A Gain scheduling approach to model based fuzzy control:
Saved in:
| Main Author: | |
|---|---|
| Format: | Thesis Book |
| Language: | English |
| Published: |
Düsseldorf
VDI-Verl.
2000
|
| Edition: | Als Ms. gedr. |
| Series: | Verein Deutscher Ingenieure: [Fortschritt-Berichte VDI / 8]
837 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XII, 144 S. graph. Darst. |
| ISBN: | 3183837080 |
Staff View
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| 100 | 1 | |a Korba, Petr |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a A Gain scheduling approach to model based fuzzy control |c Petr Korba |
| 250 | |a Als Ms. gedr. | ||
| 264 | 1 | |a Düsseldorf |b VDI-Verl. |c 2000 | |
| 300 | |a XII, 144 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Verein Deutscher Ingenieure: [Fortschritt-Berichte VDI / 8] |v 837 | |
| 502 | |a Zugl.: Duisburg, Univ., Diss., 2000 | ||
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Record in the Search Index
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| adam_text |
CONTENTS
ACKNOWLEDGEMENT
III
NOMENCLATURE
VIII
ABSTRACT
XI
KURZFASSUNG
XII
1
INTRODUCTION
1
1.1
HEURISTICS-BASED
FUZZY
CONTROL
.
1
1.2
MODEL-BASED
FUZZY
CONTROL
.
2
1.3
FUZZY
CONTROLLERS
.
3
1.4
MOTIVATION
AND
GOALS
.
4
1.5
OUTLINE
OF
THE
THESIS
.
6
1.6
RESUME
.
7
2
FUZZY
LOGIC
AND
FUZZY
MODELS
8
2.1
FUZZY
SETS
AND
FUZZY
LOGIC
.
8
2.2
FUZZY
MODELS
.
10
2.3
MAMDANI
FUZZY
MODELS
.
11
2.4
TAKAGI-SUGENO
FUZZY
MODEL
.
12
2.4.1
ALGORITHM
OF
REASONING
.
12
2.4.2
PROPERTIES
OF
TAKAGI-SUGENO
FUZZY
REASONING
.
12
2.4.3
LINEAR
TAKAGI-SUGENO
FUZZY
MODELS
.
13
2.5
CONCLUSION
.
16
3
ON
CONCEPTS
OF
STABILITY
17
3.1
EQUILIBRIUM
POINTS
AND
STABILITY
CONCEPTS
.
17
3.2
STABILITY
DEFINITIONS
.
18
3.2.1
STABILITY
OF
LINEAR
SYSTEMS
.
19
3.2.2
LINEAR
TIME-INVARIANT
SYSTEMS
.
21
3.3
DIRECT
METHOD
OF
LYAPUNOV
.
21
3.4
LINEAR
TIME-VARYING
SYSTEMS
.
25
3.5
CONCLUSION
.
27
4
LMIS
AND
CONVEX
OPTIMIZATION
TECHNIQUES
28
4.1
CONVEX
OPTIMIZATION
TECHNIQUES
.
28
4.2
LINEAR
MATRIX
INEQUALITIES
.
28
4.3
DIFFERENTIAL
INCLUSIONS
.
29
4.4
STANDARD
LMI-PROBLEMS
.
30
4.5
CONCLUSION
.
31
VI
A
GAIN
SCHEDULING
APPROACH
TO
MODEL
BASED
FUZZY
CONTROL
5
FUZZY
GAIN-SCHEDULED
CONTROL
32
5.1
FUZZY
GAIN-SCHEDULING
(FGS)
.
32
5.1.1
A
MOTIVATION
TO
FGS
.
32
5.1.2
GAIN-SCHEDULED
APPROACHES
.
33
5.1.3
APPROXIMATION
OF
NONLINEAR
SYSTEMS
BY
FUZZY
MODELS
.
35
5.2
FGS
FROM
THE
VIEWPOINT
OF
LINEAR
PARAMETER
VARYING
(LPV)
SYSTEMS
.
39
5.2.1
STRUCTURE
AND
TERMINOLOGY
.
39
5.2.2
DESCRIPTION
OF
LPV
SYSTEMS
.
40
5.2.3
GAIN-SCHEDULED
CONTROL
VS.
ROBUST
CONTROL
.
43
5.2.4
CATEGORIZATION
OF
LPV
SYSTEMS
.
44
5.2.5
ON
THE
STABILITY
OF
GAIN-SCHEDULED
SYSTEMS
.
44
5.3
LOCAL
LINEAR
MODELS
IN
MULTIPLE
MODEL
STRUCTURES
.
47
5.3.1
MULTIPLE
LYAPUNOV
LINEARIZATION
.
47
5.3.2
STABILITY
ISSUES
FOR
ATS
FUZZY
MODELS
.
49
5.4
CONCLUSION
.
50
6
ANALYSIS
AND
SYNTHESIS
OF
STABILIZING
FGS
CONTROLLERS
51
6.1
FUZZY
SCHEDULER
.
