Fundamental limitations in filtering and control:
Gespeichert in:
Hauptverfasser: | , , |
---|---|
Format: | Buch |
Sprache: | German |
Veröffentlicht: |
London [u.a.]
Springer
1997
|
Schriftenreihe: | Communications and control engineering
|
Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | XIV, 369 S. graph. Darst. |
ISBN: | 3540761268 |
Internformat
MARC
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100 | 1 | |a Seron, María |d 1963- |e Verfasser |0 (DE-588)114740623 |4 aut | |
245 | 1 | 0 | |a Fundamental limitations in filtering and control |c María M. Seron, Julio H. Braslavsky and Graham C. Goodwin |
264 | 1 | |a London [u.a.] |b Springer |c 1997 | |
300 | |a XIV, 369 S. |b graph. Darst. | ||
336 | |b txt |2 rdacontent | ||
337 | |b n |2 rdamedia | ||
338 | |b nc |2 rdacarrier | ||
490 | 0 | |a Communications and control engineering | |
650 | 7 | |a Commande, Théorie de la |2 ram | |
650 | 7 | |a Controleleer |2 gtt | |
650 | 7 | |a Filtrage du signal |2 ram | |
650 | 7 | |a Filtres (mathématiques) |2 ram | |
650 | 7 | |a Fonctions analytiques |2 ram | |
650 | 7 | |a Prévision, Théorie de la |2 ram | |
650 | 7 | |a Systèmes à réaction |2 ram | |
650 | 7 | |a Terugkoppeling |2 gtt | |
650 | 7 | |a Traitement du signal |2 ram | |
650 | 7 | |a Transformation de Laplace |2 ram | |
650 | 4 | |a Feedback control systems | |
650 | 4 | |a Filters (Mathematics) | |
650 | 0 | 7 | |a Rückkopplung |0 (DE-588)4050851-1 |2 gnd |9 rswk-swf |
650 | 0 | 7 | |a Regelungssystem |0 (DE-588)4134712-2 |2 gnd |9 rswk-swf |
650 | 0 | 7 | |a Filter |0 (DE-588)4017157-7 |2 gnd |9 rswk-swf |
650 | 0 | 7 | |a Regelungstechnik |0 (DE-588)4076594-5 |2 gnd |9 rswk-swf |
650 | 0 | 7 | |a Kontrollsystem |0 (DE-588)4126040-5 |2 gnd |9 rswk-swf |
650 | 0 | 7 | |a Regelungstheorie |0 (DE-588)4122327-5 |2 gnd |9 rswk-swf |
650 | 0 | 7 | |a Filterschaltung |0 (DE-588)4113559-3 |2 gnd |9 rswk-swf |
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689 | 4 | 0 | |a Filter |0 (DE-588)4017157-7 |D s |
689 | 4 | |8 4\p |5 DE-604 | |
700 | 1 | |a Braslavsky, Julio H. |e Verfasser |4 aut | |
700 | 1 | |a Goodwin, Graham C. |d 1945- |e Verfasser |0 (DE-588)113168578 |4 aut | |
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883 | 1 | |8 4\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-007371229 |
Datensatz im Suchindex
_version_ | 1807683751601242112 |
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adam_text |
CONTENTS
I
INTRODUCTION
1
1
A
CHRONICLE
OF
SYSTEM
DESIGN
LIMITATIONS
3
1.1
INTRODUCTION
.
3
1.2
PERFORMANCE
LIMITATIONS
IN
DYNAMICAL
SYSTEMS
.
6
1.3
TIME
DOMAIN
CONSTRAINTS
.
9
1.3.1
INTEGRALS
ON
THE
STEP
RESPONSE
.
9
1.3.2
DESIGN
INTERPRETATIONS
.
13
1.3.3
EXAMPLE:
INVERTED
PENDULUM
.
16
1.4
FREQUENCY
DOMAIN
CONSTRAINTS
.
18
1.5
A
BRIEF
HISTORY
.
