Control theory for linear systems:
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
London [u.a.]
Springer
2001
|
| Series: | Communications and control engineering series
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturverz. S. 373 - 384 |
| Physical Description: | XV, 389 S. graph. Darst. : 24 cm |
| ISBN: | 1852333162 |
Staff View
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| 100 | 1 | |a Trentelman, Harry L. |d 1956- |e Verfasser |0 (DE-588)123161479 |4 aut | |
| 245 | 1 | 0 | |a Control theory for linear systems |c Harry L. Trentelman, Anton A. Stoorvogel and Malo Hautus |
| 264 | 1 | |a London [u.a.] |b Springer |c 2001 | |
| 300 | |a XV, 389 S. |b graph. Darst. : 24 cm | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Communications and control engineering series | |
| 500 | |a Literaturverz. S. 373 - 384 | ||
| 650 | 4 | |a Commande, Théorie de la | |
| 650 | 7 | |a Controleleer |2 gtt | |
| 650 | 7 | |a Lineaire systemen |2 gtt | |
| 650 | 4 | |a Systèmes linéaires | |
| 650 | 4 | |a Control theory | |
| 650 | 4 | |a Linear systems | |
| 650 | 0 | 7 | |a Kontrolltheorie |0 (DE-588)4032317-1 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Lineares System |0 (DE-588)4125617-7 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Lineares System |0 (DE-588)4125617-7 |D s |
| 689 | 0 | 1 | |a Kontrolltheorie |0 (DE-588)4032317-1 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Stoorvogel, Anton |d 1964- |e Verfasser |0 (DE-588)121269531 |4 aut | |
| 700 | 1 | |a Hautus, Malo L. J. |d 1940- |e Verfasser |0 (DE-588)122843592 |4 aut | |
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| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-009323405 | |
Record in the Search Index
| _version_ | 1807319793959698432 |
|---|---|
| adam_text |
CONTENTS
1
INTRODUCTION
.
1
1.1
CONTROL
SYSTEM
DESIGN
AND
MATHEMATICAL
CONTROL
THEORY
.
1
1.2
AN
EXAMPLE:
INSTABILITY
OF
THE
GEOSTATIONARY
ORBIT
.
4
1.3
LINEAR
CONTROL
SYSTEMS
.
6
1.4
EXAMPLE:
LINEARIZATION
AROUND
THE
GEOSTATIONARY
ORBIT
.
7
1.5
LINEAR
CONTROLLERS
.
8
1.6
EXAMPLE:
STABILIZING
THE
GEOSTATIONARY
ORBIT
.
9
1.7
EXAMPLE:
REGULATION
OF
THE
SATELLITE
'
S
POSITION
.
10
1.8
EXOGENOUS
INPUTS
AND
OUTPUTS
TO
BE
CONTROLLED
.
10
1.9
EXAMPLE:
INCLUDING
THE
MOON
'
S
GRAVITATIONAL
FIELD
.
11
1.10
ROBUST
STABILIZATION
.
13
1.11
NOTES
AND
REFERENCES
.
14
2
MATHEMATICAL
PRELIMINARIES
.
15
2.1
LINEAR
SPACES
AND
SUBSPACES
.
15
2.2
LINEAR
MAPS
.
16
2.3
INNER
PRODUCT
SPACES
.
19
2.4
QUOTIENT
SPACES
.
20
2.5
EIGENVALUES
.
21
2.6
DIFFERENTIAL
EQUATIONS
.
24
2.7
STABILITY
.
27
2.8
RATIONAL
MATRICES
.
31
2.9
LAPLACE
TRANSFORMATION
.
32
2.10
EXERCISES
.
33
2.11
NOTES
AND
REFERENCES
.
35
XII
CONTENTS
3
SYSTEMS
WITH
INPUTS
AND
OUTPUTS
.
37
3.1
INTRODUCTION
.
37
3.2
CONTROLLABILITY
.
39
3.3
OBSERVABILITY
.
41
3.4
BASIS
TRANSFORMATIONS
.
43
3.5
CONTROLLABLE
AND
OBSERVABLE
EIGENVALUES
.
46
3.6
SINGLE-VARIABLE
SYSTEMS
.
48
3.7
POLES,
EIGENVALUES
AND
STABILITY
.
51
3.8
LIAPUNOV
FUNCTIONS
.
55
3.9
THE
STABILIZATION
PROBLEM
.
57
3.10
STABILIZATION
BY
STATE
FEEDBACK
.
58
3.11
STATE
OBSERVERS
.