51
6.2
CLOSED
LOOP
.
53
6.3
STABILITY:
LMI-TECHNIQUES
FOR
ANALYSIS
OF
FGS
CONTROLLERS
.
54
6.3.1
BASIC
STABILITY
CONDITIONS
FOR
UNFORCED
LTS
FUZZY
SYSTEMS
.
54
6.3.2
STABILITY
CONDITIONS
FOR
CLOSED-LOOP
LTS
FUZZY
SYSTEMS
.
56
6.3.3
RELAXED
STABILITY
CONDITIONS
FOR
LTS
FUZZY
SYSTEMS
.
57
6.4
LMI-TECHNIQUES
FOR
SYNTHESIS
OF
STABILIZING
FGS
CONTROLLERS
.
57
6.5
CONCLUSION
.
59
7
IMPROVEMENTS
OF
STABILIZING
FGS
CONTROLLERS
60
7.1
AN
EXTENSION
OF
GAIN-SCHEDULERS
.
60
7.2
FUZZY
STATE
ESTIMATORS
.
62
7.3
PERFORMANCE
ISSUES
.
66
7.3.1
DECAY
RATES
.
67
7.3.2
REGIONAL
EIGENVALUE
CONSTRAINTS
.
71
7.3.3
CONSTRAINTS
ON
CONTROL
SIGNALS
.
76
7.4
DESIGN
STRATEGIES
.
77
7.5
CONCLUSION
.
83
8
EXAMPLES
AND
APPLICATIONS
84
8.1
AN
INTRODUCTORY
FGS
DESIGN
EXAMPLE
.
84
8.2
THE
PROPOSED
FGS-APPROACH
VS.
AN
LCN-APPROACH
.
87
8.2.1
LCN-APPROACH
.
88
8.2.2
FGS-APPROACH
.
YY
.
90
8.3
INVERTED
PENDULUM
ON
A
CART
.
92
8.3.1
FUZZY
MODEL
OF
PENDULUM
.
92
8.3.2
FGS
CONTROL
LAW
.
94
8.4
LIQUID
LEVEL
CONTROL
.
98
8.4.1
FUZZY
MODEL
OF
THE
PLANT
.
99
8.4.2
CONTROLLER
DESIGN
AND
SIMULATION
RESULTS
.
100
8.5
TORA
NON-LINEAR
BENCHMARK
CONTROL
PROBLEM
.
102
8.5.1
PROBLEM
DESCRIPTION
.
103
8.5.2
FGS
CONTROL
LAW
.
105
8.5.3
RESULTS
.
106
CONTENTS
VII
9
SUMMARY
AND
FUTURE
WORK
109
9.1
SUMMARY
.
109
9.1.1
SURVEY
OF
FUZZY
CONTROL
AND
OTHER
TECHNIQUES
APPLIED
IN
THIS
WORK
.
109
9.1.2
NEW
APPROACH
TO
SYNTHESIS
OF
FUZZY
CONTROL
SYSTEMS
.
.
110
9.1.3
EXPERIENCES
GAINED
FROM
APPLICATIONS
.
ILL
9.2
FUTURE
WORK
.
112
APPENDICES
115
A
MATHEMATICAL
TOOLS
-
NOTATIONS
AND
DEFINITIONS
115
A.L
QUADRATIC
FORMS
.
115
A.2
DEFINITIONS
ON
MATRICES
.
115
A.3
LYAPUNOV
FUNCTIONS
AND
QUADRATIC
FORMS
.
116
A.4
SCHUR-COMPLEMENTS
.
117
A.5
S-PROCEDURE
AND
QUADRATIC
INEQUALITIES
.
117
A.6
POLYTOPES:
DEFINITION
AND
PROPERTIES
.
117
A.7
SEARCHING
CONVEX
COORDINATES
.
118
B
PROOFS
119
B.L
COMMON
INPUT
MATRIX
.
119
B.2
RESPONSE
TIME
IN
THE
LYAPUNOV
APPROACH
.
121
B.3
CONSTRAINTS
ON
CONTROL
SIGNALS
.
121
B.4
"
NON-SHARED
RULES
"
-CASE
IN
OBSERVER
DESIGNS
.
123
B.5
STABILITY
CONDITIONS
FOR
LTS
FUZZY
SYSTEMS
.
124
B.5.1
DISCRETE-TIME
CASE
.
124
B.5.2
CONTINUOUS-TIME
CASE
.
128
B.6
RELAXED
STABILITY
CONDITIONS
.
128
B.6.1
CONTINUOUS-TIME
CASE
.
129
B.6.2
DISCRETE-TIME
CASE
.
130
B.7
DECAY
RATES
IN
DISCRETE-TIME
DOMAIN
.
132
B.8
EXTENDED
LYAPUNOV
THEOREM
.
133
C
DESIGN
PARAMETERS
FROM
APPLICATIONS
134
C.L
INVERTED
PENDULUM
.
