND RA-BASED FDR ESTIM A TIO N
........................................... 39
4.5 MT2FD DEFINITION AND RA-BASED MT2FD ESTIM A TIO N
.................................. 41
4.6 CONCLUDING REM
ARKS............................................................................................
44
5 R A -A IDED A PPROACHES FOR M OD EL-B ASED FD S Y STEM D ESIGN 45
5.1 PRELIMINARIES
.....................................................................................................
46
5.1.1 SYSTEM D
ESCRIPTION................................................................................
46
5.1.2 RESIDUAL
GENERATION................................................................................
46
5.1.3 REFERENCE MODEL SC H E M E
......................................................................
46
5.1.4 CONIC
PROJECTIONS...................................................................................
47
5.1.5 GRADIENT
CALCULATIONS.............................................................................
48
5.2 A RA-AIDED REFERENCE MODEL APPROACH BASED FD SYSTEM DESIGN
..................
51
5.2.1 SEQUENTIAL ALGORITHM FOR PROBABILISTIC FEASIBILITY TEST OF LMIS
.... 52
5.2.2 BALL-BASED PROBABILISTIC FD SYSTEM D E S IG N
........................................ 53
5.2.3 LOCAL LINEARIZATION APPROACH BASED PROBABILISTIC FD SYSTEM DESIGN
. 58
5.3 CONCLUDING REM
ARKS............................................................................................
64
6 A R A -A IDED A PPROACH FOR SIM ULATION-B ASED FD S YSTEM D ESIGN 65
6.1 MOTIVATION AND PROBLEM FORMULATION
.............................................................
65
6.2 PRELIMINARIES
.....................................................................................................
65
6.2.1 PERFORMANCE
INDICES................................................................................
66
6.2.2 %_ TO /HOQ DESIGN OF FD SYSTEMS
.......................................................
67
6.2.3 %- TO WOO DESIGN OF ROBUST FD SYSTEMS
..............................................
68
6.3 OBJECTIVE FUNCTION FOR ITERATIVE ROBUST FD SYSTEM D E S IG N
................................69
6.4 ITERATIVE DESIGN PROCEDURE OF ROBUST FD SY STEM
S........................................... 71
6.4.1 GRADIENT BASED UPDATE RULE
................................................................
71
6.4.2 BISECTION BASED UPDATE R U L E
................................................................
73
6.5 PROBABILISTIC ITERATIVE DESIGN OF ROBUST FD SYSTEMS
..................................... 74
6.5.1 VC-DIMENSION OF THE SIMULATION-BASED ROBUST FD SYSTEM DESIGN . .
74
6.5.2 SAMPLE COMPLEXITY B O U N D
...................................................................
76
6.6 CONCLUDING REM
ARKS............................................................................................
78
7 R A -B ASED T HRESHOLD S ETTIN G AND A LARM M ANAGEM ENT S Y STEM D
ESIGN 81
7.1 RA-BASED THRESHOLD SETTING FOR SINGLE FEATURE
EVALUATION............................... 82
7.1.1 NORM-BASED THRESHOLD SETTING M ETHOD
.................................................
82
7.1.2 CHERNOFF BOUND BASED THRESHOLD SE TTIN G
.............................................. 83
7.1.3 PROBABILISTIC THRESHOLD S E TTIN G
.............................................................
85
7.2 RA-BASED THRESHOLD SETTING FOR MULTI-FEATURE FD CONFIGURATION
......................
85
7.2.1 BRIEF INTRODUCTION TO S V M
...................................................................
86
7.2.2 PROBLEM FORMULATION OF MULTI-FEATURE THRESHOLD S E T T I N G
........................
88
7.2.3 COMPUTATIONAL T O O L S
.............................................................................
89
7.2.4 IMPLEMENTATION FORM OF THE OPTIMIZATION P RO B LEM
............................ 91
7.2.5 AN ILLUSTRATIVE EXAM
PLE..........................................................................
93
7.3 CONCLUDING REM
ARKS............................................................................................
95
8 B ENCHM ARK STU D Y 97
8.1 GENERAL DESCRIPTION OF THREE-TANK S Y S TE M
........................................................ 97
8.1.1 NOMINAL P LA N
T.........................................................................................
97
8.1.2 MODEL V A LID A TIO N
..................................................................................
98
8.1.3 SYSTEM UNCERTAINTY AND
DISTURBANCE.................................................... 98
8.1.4 FAULT SCENARIOS
........................................................................................100
8.2 OFF-LINE RESIDUAL GENERATOR D E S IG N
.....................................................................
101
8.2.1 REFERENCE MODEL BASED RESIDUAL GENERATOR DESIGN
.................................
101
8.2.2 SIMULATION-BASED RESIDUAL GENERATOR D ESIG N
..........................................
103
8.3 THRESHOLD S E TTIN G
.................................................................................................
104
8.3.1 SINGLE FEATURE CONFIGURATION
..................................................................
104
8.3.2 MULTI-FEATURE CONFIGURATION
.....................................................................
105
8.4 FD PERFORMANCE
EVALUATION..................................................................................106
8.4.1 OFF-LINE FD PERFORMANCE A N A LY S IS
.........................................................
106
8.4.2 REAL-TIME IMPLEMENTATION ON T T S 2 0
...................................................