62
3.12
STABILIZATION
BY
DYNAMIC
MEASUREMENT
FEEDBACK
.
65
3.13
WELL-POSED
INTERCONNECTION
.
66
3.14
EXERCISES
.
67
3.15
NOTES
AND
REFERENCES
.
73
4
CONTROLLED
INVARIANT
SUBSPACES
.
75
4.1
CONTROLLED
INVARIANCE
.
75
4.2
DISTURBANCE
DECOUPLING
.
78
4.3
THE
INVARIANT
SUBSPACE
ALGORITHM
.
80
4.4
CONTROLLABILITY
SUBSPACES
.
82
4.5
POLE
PLACEMENT
UNDER
INVARIANCE
CONSTRAINTS
.
85
4.6
STABILIZABILITY
SUBSPACES
.
89
4.7
DISTURBANCE
DECOUPLING
WITH
INTERNAL
STABILITY
.
96
4.8
EXTERNAL
STABILIZATION
.
98
4.9
EXERCISES
.
101
4.10
NOTES
AND
REFERENCES
.
105
5
CONDITIONED
INVARIANT
SUBSPACES
.
107
5.1
CONDITIONED
INVARIANCE
.
107
5.2
DETECTABILITY
SUBSPACES
.
112
5.3
ESTIMATION
IN
THE
PRESENCE
OF
DISTURBANCES
.
118
5.4
EXERCISES
.
122
5.5
NOTES
AND
REFERENCES
.
124
CONTENTS
XIII
6
(C,
A,
B)-PAIRS
AND
DYNAMIC
FEEDBACK
.
125
6.1
(C,
A,
FL)-PAIRS
.
125
6.2
DISTURBANCE
DECOUPLING
BY
MEASUREMENT
FEEDBACK
.
130
6.3
(C,
A
,
B)-PAIRS
AND
INTERNAL
STABILITY
.
132
6.4
DISTURBANCE
DECOUPLING
WITH
INTERNAL
STABILITY
BY
MEASUREMENT
FEEDBACK
.
135
6.5
PAIRS
OF
(C,
A,
B)-PAIRS
.
137
6.6
EXTERNAL
STABILIZATION
BY
MEASUREMENT
FEEDBACK
.
142
6.7
EXERCISES
.
146
6.8
NOTES
AND
REFERENCES
.
150
7
SYSTEM
ZEROS
AND
THE
WEAKLY
UNOBSERVABLE
SUBSPACE
.
153
7.1
POLYNOMIAL
MATRICES
AND
SMITH
FORM
.
153
7.2
SYSTEM
MATRIX,
TRANSMISSION
POLYNOMIALS,
AND
ZEROS
.
158
7.3
THE
WEAKLY
UNOBSERVABLE
SUBSPACE
.
159
7.4
CONTROLLABLE
WEAKLY
UNOBSERVABLE
POINTS
.
163
7.5
STRONG
OBSERVABILITY
.
164
7.6
TRANSMISSION
POLYNOMIALS
AND
ZEROS
IN
STATE
SPACE
.
166
7.7
EXERCISES
.
169
7.8
NOTES
AND
REFERENCES
.
172
8
SYSTEM
INVERTIBILITY
AND
THE
STRONGLY
REACHABLE
SUBSPACE
.
175
8.1
DISTRIBUTIONS
AS
INPUTS
.
175
8.2
SYSTEM
INVERTIBILITY
.
180
8.3
THE
STRONGLY
REACHABLE
SUBSPACE
.
182
8.4
THE
DISTRIBUTIONALLY
WEAKLY
UNOBSERVABLE
SUBSPACE
.
188
8.5
STATE
SPACE
CONDITIONS
FOR
SYSTEM
INVERTIBILITY
.
189
8.6
EXERCISES
.
191
8.7
NOTES
AND
REFERENCES
.
192
9
TRACKING
AND
REGULATION
.
195
9.1
THE
REGULATOR
PROBLEM
.
195
9.2
WELL-POSEDNESS
OF
THE
REGULATOR
PROBLEM
.
201
9.3
LINEAR
MATRIX
EQUATIONS
.
203
9.4
THE
REGULATOR
PROBLEM
REVISITED
.
205
9.5
EXERCISES
.
206
9.6
NOTES
AND
REFERENCES
.
208
XIV
CONTENTS
10
LINEAR
QUADRATIC
OPTIMAL
CONTROL
.
211
10.1
THE
LINEAR
QUADRATIC
REGULATOR
PROBLEM
.