134
C.L.L
OBSERVER
DESIGNS
.
134
C.1.2
CONTROLLER
DESIGNS
.
135
C.1.3
AN
EXAMPLE
OF
A
SET
OF
LMI-CONSTRAINTS
FOR
THE
4-RULE
CONTROLLER
.
136
C.2
LIQUID
LEVEL
CONTROL
.
137
C.2.1
OBSERVER
DESIGN
.
137
C.2.2
CONTROLLER
DESIGNS
.
137
BIBLIOGRAPHY
138 |
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| author | Korba, Petr |
| author_facet | Korba, Petr |
| author_role | aut |
| author_sort | Korba, Petr |
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| building | Verbundindex |
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| classification_rvk | ZQ 5240 |
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| discipline | Mess-/Steuerungs-/Regelungs-/Automatisierungstechnik Mess-/Steuerungs-/Regelungs-/Automatisierungstechnik / Mechatronik |
| edition | Als Ms. gedr. |
| format | Thesis Book |
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| genre | (DE-588)4113937-9 Hochschulschrift gnd-content |
| genre_facet | Hochschulschrift |
| id | DE-604.BV013393751 |
| illustrated | Illustrated |
| indexdate | 2024-07-20T03:51:39Z |
| institution | BVB |
| isbn | 3183837080 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009137119 |
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| physical | XII, 144 S. graph. Darst. |
| publishDate | 2000 |
| publishDateSearch | 2000 |
| publishDateSort | 2000 |
| publisher | VDI-Verl. |
| record_format | marc |
| series2 | Verein Deutscher Ingenieure: [Fortschritt-Berichte VDI / 8] |
| spelling | Korba, Petr Verfasser aut A Gain scheduling approach to model based fuzzy control Petr Korba Als Ms. gedr. Düsseldorf VDI-Verl. 2000 XII, 144 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Verein Deutscher Ingenieure: [Fortschritt-Berichte VDI / 8] 837 Zugl.: Duisburg, Univ., Diss., 2000 Ljapunov-Funktion (DE-588)4274502-0 gnd rswk-swf Reglerentwurf (DE-588)4177447-4 gnd rswk-swf Nichtlineare Regelung (DE-588)4132964-8 gnd rswk-swf Matrizenungleichung (DE-588)4362530-7 gnd rswk-swf Folgeregelung (DE-588)4398913-5 gnd rswk-swf Fuzzy-Regelung (DE-588)4395755-9 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Nichtlineare Regelung (DE-588)4132964-8 s Fuzzy-Regelung (DE-588)4395755-9 s Folgeregelung (DE-588)4398913-5 s Reglerentwurf (DE-588)4177447-4 s Matrizenungleichung (DE-588)4362530-7 s Ljapunov-Funktion (DE-588)4274502-0 s DE-604 8] Verein Deutscher Ingenieure: [Fortschritt-Berichte VDI 837 (DE-604)BV000882482 837 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009137119&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Korba, Petr A Gain scheduling approach to model based fuzzy control Ljapunov-Funktion (DE-588)4274502-0 gnd Reglerentwurf (DE-588)4177447-4 gnd Nichtlineare Regelung (DE-588)4132964-8 gnd Matrizenungleichung (DE-588)4362530-7 gnd Folgeregelung (DE-588)4398913-5 gnd Fuzzy-Regelung (DE-588)4395755-9 gnd |
| subject_GND | (DE-588)4274502-0 (DE-588)4177447-4 (DE-588)4132964-8 (DE-588)4362530-7 (DE-588)4398913-5 (DE-588)4395755-9 (DE-588)4113937-9 |
| title | A Gain scheduling approach to model based fuzzy control |
| title_auth | A Gain scheduling approach to model based fuzzy control |
| title_exact_search | A Gain scheduling approach to model based fuzzy control |
| title_full | A Gain scheduling approach to model based fuzzy control Petr Korba |
| title_fullStr | A Gain scheduling approach to model based fuzzy control Petr Korba |
| title_full_unstemmed | A Gain scheduling approach to model based fuzzy control Petr Korba |
| title_short | A Gain scheduling approach to model based fuzzy control |
| title_sort | a gain scheduling approach to model based fuzzy control |
| topic | Ljapunov-Funktion (DE-588)4274502-0 gnd Reglerentwurf (DE-588)4177447-4 gnd Nichtlineare Regelung (DE-588)4132964-8 gnd Matrizenungleichung (DE-588)4362530-7 gnd Folgeregelung (DE-588)4398913-5 gnd Fuzzy-Regelung (DE-588)4395755-9 gnd |
| topic_facet | Ljapunov-Funktion Reglerentwurf Nichtlineare Regelung Matrizenungleichung Folgeregelung Fuzzy-Regelung Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009137119&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000882482 |
| work_keys_str_mv | AT korbapetr againschedulingapproachtomodelbasedfuzzycontrol |