Systems theory of nonlinear control: an introduction
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Aachen
Shaker
2000
|
| Series: | Steuerungs- und Regelungstechnik
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturverz. S. 538 - 544 |
| Physical Description: | VIII, 549 S. graph. Darst. : 23 cm |
| ISBN: | 3826575253 |
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MARC
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| 100 | 1 | |a Schwarz, Helmut |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Systems theory of nonlinear control |b an introduction |c Helmut Schwarz |
| 264 | 1 | |a Aachen |b Shaker |c 2000 | |
| 300 | |a VIII, 549 S. |b graph. Darst. : 23 cm | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Steuerungs- und Regelungstechnik | |
| 500 | |a Literaturverz. S. 538 - 544 | ||
| 650 | 0 | 7 | |a Nichtlineares dynamisches System |0 (DE-588)4126142-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Nichtlineares Regelungssystem |0 (DE-588)4276212-1 |2 gnd |9 rswk-swf |
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Record in the Search Index
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|---|---|
| adam_text |
CONTENTS
PREFACE
I
1
INTRODUCTION
1
1.1
PRELIMINARY
REMARKS
.
1
1.2
THE
NONLINEAR
CONTROL
SYSTEM
.
4
1.3
EXAMPLES
OF
NONLINEAR
CONTROL
SYSTEMS
.
10
1.4
CLASSES
OF
NONLINEAR
SYSTEMS
.
26
1.5
LINEAR
AND
NONLINEAR
SYSTEMS
THEORY
.
29
2
TRANSFER
MODELS
FOR
NONLINEAR
SYSTEMS
31
2.1
TRANSFER
AND
STATE-SPACE
MODELS
.
31
2.2
LINEAR
SYSTEMS
.
33
2.3
VOLTERRA
SERIES
FOR
NONLINEAR
SYSTEMS
.
37
2.4
VOLTERRA
KERNELS
IN
THE
TRANSFORMATION
DOMAIN
.
41
2.5
COMPOUND
SYSTEMS
IN
THE
TIME
DOMAIN
.
45
2.6
COMPOUND
SYSTEMS
IN
THE
LAPLACE
DOMAIN
.
51
3
STATE-SPACE
MODELS
FOR
ALS
57
3.1
FORMULATION
OF
THE
PROBLEM
.
57
3.2
DISTRIBUTIONS
.
58
3.3
COORDINATE
TRANSFORMATIONS
.
64
3.4
LOCAL
DECOMPOSITION
OF
THE
STATE
SPACE
OF
AN
ALS
.
69
3.5
REACHABILITY
.
76
3.6
RANK
REACHABILITY
CRITERIUM
.
79
3.7
OBSERVABILITY
.
87
3.8
CANONICAL
FORMS
.
93
3.9
REALISATION
THEORY
.
106
3.10
STABILITY
.
113
4
RELATIVE
DEGREE
AND
ZERO
DYNAMICS
OF
ALS
121
4.1
INTRODUCTION
.
121
4.2
RELATIVE
DEGREE
OF
LINEAR
SISO
SYSTEMS
.
123
4.3
RELATIVE
DEGREE
FOR
ALS
.
131
4.4
ZERO
DYNAMICS
OF
NONLINEAR
SYSTEMS
.
133
4.5
CANONICAL
FORM
FOR
ALS
.
138
VI
CONTENTS
4.6
ZERO
DYNAMICS
OF
PARALLEL
CONNECTED
SYSTEMS
.
147
4.7
SPECIFYING
THE
LOCAL
ZERO
DYNAMICS
OF
STATE
CONTROLLED
ALS
.
158
4.8
INPUT/OUTPUT
LINEARISATION
VIA
STATE
FEEDBACK
.
175
4.9
LOCAL
STABILISATION
.
180
4.10
THE
PROBLEM
OF
TRACKING
CONTROL
.
184
4.11
DISTURBANCE
DECOUPLING
.
191
4.12
OBSERVER
WITH
LINEAR
ERROR
DYNAMICS
.
195
5
MULTIVARIABLE
ALS 202
5.1
POLES
AND
ZEROS
OF
MULTIVARIABLE
LINEAR
SYSTEMS
.