19
1.6
SUMMARY
.
20
NOTES
AND
REFERENCES
.
21
II
LIMITATIONS
IN
LINEAR
CONTROL
23
2
REVIEW
OF
GENERAL
CONCEPTS
25
2.1
LINEAR
TIME-INVARIANT
SYSTEMS
.
26
2.1.1
ZEROS
AND
POLES
.
27
2.1.2
SINGULAR
VALUES
.
29
X
CONTENTS
2.1.3
FREQUENCY
RESPONSE
.
29
2.1.4
COPRIME
FACTORIZATION
.
30
2.2
FEEDBACK
CONTROL
SYSTEMS
.
31
2.2.1
CLOSED-LOOP
STABILITY
.
32
2.2.2
SENSITIVITY
FUNCTIONS
.
32
2.2.3
PERFORMANCE
CONSIDERATIONS
.
33
2.2.4
ROBUSTNESS
CONSIDERATIONS
.
35
2.3
TWO
APPLICATIONS
OF
COMPLEX
INTEGRATION
.
36
2.3.1
NYQUIST
STABILITY
CRITERION
.
37
2.3.2
BODE
GAIN-PHASE
RELATIONSHIPS
.
40
2.4
SUMMARY
.
45
NOTES
AND
REFERENCES
.
45
3
SISO
CONTROL
47
3.1
BODE
INTEGRAL
FORMULAE
.
47
3.1.1
BODE'S
ATTENUATION
INTEGRAL
THEOREM
.
48
3.1.2
BODE
INTEGRALS
FOR
S
AND
T
.
51
3.1.3
DESIGN
INTERPRETATIONS
.
59
3.2
THE
WATER-BED
EFFECT
.
62
3.3
POISSON
INTEGRAL
FORMULAE
.
64
3.3.1
POISSON
INTEGRALS
FOR
S
AND
T
.
65
3.3.2
DESIGN
INTERPRETATIONS
.
67
3.3.3
EXAMPLE:
INVERTED
PENDULUM
.
73
3.4
DISCRETE
SYSTEMS
.
74
3.4.1
POISSON
INTEGRALS
FOR
S
AND
T
.
75
3.4.2
DESIGN
INTERPRETATIONS
.
78
3.4.3
BODE
INTEGRALS
FOR
S
AND
T
.
79
3.4.4
DESIGN
INTERPRETATIONS
.
81
3.5
SUMMARY
.
83
NOTES
AND
REFERENCES
.
84
4
MIMO
CONTROL
85
4.1
INTERPOLATION
CONSTRAINTS
.
85
4.2
BODE
INTEGRAL
FORMULAE
.
87
4.2.1
PRELIMINARIES
.
88
4.2.2
BODE
INTEGRALS
FOR
S
.
91
4.2.3
DESIGN
INTERPRETATIONS
.
96
4.3
POISSON
INTEGRAL
FORMULAE
.
98
4.3.1
PRELIMINARIES
.
98
P
4.3.2
POISSON
INTEGRALS
FOR
S
.
99
4.3.3
DESIGN
INTERPRETATIONS
.
102
4.3.4
THE
COST
OF
DECOUPLING
.
103
4.3.5
THE
IMPACT
OF
NEAR
POLE-ZERO
CANCELATIONS
.
105
CONTENTS
XI
4.3.6
EXAMPLES
.
107
4.4
DISCRETE
SYSTEMS
.
114
4.4.1
POISSON
INTEGRAL
FOR
S
.
114
4.5
SUMMARY
.
116
NOTES
AND
REFERENCES
.
116
5
EXTENSIONS
TO
PERIODIC
SYSTEMS
119
5.1
PERIODIC
DISCRETE-TIME
SYSTEMS
.
119
5.1.1
MODULATION
REPRESENTATION
.
120
5.2
SENSITIVITY
FUNCTIONS
.
123
5.3
INTEGRAL
CONSTRAINTS
.
