Robust control of infinite dimensional systems: frequency domain methods
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
London [u.a.]
Springer
1996
|
| Series: | Lecture notes in control and information sciences
209 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 218 S. graph. Darst. |
| ISBN: | 3540199942 |
Staff View
MARC
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| 245 | 1 | 0 | |a Robust control of infinite dimensional systems |b frequency domain methods |c Ciprian Foias ; Hitay Özbay and Allen Tannenbaum |
| 264 | 1 | |a London [u.a.] |b Springer |c 1996 | |
| 300 | |a 218 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Lecture notes in control and information sciences |v 209 | |
| 650 | 7 | |a Controleleer |2 gtt | |
| 650 | 7 | |a Oneindige dimensie |2 gtt | |
| 650 | 4 | |a Linear control systems | |
| 650 | 4 | |a System analysis | |
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| 650 | 0 | 7 | |a Lineares zeitinvariantes System |0 (DE-588)4213494-8 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Hardy-Raum |0 (DE-588)4159109-4 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Unendlichdimensionales System |0 (DE-588)4207956-1 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Robuste Regelung |0 (DE-588)4206985-3 |2 gnd |9 rswk-swf |
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| 689 | 0 | 2 | |a Hardy-Raum |0 (DE-588)4159109-4 |D s |
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| 689 | 1 | 2 | |a Robuste Regelung |0 (DE-588)4206985-3 |D s |
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| 700 | 1 | |a Özbay, Hitay |e Verfasser |4 aut | |
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Record in the Search Index
| _version_ | 1805082788499554304 |
|---|---|
| adam_text |
CONTENTS
1
INTRODUCTION
5
1.1
ABOUT
THE
BOOK
.
5
1.2
7Y
CONTROL
OF
DISTRIBUTED
PLANTS
.
8
2
MATHEMATICAL
PRELIMINARIES
11
2.1
NOTATION
.
11
2.2
HARDY
SPACES
.
14
2.3
CONFORMAL
MAP
BETWEEN
C
+
AND
D
.
16
2.4
BOUNDED
LINEAR
OPERATORS
.
17
2.4.1
OPERATOR
NORM
AND
THE
ESSENTIAL
NORM
.
17
2.4.2
AS
BOUNDED
LINEAR
OPERATORS
ON
.
18
2.5
THE
SHIFT
OPERATOR
.
20
2.6
INNER-OUTER
FACTORIZATIONS
.
21
2.7
THE
COMPRESSED
SHIFT
OPERATOR
.
24
2.8
HANKEL
AND
TOEPLITZ
OPERATORS
.
31
2.9
GENERALIZED
INTERPOLATION
.
32
2.9.1
SARASON
'
S
THEOREM
.
33
2.9.2
NEVANLINNA-PICK
THEOREM
.
36
2.10
RIEMANN
MAPPING
THEOREM
.
41
2
CONTENTS
2.11
REMARKS
ON
NEVANLINNA-PICK
INTERPOLATION
.
45
2.11.1
SUBOPTIMAL
INTERPOLANTS
.
46
2.11.2
OPTIMAL
INTERPOLANT
.
48
2.11.3
AN
EXTENSION
OF
7
OP
T
.
49
3
ISSUES
IN
FEEDBACK
CONTROL
53
3.1
CLOSED
LOOP
STABILITY
.
53
3.2
CONTROLLER
PARAMETRIZATION
.
55
3.3
ROBUST
STABILITY
.
59
3.4
ROBUST
PERFORMANCE
.
65
3.5
DISTURBANCE
ATTENUATION
.
67
3.6
STANDARD
TT
CONTROL
PROBLEMS
.
69
3.6.1
TWO
BLOCK
PROBLEM
.
69
3.6.2
FOUR
BLOCK
PROBLEM
.
70
3.7
STABILITY
MARGIN
OPTIMIZATION
.
71
4
ONE
BLOCK
PROBLEMS
75
4.1
OPTIMAL
STABILITY
MARGIN
.
75
4.1.1
GENERALIZED
PROBLEM
.
75
4.1.2
GAIN
MARGIN
OPTIMIZATION
.
77
4.1.3
PHASE
MARGIN
OPTIMIZATION
.
78
4.2
INTERPOLATION
APPROACH
.
79
4.2.1
OPTIMAL
SENSITIVITY
.
79
4.2.2
ROBUST
STABILITY
.
80
4.2.3
INTERPOLATION
APPROACH
FOR
DELAY
SYSTEMS
.