202
5.2
RELATIVE
DEGREE
AND
ZEROS
OF
A
LINEAR
SYSTEM
.
209
5.3
DECOUPLING
OF
LINEAR
MULTIVARIABLE
SYSTEMS
.
216
5.4
RELATIVE
DEGREE
OF
MULTIVARIABLE
ALS
.
222
5.5
COORDINATE
TRANSFORMATION
AND
CANONICAL
FORM
.
225
5.6
ZERO
DYNAMICS
.
232
5.7
EXACT
LINEARISATION
BY
STATE
FEEDBACK
.
237
5.8
DECOUPLING
BY
STATE
FEEDBACK
.
244
6
APPROXIMATION
OF
NONLINEAR
SYSTEM
MODELS
251
6.1
LINEARISATION
.
251
6.2
CARLEMAN
LINEARISATION
.
255
6.3
AN
EXAMPLE
OF
CARLEMAN
LINEARISATION
.
261
6.4
BILINEARISATION
USING
LINEAR
MODELS
.
273
6.5
BILINEARISATION
VIA
PARAMETER
ESTIMATION
.
275
7
BILINEAR
SYSTEMS
282
7.1
THE
BLS
STATE-SPACE
MODEL
.
282
7.2
SOLUTION
OF
THE
STATE
EQUATIONS
.
285
7.3
VOLTERRA
SERIES
REPRESENTATION
OF
BLS
.
297
7.4
MARKOV
PARAMETER
REPRESENTATION
.
299
7.5
HOMOGENEOUS
BLS
.
303
7.6
REALISATION
OF
HOMOGENEOUS
BLS
.
307
7.7
REACHABILITY
AND
OBSERVABILITY
.
320
7.8
STABILITY,
REACHABILITY
AND
OBSERVABILITY
OF
HOMOGENEOUS
BLS
.
329
7.9
STATE
SPACE
DECOMPOSITION
AND
THE
HAUTUS
CRITERION
.
334
7.10
NORMAL
FORMS
FOR
STATE-SPACE
MODELS
.
341
7.11
REALISATION
THEORY
.
352
7.12
BLS-REALISATION
FROM
MARKOV
PARAMETERS
.
356
7.13
BLS
REALISATION
IN
CANONICAL
FORM
.
358
CONTENTS
VII
7.14
SINGULAR
VALUE
DECOMPOSITION
AND
REDUCTION
OF
ORDER
.
362
7.15
BILINEARISATION
USING
REALISATION
THEORY
.
366
8
CONTROLLER
DESIGN
FOR
BILINEAR
SYSTEMS
368
8.1
INTRODUCTION
.
368
8.2
RELATIVE
DEGREE
AND
ZERO
DYNAMICS
.
369
8.3
CANONICAL
FORMS
.
373
8.4
STABILITY
PROPERTIES
OF
BILINEAR
SYSTEMS
.
378
8.5
STABILISATION
OF
BILINEAR
SYSTEMS
.
383
8.6
QUADRATIC
STATE
FEEDBACK
.
388
8.7
THE
INFLUENCE
OF
DISTURBANCE
SIGNALS
.
393
8.8
PROCESSING
REFERENCE
SIGNALS
.
397
8.9
MODEL
TRACKING
CONTROL
FOR
BILINEAR
SYSTEMS
.
402
8.10
DECOUPLING
OF
BILINEAR
SYSTEMS
.
410
9
OBSERVER
DESIGN
FOR
ALS,
LS
AND
BLS
421
9.1
INTRODUCTION
.
421
9.2
IDENTITY
OBSERVER
FOR
LINEAR
SYSTEMS
.
421
9.3
IDENTITY
OBSERVER
FOR
BILINEAR
SYSTEMS
.
428
9.4
ALS-OBSERVER
WITH
LINEAR
ERROR
DYNAMICS
.
434
9.5
BLS
OBSERVERS
IN
OBSERVER
CANONICAL
FORM
.
441
9.6
STABILITY
OF
BILINEAR
SYSTEMS
CONTROLLED
BY
OBSERVERS
.
447
9.7
TWO-STAGE
LINEAR
OBSERVER
.