124
5.4
DESIGN
INTERPRETATIONS
.
127
5.4.1
TIME-INVARIANT
MAP
AS
A
DESIGN
OBJECTIVE
.
127
5.4.2
PERIODIC
CONTROL
OF
TIME-INVARIANT
PLANT
.
130
5.5
SUMMARY
.
132
NOTES
AND
REFERENCES
.
132
6
EXTENSIONS
TO
SAMPLED-DATA
SYSTEMS
135
6.1
PRELIMINARIES
.
136
6.1.1
SIGNALS
AND
SYSTEM
.
136
6.1.2
SAMPLER,
HOLD
AND
DISCRETIZED
SYSTEM
.
137
6.1.3
CLOSED-LOOP
STABILITY
.
140
6.2
SENSITIVITY
FUNCTIONS
.
141
6.2.1
FREQUENCY
RESPONSE
.
141
6.2.2
SENSITIVITY
AND
ROBUSTNESS
.
143
6.3
INTERPOLATION
CONSTRAINTS
.
145
6.4
POISSON
INTEGRAL
FORMULAE
.
150
6.4.1
POISSON
INTEGRAL
FOR
S
.
150
6.4.2
POISSON
INTEGRAL
FOR
T
.
153
6.5
EXAMPLE:
ROBUSTNESS
OF
DISCRETE
ZERO
SHIFTING
.
156
6.6
SUMMARY
.
158
NOTES
AND
REFERENCES
.
158
III
LIMITATIONS
IN
LINEAR
FILTERING
161
7
GENERAL
CONCEPTS
163
7.1
GENERAL
FILTERING
PROBLEM
.
163
7.2
SENSITIVITY
FUNCTIONS
.
165
7.2.1
INTERPRETATION
OF
THE
SENSITIVITIES
.
167
7.2.2
FILTERING
AND
CONTROL
COMPLEMENTARITY
.
169
7.3
BOUNDED
ERROR
ESTIMATORS
.
172
7.3.1
UNBIASED
ESTIMATORS
.
176
XII
CONTENTS
7.4
SUMMARY
.
177
NOTES
AND
REFERENCES
.
177
8
SISO
FILTERING
179
8.1
INTERPOLATION
CONSTRAINTS
.
179
8.2
INTEGRAL
CONSTRAINTS
.
181
8.3
DESIGN
INTERPRETATIONS
.
184
8.4
EXAMPLES:
KALMAN
FILTER
.
189
8.5
EXAMPLE:
INVERTED
PENDULUM
.
194
8.6
SUMMARY
.
195
NOTES
AND
REFERENCES
.
195
9
MIMO
FILTERING
197
9.1
INTERPOLATION
CONSTRAINTS
.
198
9.2
POISSON
INTEGRAL
CONSTRAINTS
.
199
9.3
THE
COST
OF
DIAGONALIZATION
.
202
9.4
APPLICATION
TO
FAULT
DETECTION
.
205
9.5
SUMMARY
.
208
NOTES
AND
REFERENCES
.
209
10
EXTENSIONS
TO
SISO
PREDICTION
211
10.1
GENERAL
PREDICTION
PROBLEM
.
211
10.2
SENSITIVITY
FUNCTIONS
.
214
10.3
BEE
DERIVED
PREDICTORS
.
215
10.4
INTERPOLATION
CONSTRAINTS
.
216
10.5
INTEGRAL
CONSTRAINTS
.
219
10.6
EFFECT
OF
THE
PREDICTION
HORIZON
.
221
10.6.1
LARGE
VALUES
OF
T
.
221
10.6.2
INTERMEDIATE
VALUES
OF
T
.
222
10.7
SUMMARY
.
228
NOTES
AND
REFERENCES
.
228
11
EXTENSIONS
TO
SISO
SMOOTHING
229
11.1
GENERAL
SMOOTHING
PROBLEM
.
229
11.2
SENSITIVITY
FUNCTIONS
.