81
4.3
SKEW
TOEPLITZ
APPROACH
.
84
4.3.1
NEHARI
'
S
RESULT
.
86
CONTENTS
3
4.3.2
SKEW
TOEPLITZ
OPERATORS
.
88
4.3.3
ON
THE
OPTIMAL
CONTROLLER
.
89
4.3.4
COMPUTATION
OF
7
OPL
.
91
4.3.5
OPTIMAL
CONTROLLER
.
100
4.3.6
EXAMPLE
.
102
4.3.7
SPECIAL
CASE:
FINITE
DIMENSIONAL
PLANTS
.
106
5
'H
CONTROL
OF
UNSTABLE
PLANTS
109
5.1
TWO
BLOCK
OPERATOR
.
109
5.2
REDUCTION
TO
ONE
BLOCK
.
114
5.3
STABLE
PLANT
CASE
.
116
5.4
UNSTABLE
PLANT
CASE
.
116
5.5
EXAMPLE
.
119
5.6
EXPLICIT
FORMULAE
FOR
2(N
+
T)
EQUATIONS
.
124
6
SUBOPTIMAL
7/
CONTROLLER
DESIGN
133
6.1
APPROXIMATION
OF
THE
OPTIMAL
CONTROLLER
.
135
6.1.1
OUTLINE
OF
THE
APPROXIMATION
METHOD
.
135
6.1.2
CONVERGENCE
RESULTS
.
137
6.2
SUBOPTIMAL
CONTROLLERS
VIA
AAK
THEORY
.
141
6.2.1
PROBLEM
DEFINITION
.
141
6.2.2
PROBLEM
SOLUTION
VIA
AAK
APPROACH
.
142
6.2.3
STRUCTURE
OF
ALL
7I
CONTROLLERS
.
146
6.2.4
EXAMPLE
.
148
7
BENCHMARK
EXAMPLES
153
7.1
TF
00
CONTROL
OF
A
FLEXIBLE
BEAM
.
153
7.1.1
BEAM
TRANSFER
FUNCTIONS
.
154
4
CONTENTS
7.1.2
7Y
OPTIMAL
CONTROL
OF
THE
BEAM
.
158
7.2
AN
UNSTABLE
DELAY
SYSTEM
.
164
8
H
CONTROL
OF
MIMO
SYSTEMS
169
8.1
FOUR
BLOCK
PROBLEM
.
169
8.2
COMPUTATION
OF
7
OPT
.
171
8.2.1
COMMUTANT
LIFTING
THEOREM
.
171
8.2.2
FOUR
BLOCK
OPERATOR
.
178
8.2.3
YOUNG
'
S
OPERATOR
.
181
8.2.4
REDUCTION
TO
ONE
BLOCK
PROBLEM
SETTING
.
184
8.3
MIMO
TWO
BLOCK
PROBLEM
.
187
9
NOTES
AND
REFERENCES
197
BIBLIOGRAPHY
201
LIST
OF
THEOREMS,
LEMMAS,
AND
ASSUMPTIONS
215
INDEX
217 |
| any_adam_object | 1 |
| author | Foiaş, Ciprian 1933-2020 Özbay, Hitay Tannenbaum, Allen |
| author_GND | (DE-588)172077648 |
| author_facet | Foiaş, Ciprian 1933-2020 Özbay, Hitay Tannenbaum, Allen |
| author_role | aut aut aut |
| author_sort | Foiaş, Ciprian 1933-2020 |
| author_variant | c f cf h ö hö a t at |
| building | Verbundindex |
| bvnumber | BV010560591 |
| callnumber-first | Q - Science |
| callnumber-label | QA402 |
| callnumber-raw | QA402 TJ220 |
| callnumber-search | QA402 TJ220 |
| callnumber-sort | QA 3402 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SI 845 |
| classification_tum | MSR 618f |
| ctrlnum | (OCoLC)889687719 (DE-599)BVBBV010560591 |
| dewey-full | 629.8312 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 629 - Other branches of engineering |
| dewey-raw | 629.8312 |
| dewey-search | 629.8312 |
| dewey-sort | 3629.8312 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Mathematik Mess-/Steuerungs-/Regelungs-/Automatisierungstechnik Mess-/Steuerungs-/Regelungs-/Automatisierungstechnik / Mechatronik |
| format | Book |
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| id | DE-604.BV010560591 |
| illustrated | Illustrated |
| indexdate | 2024-07-20T07:38:13Z |
| institution | BVB |
| isbn | 3540199942 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007040751 |
| oclc_num | 889687719 |
| open_access_boolean | |
| owner | DE-91 DE-BY-TUM DE-706 DE-634 DE-83 |
| owner_facet | DE-91 DE-BY-TUM DE-706 DE-634 DE-83 |
| physical | 218 S. graph. Darst. |
| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in control and information sciences |
| series2 | Lecture notes in control and information sciences |