456
9.8
DISTURBANCE
OBSERVER
.
464
9.9
CONTROL
OF
A
HYDRAULIC
ACTUATOR
USING
A
BLS
OBSERVER
.
468
10
QLS:
QUADRATIC
STATE-SPACE
MODELS
WITH
LINEAR
INPUTS
479
10.1
INTRODUCTION
.
479
10.2
CLASSES
OF
QLS
.
480
10.3
QLS
WITH
LINEAR
EIGENDYNAMICS
.
483
10.4
QLS
WITH
QUADRATIC
HOMOGENEOUS
DIFFERENTIAL
EQUATIONS
.
487
10.5
CANONICAL
STRUCTURES
FOR
QLS
WITH
LINEAR
EIGENDYNAMICS
.
492
10.6
ZERO
DYNAMICS
OF
A
QLS
IN
CONTROLLER
CANONICAL
FORM
.
497
10.7
CONTROL
LAWS
FOR
QLS
WITH
LINEAR
EIGENDYNAMICS
.
506
10.8
STATE
OBSERVERS
FOR
QLS
WITH
LINEAR
EIGENDYNAMICS
.
509
10.9
MEASUREMENTS
AND
SIMULATION
RESULTS
.
511
10.10
CONTROL
OF
A
HYDRAULIC
ACTUATOR
USING
QLS
APPROXIMATION
.
519
APPENDIX
524
VIII
CONTENTS
A
NOMENCLATURE
524
B
VECTORS
AND
MATRICES
527
C
DERIVATIVES
OF
VECTORS,
VECTOR
FUNCTIONS
AND
VECTOR
FIELDS
533
REFERENCES
538
INDEX
545 |
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| id | DE-604.BV013218913 |
| illustrated | Illustrated |
| indexdate | 2024-08-13T00:17:12Z |
| institution | BVB |
| isbn | 3826575253 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009007459 |
| oclc_num | 48478648 |
| open_access_boolean | |
| owner | DE-703 DE-706 DE-634 |
| owner_facet | DE-703 DE-706 DE-634 |
| physical | VIII, 549 S. graph. Darst. : 23 cm |
| publishDate | 2000 |
| publishDateSearch | 2000 |
| publishDateSort | 2000 |
| publisher | Shaker |
| record_format | marc |
| series2 | Steuerungs- und Regelungstechnik |
| spelling | Schwarz, Helmut Verfasser aut Systems theory of nonlinear control an introduction Helmut Schwarz Aachen Shaker 2000 VIII, 549 S. graph. Darst. : 23 cm txt rdacontent n rdamedia nc rdacarrier Steuerungs- und Regelungstechnik Literaturverz. S. 538 - 544 Nichtlineares dynamisches System (DE-588)4126142-2 gnd rswk-swf Nichtlineares Regelungssystem (DE-588)4276212-1 gnd rswk-swf Nichtlineares dynamisches System (DE-588)4126142-2 s DE-604 Nichtlineares Regelungssystem (DE-588)4276212-1 s DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009007459&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Schwarz, Helmut Systems theory of nonlinear control an introduction Nichtlineares dynamisches System (DE-588)4126142-2 gnd Nichtlineares Regelungssystem (DE-588)4276212-1 gnd |
| subject_GND | (DE-588)4126142-2 (DE-588)4276212-1 |
| title | Systems theory of nonlinear control an introduction |
| title_auth | Systems theory of nonlinear control an introduction |
| title_exact_search | Systems theory of nonlinear control an introduction |
| title_full | Systems theory of nonlinear control an introduction Helmut Schwarz |
| title_fullStr | Systems theory of nonlinear control an introduction Helmut Schwarz |
| title_full_unstemmed | Systems theory of nonlinear control an introduction Helmut Schwarz |
| title_short | Systems theory of nonlinear control |
| title_sort | systems theory of nonlinear control an introduction |
| title_sub | an introduction |
| topic | Nichtlineares dynamisches System (DE-588)4126142-2 gnd Nichtlineares Regelungssystem (DE-588)4276212-1 gnd |
| topic_facet | Nichtlineares dynamisches System Nichtlineares Regelungssystem |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009007459&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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