107
8.5 CONCLUDING REM
ARKS..............................................................................................109
9 C ONCLUSIONS AND FUTURE WORK 111
B IBLIOGRAPHY 113
|
| any_adam_object | 1 |
| author | Krüger, Minjia 1986- |
| author_GND | (DE-588)1151650293 |
| author_facet | Krüger, Minjia 1986- |
| author_role | aut |
| author_sort | Krüger, Minjia 1986- |
| author_variant | m k mk |
| building | Verbundindex |
| bvnumber | BV044789915 |
| classification_rvk | ZG 9270 |
| ctrlnum | (OCoLC)1080950129 (DE-599)DNB1148575529 |
| dewey-full | 621.3 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 621 - Applied physics |
| dewey-raw | 621.3 |
| dewey-search | 621.3 |
| dewey-sort | 3621.3 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Technik Elektrotechnik / Elektronik / Nachrichtentechnik |
| edition | 1. Auflage |
| format | Thesis Book |
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| genre_facet | Hochschulschrift |
| id | DE-604.BV044789915 |
| illustrated | Illustrated |
| indexdate | 2024-07-10T08:01:47Z |
| institution | BVB |
| institution_GND | (DE-588)1064118135 |
| isbn | 9783844057096 3844057099 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030185159 |
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| open_access_boolean | |
| owner | DE-83 |
| owner_facet | DE-83 |
| physical | 124 Seiten Illustrationen, Diagramme 21 cm x 14.8 cm, 212 g |
| publishDate | 2018 |
| publishDateSearch | 2018 |
| publishDateSort | 2018 |
| publisher | Shaker |
| record_format | marc |
| series2 | Berichte aus der Steuerungs- und Regelungstechnik |
| spelling | Krüger, Minjia 1986- Verfasser (DE-588)1151650293 aut Randomized algorithms aided analysis and design of model-based fault detection systems Minjia Krüger 1. Auflage 201801 Herzogenrath Shaker 2018 124 Seiten Illustrationen, Diagramme 21 cm x 14.8 cm, 212 g txt rdacontent n rdamedia nc rdacarrier Berichte aus der Steuerungs- und Regelungstechnik Dissertation Universität Duisburg-Essen 2017 Prozessüberwachung (DE-588)4133922-8 gnd rswk-swf Unsicherheit (DE-588)4186957-6 gnd rswk-swf Fehlererkennung (DE-588)4133764-5 gnd rswk-swf Randomisierter Algorithmus (DE-588)4176929-6 gnd rswk-swf Prozessregelung (DE-588)4222919-4 gnd rswk-swf Beobachter Kybernetik (DE-588)4139504-9 gnd rswk-swf Benchmark (DE-588)4144457-7 gnd rswk-swf Lineares zeitinvariantes System (DE-588)4213494-8 gnd rswk-swf model based fault detection randomized algorithms robust observer design uncertain systems (DE-588)4113937-9 Hochschulschrift gnd-content Lineares zeitinvariantes System (DE-588)4213494-8 s Unsicherheit (DE-588)4186957-6 s Fehlererkennung (DE-588)4133764-5 s Randomisierter Algorithmus (DE-588)4176929-6 s Beobachter Kybernetik (DE-588)4139504-9 s Benchmark (DE-588)4144457-7 s Prozessüberwachung (DE-588)4133922-8 s Prozessregelung (DE-588)4222919-4 s DE-604 Shaker Verlag (DE-588)1064118135 pbl DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030185159&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Krüger, Minjia 1986- Randomized algorithms aided analysis and design of model-based fault detection systems Prozessüberwachung (DE-588)4133922-8 gnd Unsicherheit (DE-588)4186957-6 gnd Fehlererkennung (DE-588)4133764-5 gnd Randomisierter Algorithmus (DE-588)4176929-6 gnd Prozessregelung (DE-588)4222919-4 gnd Beobachter Kybernetik (DE-588)4139504-9 gnd Benchmark (DE-588)4144457-7 gnd Lineares zeitinvariantes System (DE-588)4213494-8 gnd |
| subject_GND | (DE-588)4133922-8 (DE-588)4186957-6 (DE-588)4133764-5 (DE-588)4176929-6 (DE-588)4222919-4 (DE-588)4139504-9 (DE-588)4144457-7 (DE-588)4213494-8 (DE-588)4113937-9 |
| title | Randomized algorithms aided analysis and design of model-based fault detection systems |
| title_auth | Randomized algorithms aided analysis and design of model-based fault detection systems |
| title_exact_search | Randomized algorithms aided analysis and design of model-based fault detection systems |
| title_full | Randomized algorithms aided analysis and design of model-based fault detection systems Minjia Krüger |
| title_fullStr | Randomized algorithms aided analysis and design of model-based fault detection systems Minjia Krüger |
| title_full_unstemmed | Randomized algorithms aided analysis and design of model-based fault detection systems Minjia Krüger |
| title_short | Randomized algorithms aided analysis and design of model-based fault detection systems |
| title_sort | randomized algorithms aided analysis and design of model based fault detection systems |
| topic | Prozessüberwachung (DE-588)4133922-8 gnd Unsicherheit (DE-588)4186957-6 gnd Fehlererkennung (DE-588)4133764-5 gnd Randomisierter Algorithmus (DE-588)4176929-6 gnd Prozessregelung (DE-588)4222919-4 gnd Beobachter Kybernetik (DE-588)4139504-9 gnd Benchmark (DE-588)4144457-7 gnd Lineares zeitinvariantes System (DE-588)4213494-8 gnd |
| topic_facet | Prozessüberwachung Unsicherheit Fehlererkennung Randomisierter Algorithmus Prozessregelung Beobachter Kybernetik Benchmark Lineares zeitinvariantes System Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030185159&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT krugerminjia randomizedalgorithmsaidedanalysisanddesignofmodelbasedfaultdetectionsystems AT shakerverlag randomizedalgorithmsaidedanalysisanddesignofmodelbasedfaultdetectionsystems |