211
10.2
THE
FINITE-HORIZON
PROBLEM
.
214
10.3
THE
INFINITE-HORIZON
PROBLEM,
STANDARD
CASE
.
218
10.4
THE
INFINITE
HORIZON
PROBLEM
WITH
ZERO
ENDPOINT
.
222
10.5
THE
NONSTANDARD
PROBLEMS
.
229
10.6
EXERCISES
.
231
10.7
NOTES
AND
REFERENCES
.
234
11
THE
HI
OPTIMAL
CONTROL
PROBLEM
.
237
11.1
STOCHASTIC
INPUTS
TO
LINEAR
SYSTEMS
.
237
11.2
HI
OPTIMAL
CONTROL
BY
STATE
FEEDBACK
.
240
11.3
HI
OPTIMAL
CONTROL
BY
MEASUREMENT
FEEDBACK
.
245
11.4
EXERCISES
.
256
11.5
NOTES
AND
REFERENCES
.
260
12
HOO
CONTROL
AND
ROBUSTNESS
.
263
12.1
ROBUSTNESS
ANALYSIS
.
263
12.2
THE
HOO
CONTROL
PROBLEM
.
265
12.3
THE
SMALL-GAIN
THEOREM
.
268
12.4
STABILIZATION
OF
UNCERTAIN
SYSTEMS
.
270
12.4.1
ADDITIVE
PERTURBATIONS
.
272
12.4.2
MULTIPLICATIVE
PERTURBATIONS
.
274
12.4.3
COPRIME
FACTOR
PERTURBATIONS
.
276
12.5
THE
MIXED-SENSITIVITY
PROBLEM
.
278
12.6
THE
BOUNDED
REAL
LEMMA
.
281
12.6.1
A
FINITE
HORIZON
.
282
12.6.2
INFINITE
HORIZON
.
286
12.7
EXERCISES
.
288
12.8
NOTES
AND
REFERENCES
.
290
13
THE
STATE
FEEDBACK
HOO
CONTROL
PROBLEM
.
293
13.1
INTRODUCTION
.
293
13.2
THE
FINITE
HORIZON
ZFOO
CONTROL
.
294
13.3
INFINITE
HORIZON
WOO
CONTROL
PROBLEM
.
298
13.4
SOLVING
THE
ALGEBRAIC
RICCATI
EQUATION
.
304
13.5
EXERCISES
.
306
CONTENTS
XV
13.6
NOTES
AND
REFERENCES
.
307
14
THE
HOO
CONTROL
PROBLEM
WITH
MEASUREMENT
FEEDBACK
.
309
14.1
INTRODUCTION
.
309
14.2
PROBLEM
FORMULATION
AND
MAIN
RESULTS
.
310
14.3
INNER
SYSTEMS
AND
REDHEFFER
'
S
LEMMA
.
313
14.4
PROOF
OF
THEOREM
14.1
.
316
14.5
CHARACTERIZATION
OF
ALL
SUITABLE
CONTROLLERS
.
324
14.6
EXERCISES
.
326
14.7
NOTES
AND
REFERENCES
.
328
15
SOME
APPLICATIONS
OF
THE
HOO
CONTROL
PROBLEM
.
331
15.1
INTRODUCTION
.
331
15.2
ROBUSTNESS
PROBLEMS
AND
THE
HOO
CONTROL
PROBLEM
.
331
15.2.1
ADDITIVE
PERTURBATIONS
.
332
15.2.2
MULTIPLICATIVE
PERTURBATIONS
.
335
15.2.3
COPRIME
FACTOR
PERTURBATIONS
.
338
15.3
SINGULAR
PROBLEMS
.
341
15.3.1
FREQUENCY-DOMAIN
LOOP
SHIFTING
.
342
15.3.2
CHEAP
CONTROL
.
345
15.4
THE
MINIMUM
ENTROPY/ZOO
CONTROL
PROBLEM
.
347
15.4.1
PROBLEM
FORMULATION
AND
RESULTS
.
347
15.4.2
PROPERTIES
OF
THE
ENTROPY
FUNCTION
.
348
15.4.3
A
SYSTEM
TRANSFORMATION
.
352
15.5
A
DESIGN
EXAMPLE:
AN
INVERTED
PENDULUM
ON
A
CART
.
354
15.6
EXERCISES
.
362
15.7
NOTES
AND
REFERENCES
.
363
A
DISTRIBUTIONS
.
365
A.L
NOTES
AND
REFERENCES
.
372
BIBLIOGRAPHY
.
