Observer design for nonlinear systems with reduced observability properties:
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Düsseldorf
VDI-Verl.
2003
|
| Edition: | Als Ms. gedr. |
| Series: | Fortschritt-Berichte VDI
Reihe 8, Meß-, Steuerungs- und Regelungstechnik ; 999 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Zugl.: Stuttgart, Univ., Diss. |
| Physical Description: | XIV, 100 S. graph. Darst. : 21 cm |
| ISBN: | 3183999080 |
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MARC
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| 100 | 1 | |a Vargas, Alejandro |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Observer design for nonlinear systems with reduced observability properties |c Alejandro Vargas |
| 250 | |a Als Ms. gedr. | ||
| 264 | 1 | |a Düsseldorf |b VDI-Verl. |c 2003 | |
| 300 | |a XIV, 100 S. |b graph. Darst. : 21 cm | ||
| 336 | |b txt |2 rdacontent | ||
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| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Fortschritt-Berichte VDI : Reihe 8, Meß-, Steuerungs- und Regelungstechnik |v 999 | |
| 500 | |a Zugl.: Stuttgart, Univ., Diss. | ||
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| adam_text |
CONTENTS
LIST
OF
SYMBOLS
VIII
ZUSAMMENFASSUNG
XII
1
INTRODUCTION
1
1.1
REDUCED
OBSERVABILITY
PROPERTIES
.
1
1.2
CONTRIBUTIONS
OF
THE
THESIS
.
4
1.3
OUTLINE
OF
THE
THESIS
.
5
1.4
NOTATION
.
6
2
OBSERVABILITY
AND
OBSERVER
DESIGN
8
2.1
OBSERVABILITY
AND
THE
OBSERVABILITY
MAP
.
9
2.2
OBSERVER
DESIGN
TECHNIQUES
.
12
2.3
THE
HIGH
GAIN
OBSERVER
.
14
2.3.1
THE
N-OBSERVABILITY
FORM
.
14
2.3.2
THE
HIGH
GAIN
OBSERVER
.
14
2.3.3
PROOF
OF
CONVERGENCE
.
16
2.4
OBSERVABILITY
REDUCTIONS
.
18
3
ORDER
EXTENSIONS
21
3.1
HIGH
GAIN
AND
CONTINUOUS
OBSERVERS
.
22
3.2
ORDER
EXTENSIONS
.
24
3.3
EXTENSION
CONSTRUCTION
.
26
3.3.1
EXTENSION
CONSTRUCTION
USING
OUTPUT
DERIVATIVES
.
26
3.3.2
EXTENSION
CONSTRUCTION
USING
STRUCTURES
.
28
3.4
SHORTCOMINGS
.
30
3.5
SUMMARY
.
31
4
APPROXIMATE
CONTINUOUS
OBSERVERS
32
4.1
CONTINUOUS
OBSERVERS
.
32
4.2
TRAJECTORY
SEMI-EQUIVALENCE
.
34
CONTENTS
4.3
APPROXIMATE
HIGH
GAIN
OBSERVER
.
38
4.4
SUMMARY
.
42
5
EVENT-BASED
OBSERVERS
44
5.1
EVENTS
AND
THE
PSEUDO-OBSERVABILITY
FORM
.
45
5.1.1
THE
SUSPENSION
MAP
.
45
5.1.2
A
NEIGHBORHOOD
OF
BAD
INPUT
POINTS
AND
OTHER
SETS
.
.
45
5.1.3
THE
PSEUDO-OBSERVABILITY
FORM
.
47
5.1.4
EVENTS
AND
ADMISSIBLE
TRAJECTORIES
.
51
5.2
CONTINUOUS
HIGH
GAIN
EBO
.
52
5.2.1
STATEMENT
OF
RESULT
.
52
5.2.2
PROOF
OF
THEOREM
5.2
.
53
5.2.3
THE
ALGEBRAIC
PART
AND
SOME
REMARKS
.
54
5.2.4
EXAMPLE
.
55
5.3
IMPLEMENTATION
IN
ORIGINAL
COORDINATES
.
57
5.3.1
STATEMENT
OF
RESULT
.
57
5.3.2
PROOF
OF
THEOREM
5.3
.
58
5.3.3
EXAMPLE
.
61
5.4
SUMMARY
.
62
6
A
BIOREACTOR
EXAMPLE
63
6.1
MATHEMATICAL
MODEL
.
63
6.2
ORDER
EXTENSION
.
65
6.3
OBSERVER
DESIGN
.