233
11.3
BEE
DERIVED
SMOOTHERS
.
233
11.4
INTERPOLATION
CONSTRAINTS
.
235
11.5
INTEGRAL
CONSTRAINTS
.
236
11.5.1
EFFECT
OF
THE
SMOOTHING
LAG
.
238
11.6
SENSITIVITY
IMPROVEMENT
OF
THE
OPTIMAL
SMOOTHER
.
239
11.7
SUMMARY
.
243
NOTES
AND
REFERENCES
.
244
CONTENTS
XIII
IV
LIMITATIONS
IN
NONLINEAR
CONTROL
AND
FILTERING
245
12
NONLINEAR
OPERATORS
247
12.1
NONLINEAR
OPERATORS
.
247
12.1.1
NONLINEAR
OPERATORS
ON
A
LINEAR
SPACE
.
248
12.1.2
NONLINEAR
OPERATORS
ON
A
BANACH
SPACE
.
249
12.1.3
NONLINEAR
OPERATORS
ON
A
HILBERT
SPACE
.
250
12.2
NONLINEAR
CANCELATIONS
.
251
12.2.1
NONLINEAR
OPERATORS
ON
EXTENDED
BANACH
SPACES
.
.
252
12.3
SUMMARY
.
254
NOTES
AND
REFERENCES
.
254
13
NONLINEAR
CONTROL
255
13.1
REVIEW
OF
LINEAR
SENSITIVITY
RELATIONS
.
255
13.2
A
COMPLEMENTARITY
CONSTRAINT
.
256
13.3
SENSITIVITY
LIMITATIONS
.
258
13.4
THE
WATER-BED
EFFECT
.
260
13.5
SENSITIVITY
AND
STABILITY
ROBUSTNESS
.
262
13.6
SUMMARY
.
264
NOTES
AND
REFERENCES
.
265
14
NONLINEAR
FILTERING
267
14.1
A
COMPLEMENTARITY
CONSTRAINT
.
267
14.2
BOUNDED
ERROR
NONLINEAR
ESTIMATION
.
270
14.3
SENSITIVITY
LIMITATIONS
.
271
14.4
SUMMARY
.
273
NOTES
AND
REFERENCES
.
273
A
REVIEW
OF
COMPLEX
VARIABLE
THEORY
275
A.L
FUNCTIONS,
DOMAINS
AND
REGIONS
.
275
A.2
COMPLEX
DIFFERENTIATION
.
276
A.3
ANALYTIC
FUNCTIONS
.
278
A.3.1
HARMONIC
FUNCTIONS
.
280
A.4
COMPLEX
INTEGRATION
.
281
A.4.1
CURVES
.
281
A.4.2
INTEGRALS
.
283
A.5
MAIN
INTEGRAL
THEOREMS
.
289
A.5.1
GREEN'S
THEOREM
.
289
A.5.2
THE
CAUCHY
INTEGRAL
THEOREM
.
291
A.5.3
EXTENSIONS
OF
CAUCHY'S
INTEGRAL
THEOREM
.
293
A.5.4
THE
CAUCHY
INTEGRAL
FORMULA
.
296
A.6
THE
POISSON
INTEGRAL
FORMULA
.
298
A.6.1
FORMULA
FOR
THE
HALF
PLANE
.
298
XIV
CONTENTS
A.6.2
FORMULA
FOR
THE
DISK
.
302
A.7
POWER
SERIES
.
304
A.7.1
DERIVATIVES
OF
ANALYTIC
FUNCTIONS
.
304
A.7.2
TAYLOR
SERIES
.
306
A.7.3
LAURENT
SERIES
.
309
A.8
SINGULARITIES
.
311
A.8.1
ISOLATED
SINGULARITIES
.
311
A.8.2
BRANCHPOINTS
.
313
A.9
INTEGRATION
OF
FUNCTIONS
WITH
SINGULARITIES
.
315
A.9.1
FUNCTIONS
WITH
ISOLATED
SINGULARITIES
.