373
INDEX
385 |
| any_adam_object | 1 |
| author | Trentelman, Harry L. 1956- Stoorvogel, Anton 1964- Hautus, Malo L. J. 1940- |
| author_GND | (DE-588)123161479 (DE-588)121269531 (DE-588)122843592 |
| author_facet | Trentelman, Harry L. 1956- Stoorvogel, Anton 1964- Hautus, Malo L. J. 1940- |
| author_role | aut aut aut |
| author_sort | Trentelman, Harry L. 1956- |
| author_variant | h l t hl hlt a s as m l j h mlj mljh |
| building | Verbundindex |
| bvnumber | BV013645746 |
| callnumber-first | Q - Science |
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| callnumber-raw | QA402.3 |
| callnumber-search | QA402.3 |
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| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 880 |
| ctrlnum | (OCoLC)44811754 (DE-599)BVBBV013645746 |
| dewey-full | 629.8/312 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 629 - Other branches of engineering |
| dewey-raw | 629.8/312 |
| dewey-search | 629.8/312 |
| dewey-sort | 3629.8 3312 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Mathematik Mess-/Steuerungs-/Regelungs-/Automatisierungstechnik / Mechatronik |
| format | Book |
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| id | DE-604.BV013645746 |
| illustrated | Illustrated |
| indexdate | 2024-08-14T00:14:27Z |
| institution | BVB |
| isbn | 1852333162 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009323405 |
| oclc_num | 44811754 |
| open_access_boolean | |
| owner | DE-703 DE-20 DE-29T DE-573 DE-706 DE-634 |
| owner_facet | DE-703 DE-20 DE-29T DE-573 DE-706 DE-634 |
| physical | XV, 389 S. graph. Darst. : 24 cm |
| publishDate | 2001 |
| publishDateSearch | 2001 |
| publishDateSort | 2001 |
| publisher | Springer |
| record_format | marc |
| series2 | Communications and control engineering series |
| spelling | Trentelman, Harry L. 1956- Verfasser (DE-588)123161479 aut Control theory for linear systems Harry L. Trentelman, Anton A. Stoorvogel and Malo Hautus London [u.a.] Springer 2001 XV, 389 S. graph. Darst. : 24 cm txt rdacontent n rdamedia nc rdacarrier Communications and control engineering series Literaturverz. S. 373 - 384 Commande, Théorie de la Controleleer gtt Lineaire systemen gtt Systèmes linéaires Control theory Linear systems Kontrolltheorie (DE-588)4032317-1 gnd rswk-swf Lineares System (DE-588)4125617-7 gnd rswk-swf Lineares System (DE-588)4125617-7 s Kontrolltheorie (DE-588)4032317-1 s DE-604 Stoorvogel, Anton 1964- Verfasser (DE-588)121269531 aut Hautus, Malo L. J. 1940- Verfasser (DE-588)122843592 aut DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009323405&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Trentelman, Harry L. 1956- Stoorvogel, Anton 1964- Hautus, Malo L. J. 1940- Control theory for linear systems Commande, Théorie de la Controleleer gtt Lineaire systemen gtt Systèmes linéaires Control theory Linear systems Kontrolltheorie (DE-588)4032317-1 gnd Lineares System (DE-588)4125617-7 gnd |
| subject_GND | (DE-588)4032317-1 (DE-588)4125617-7 |
| title | Control theory for linear systems |
| title_auth | Control theory for linear systems |
| title_exact_search | Control theory for linear systems |
| title_full | Control theory for linear systems Harry L. Trentelman, Anton A. Stoorvogel and Malo Hautus |
| title_fullStr | Control theory for linear systems Harry L. Trentelman, Anton A. Stoorvogel and Malo Hautus |
| title_full_unstemmed | Control theory for linear systems Harry L. Trentelman, Anton A. Stoorvogel and Malo Hautus |
| title_short | Control theory for linear systems |
| title_sort | control theory for linear systems |
| topic | Commande, Théorie de la Controleleer gtt Lineaire systemen gtt Systèmes linéaires Control theory Linear systems Kontrolltheorie (DE-588)4032317-1 gnd Lineares System (DE-588)4125617-7 gnd |
| topic_facet | Commande, Théorie de la Controleleer Lineaire systemen Systèmes linéaires Control theory Linear systems Kontrolltheorie Lineares System |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009323405&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT trentelmanharryl controltheoryforlinearsystems AT stoorvogelanton controltheoryforlinearsystems AT hautusmalolj controltheoryforlinearsystems |