66
6.3.1
AN
OBSERVABILITY
FORM
WITH
OUTPUT
INJECTION
.
66
6.3.2
CONTINUOUS
EVENT-BASED
OBSERVER
.
68
6.3.3
IMPLEMENTATION
IN
THE
ORIGINAL
COORDINATES
.
69
6.4
SIMULATION
RESULTS
.
71
6.5
SUMMARY
.
75
7
CONCLUSIONS
76
A
USEFUL
THEOREMS
AND
DEFINITIONS
79
A.L
TOPOLOGICAL
CONCEPTS
.
79
A.2
FUNCTIONS
AND
MAPPINGS
.
81
B
PROPERTIES
OF
THE
MATRIX
S#
83
B.L
POSITIVE
DEFINITENESS
.
83
B.2
EXPLICIT
SOLUTION
.
84
B.3
PROPERTIES
OF
THE
NORM
||
YY
||S
9
.
84
VI
CONTENTS
C
THE
AEROBIC
BIOREACTOR
MODEL
86
C.L
RIGOROUS
MATHEMATICAL
MODEL
.
86
C.2
SIMPLIFIED
MATHEMATICAL
MODEL
.
88
C.3
DETERMINATION
OF
BAD
INPUT
FUNCTIONS
.
90
C.4
OBSERVABILITY
ANALYSIS
.
91
C.5
ORDER
EXTENSION
.
92
D
PARAMETERS
OF
THE
BIOREACTOR
MODEL
94
BIBLIOGRAPHY
95
VII |
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| edition | Als Ms. gedr. |
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| genre_facet | Hochschulschrift |
| id | DE-604.BV017514741 |
| illustrated | Illustrated |
| indexdate | 2024-08-24T00:14:06Z |
| institution | BVB |
| isbn | 3183999080 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-010547916 |
| oclc_num | 723109360 |
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| physical | XIV, 100 S. graph. Darst. : 21 cm |
| publishDate | 2003 |
| publishDateSearch | 2003 |
| publishDateSort | 2003 |
| publisher | VDI-Verl. |
| record_format | marc |
| series | Fortschritt-Berichte VDI |
| series2 | Fortschritt-Berichte VDI : Reihe 8, Meß-, Steuerungs- und Regelungstechnik |
| spelling | Vargas, Alejandro Verfasser aut Observer design for nonlinear systems with reduced observability properties Alejandro Vargas Als Ms. gedr. Düsseldorf VDI-Verl. 2003 XIV, 100 S. graph. Darst. : 21 cm txt rdacontent n rdamedia nc rdacarrier Fortschritt-Berichte VDI : Reihe 8, Meß-, Steuerungs- und Regelungstechnik 999 Zugl.: Stuttgart, Univ., Diss. Nichtlineares System (DE-588)4042110-7 gnd rswk-swf Beobachter Kybernetik (DE-588)4139504-9 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Nichtlineares System (DE-588)4042110-7 s Beobachter Kybernetik (DE-588)4139504-9 s DE-604 Fortschritt-Berichte VDI Reihe 8, Meß-, Steuerungs- und Regelungstechnik ; 999 (DE-604)BV000882482 999 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010547916&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Vargas, Alejandro Observer design for nonlinear systems with reduced observability properties Fortschritt-Berichte VDI Nichtlineares System (DE-588)4042110-7 gnd Beobachter Kybernetik (DE-588)4139504-9 gnd |
| subject_GND | (DE-588)4042110-7 (DE-588)4139504-9 (DE-588)4113937-9 |
| title | Observer design for nonlinear systems with reduced observability properties |
| title_auth | Observer design for nonlinear systems with reduced observability properties |
| title_exact_search | Observer design for nonlinear systems with reduced observability properties |
| title_full | Observer design for nonlinear systems with reduced observability properties Alejandro Vargas |
| title_fullStr | Observer design for nonlinear systems with reduced observability properties Alejandro Vargas |
| title_full_unstemmed | Observer design for nonlinear systems with reduced observability properties Alejandro Vargas |
| title_short | Observer design for nonlinear systems with reduced observability properties |
| title_sort | observer design for nonlinear systems with reduced observability properties |
| topic | Nichtlineares System (DE-588)4042110-7 gnd Beobachter Kybernetik (DE-588)4139504-9 gnd |
| topic_facet | Nichtlineares System Beobachter Kybernetik Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010547916&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000882482 |
| work_keys_str_mv | AT vargasalejandro observerdesignfornonlinearsystemswithreducedobservabilityproperties |