315
A.9.2
FUNCTIONS
WITH
BRANCH
POINTS
.
319
A.10
THE
MAXIMUM
MODULUS
PRINCIPLE
.
321
A.11
ENTIRE
FUNCTIONS
.
322
NOTES
AND
REFERENCES
.
325
B
PROOFS
OF
SOME
RESULTS
IN
THE
CHAPTERS
327
B.L
PROOFS
FOR
CHAPTER
4
.
327
B.2
PROOFS
FOR
CHAPTER
6
.
334
B.2.1
PROOF
OF
LEMMA
6.2.2
.
334
B.2.2
PROOF
OF
LEMMA
6.2.4
.
339
B.2.3
PROOF
OF
LEMMA
6.2.5
.
341
C
THE
LAPLACE
TRANSFORM
OF
THE
PREDICTION
ERROR
343
D
LEAST
SQUARES
SMOOTHER
SENSITIVITIES
FOR
LARGE
T
347
REFERENCES
351
INDEX
359 |
any_adam_object | 1 |
author | Seron, María 1963- Braslavsky, Julio H. Goodwin, Graham C. 1945- |
author_GND | (DE-588)114740623 (DE-588)113168578 |
author_facet | Seron, María 1963- Braslavsky, Julio H. Goodwin, Graham C. 1945- |
author_role | aut aut aut |
author_sort | Seron, María 1963- |
author_variant | m s ms j h b jh jhb g c g gc gcg |
building | Verbundindex |
bvnumber | BV011008884 |
callnumber-first | T - Technology |
callnumber-label | TJ216 |
callnumber-raw | TJ216 |
callnumber-search | TJ216 |
callnumber-sort | TJ 3216 |
callnumber-subject | TJ - Mechanical Engineering and Machinery |
classification_rvk | ZQ 5060 |
classification_tum | MSR 610f |
ctrlnum | (OCoLC)35714817 (DE-599)BVBBV011008884 |
dewey-full | 629.8/3 |
dewey-hundreds | 600 - Technology (Applied sciences) |
dewey-ones | 629 - Other branches of engineering |
dewey-raw | 629.8/3 |
dewey-search | 629.8/3 |
dewey-sort | 3629.8 13 |
dewey-tens | 620 - Engineering and allied operations |
discipline | Mess-/Steuerungs-/Regelungs-/Automatisierungstechnik Mess-/Steuerungs-/Regelungs-/Automatisierungstechnik / Mechatronik |
format | Book |
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id | DE-604.BV011008884 |
illustrated | Illustrated |
indexdate | 2024-08-18T00:39:24Z |
institution | BVB |
isbn | 3540761268 |
language | German |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007371229 |
oclc_num | 35714817 |
open_access_boolean | |
owner | DE-29T DE-91 DE-BY-TUM |
owner_facet | DE-29T DE-91 DE-BY-TUM |
physical | XIV, 369 S. graph. Darst. |
publishDate | 1997 |
publishDateSearch | 1997 |
publishDateSort | 1997 |
publisher | Springer |
record_format | marc |
series2 | Communications and control engineering |
spelling | Seron, María 1963- Verfasser (DE-588)114740623 aut Fundamental limitations in filtering and control María M. Seron, Julio H. Braslavsky and Graham C. Goodwin London [u.a.] Springer 1997 XIV, 369 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Communications and control engineering Commande, Théorie de la ram Controleleer gtt Filtrage du signal ram Filtres (mathématiques) ram Fonctions analytiques ram Prévision, Théorie de la ram Systèmes à réaction ram Terugkoppeling gtt Traitement du signal ram Transformation de Laplace ram Feedback control systems Filters (Mathematics) Rückkopplung (DE-588)4050851-1 gnd rswk-swf Regelungssystem (DE-588)4134712-2 gnd rswk-swf Filter (DE-588)4017157-7 gnd rswk-swf Regelungstechnik (DE-588)4076594-5 gnd rswk-swf Kontrollsystem (DE-588)4126040-5 gnd rswk-swf Regelungstheorie (DE-588)4122327-5 gnd rswk-swf Filterschaltung (DE-588)4113559-3 gnd rswk-swf Regelungstheorie (DE-588)4122327-5 s DE-604 Rückkopplung (DE-588)4050851-1 s Regelungssystem (DE-588)4134712-2 s Filterschaltung (DE-588)4113559-3 s 1\p DE-604 Kontrollsystem (DE-588)4126040-5 s 2\p DE-604 Regelungstechnik (DE-588)4076594-5 s 3\p DE-604 Filter (DE-588)4017157-7 s 4\p DE-604 Braslavsky, Julio H. Verfasser aut Goodwin, Graham C. 1945- Verfasser (DE-588)113168578 aut DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007371229&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