| spelling | Foiaş, Ciprian 1933-2020 Verfasser (DE-588)172077648 aut Robust control of infinite dimensional systems frequency domain methods Ciprian Foias ; Hitay Özbay and Allen Tannenbaum London [u.a.] Springer 1996 218 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Lecture notes in control and information sciences 209 Controleleer gtt Oneindige dimensie gtt Linear control systems System analysis Robuste Kontrolle (DE-588)4232797-0 gnd rswk-swf Frequenzbereichsdarstellung (DE-588)4199376-7 gnd rswk-swf Lineares zeitinvariantes System (DE-588)4213494-8 gnd rswk-swf Hardy-Raum (DE-588)4159109-4 gnd rswk-swf Unendlichdimensionales System (DE-588)4207956-1 gnd rswk-swf Robuste Regelung (DE-588)4206985-3 gnd rswk-swf Unendlichdimensionales System (DE-588)4207956-1 s Lineares zeitinvariantes System (DE-588)4213494-8 s Hardy-Raum (DE-588)4159109-4 s Frequenzbereichsdarstellung (DE-588)4199376-7 s Robuste Kontrolle (DE-588)4232797-0 s DE-604 Robuste Regelung (DE-588)4206985-3 s Özbay, Hitay Verfasser aut Tannenbaum, Allen Verfasser aut Lecture notes in control and information sciences 209 (DE-604)BV005848579 209 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007040751&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Foiaş, Ciprian 1933-2020 Özbay, Hitay Tannenbaum, Allen Robust control of infinite dimensional systems frequency domain methods Lecture notes in control and information sciences Controleleer gtt Oneindige dimensie gtt Linear control systems System analysis Robuste Kontrolle (DE-588)4232797-0 gnd Frequenzbereichsdarstellung (DE-588)4199376-7 gnd Lineares zeitinvariantes System (DE-588)4213494-8 gnd Hardy-Raum (DE-588)4159109-4 gnd Unendlichdimensionales System (DE-588)4207956-1 gnd Robuste Regelung (DE-588)4206985-3 gnd |
| subject_GND | (DE-588)4232797-0 (DE-588)4199376-7 (DE-588)4213494-8 (DE-588)4159109-4 (DE-588)4207956-1 (DE-588)4206985-3 |
| title | Robust control of infinite dimensional systems frequency domain methods |
| title_auth | Robust control of infinite dimensional systems frequency domain methods |
| title_exact_search | Robust control of infinite dimensional systems frequency domain methods |
| title_full | Robust control of infinite dimensional systems frequency domain methods Ciprian Foias ; Hitay Özbay and Allen Tannenbaum |
| title_fullStr | Robust control of infinite dimensional systems frequency domain methods Ciprian Foias ; Hitay Özbay and Allen Tannenbaum |
| title_full_unstemmed | Robust control of infinite dimensional systems frequency domain methods Ciprian Foias ; Hitay Özbay and Allen Tannenbaum |
| title_short | Robust control of infinite dimensional systems |
| title_sort | robust control of infinite dimensional systems frequency domain methods |
| title_sub | frequency domain methods |
| topic | Controleleer gtt Oneindige dimensie gtt Linear control systems System analysis Robuste Kontrolle (DE-588)4232797-0 gnd Frequenzbereichsdarstellung (DE-588)4199376-7 gnd Lineares zeitinvariantes System (DE-588)4213494-8 gnd Hardy-Raum (DE-588)4159109-4 gnd Unendlichdimensionales System (DE-588)4207956-1 gnd Robuste Regelung (DE-588)4206985-3 gnd |
| topic_facet | Controleleer Oneindige dimensie Linear control systems System analysis Robuste Kontrolle Frequenzbereichsdarstellung Lineares zeitinvariantes System Hardy-Raum Unendlichdimensionales System Robuste Regelung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007040751&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV005848579 |
| work_keys_str_mv | AT foiasciprian robustcontrolofinfinitedimensionalsystemsfrequencydomainmethods AT ozbayhitay robustcontrolofinfinitedimensionalsystemsfrequencydomainmethods AT tannenbaumallen robustcontrolofinfinitedimensionalsystemsfrequencydomainmethods |