spellingShingle | Seron, María 1963- Braslavsky, Julio H. Goodwin, Graham C. 1945- Fundamental limitations in filtering and control Commande, Théorie de la ram Controleleer gtt Filtrage du signal ram Filtres (mathématiques) ram Fonctions analytiques ram Prévision, Théorie de la ram Systèmes à réaction ram Terugkoppeling gtt Traitement du signal ram Transformation de Laplace ram Feedback control systems Filters (Mathematics) Rückkopplung (DE-588)4050851-1 gnd Regelungssystem (DE-588)4134712-2 gnd Filter (DE-588)4017157-7 gnd Regelungstechnik (DE-588)4076594-5 gnd Kontrollsystem (DE-588)4126040-5 gnd Regelungstheorie (DE-588)4122327-5 gnd Filterschaltung (DE-588)4113559-3 gnd |
subject_GND | (DE-588)4050851-1 (DE-588)4134712-2 (DE-588)4017157-7 (DE-588)4076594-5 (DE-588)4126040-5 (DE-588)4122327-5 (DE-588)4113559-3 |
title | Fundamental limitations in filtering and control |
title_auth | Fundamental limitations in filtering and control |
title_exact_search | Fundamental limitations in filtering and control |
title_full | Fundamental limitations in filtering and control María M. Seron, Julio H. Braslavsky and Graham C. Goodwin |
title_fullStr | Fundamental limitations in filtering and control María M. Seron, Julio H. Braslavsky and Graham C. Goodwin |
title_full_unstemmed | Fundamental limitations in filtering and control María M. Seron, Julio H. Braslavsky and Graham C. Goodwin |
title_short | Fundamental limitations in filtering and control |
title_sort | fundamental limitations in filtering and control |
topic | Commande, Théorie de la ram Controleleer gtt Filtrage du signal ram Filtres (mathématiques) ram Fonctions analytiques ram Prévision, Théorie de la ram Systèmes à réaction ram Terugkoppeling gtt Traitement du signal ram Transformation de Laplace ram Feedback control systems Filters (Mathematics) Rückkopplung (DE-588)4050851-1 gnd Regelungssystem (DE-588)4134712-2 gnd Filter (DE-588)4017157-7 gnd Regelungstechnik (DE-588)4076594-5 gnd Kontrollsystem (DE-588)4126040-5 gnd Regelungstheorie (DE-588)4122327-5 gnd Filterschaltung (DE-588)4113559-3 gnd |
topic_facet | Commande, Théorie de la Controleleer Filtrage du signal Filtres (mathématiques) Fonctions analytiques Prévision, Théorie de la Systèmes à réaction Terugkoppeling Traitement du signal Transformation de Laplace Feedback control systems Filters (Mathematics) Rückkopplung Regelungssystem Filter Regelungstechnik Kontrollsystem Regelungstheorie Filterschaltung |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007371229&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
work_keys_str_mv | AT seronmaria fundamentallimitationsinfilteringandcontrol AT braslavskyjulioh fundamentallimitationsinfilteringandcontrol AT goodwingrahamc fundamentallimitationsinfilteringandcontrol |