Control theory for linear systems:
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| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
London [u.a.]
Springer
2012
|
| Edition: | [softcover repr.] |
| Series: | Communications and control engineering series
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Auf dem Umschlagdeckel als Autoren fälschlicherweise E.D. Sontag und M. Thoma genannt |
| Physical Description: | XV, 389 S. graph. Darst. |
| ISBN: | 1447110730 |
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MARC
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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 |
| 250 | |a [softcover repr.] | ||
| 264 | 1 | |a London [u.a.] |b Springer |c 2012 | |
| 300 | |a XV, 389 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 series | |
| 500 | |a Auf dem Umschlagdeckel als Autoren fälschlicherweise E.D. Sontag und M. Thoma genannt | ||
| 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 Lineares System |0 (DE-588)4125617-7 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Kontrolltheorie |0 (DE-588)4032317-1 |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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| 999 | |a oai:aleph.bib-bvb.de:BVB01-027726713 | ||
Record in the Search Index
| _version_ | 1804152859286044672 |
|---|---|
| adam_text | Contents
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
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
(С,
A, #)-pairs
and dynamic feedback
................. 125
6.1
(C, A, 5)-pairs
............................ 125
6.2
Disturbance decoupling by measurement feedback
.......... 130
6.3
(С, А, В
)
-pairs and internal stability
................. 132
6.4
Disturbance decoupling with internal stability by measurement
feedback
................................ 135
6.5
Pairs of
(C, A,
ß)-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
.........................
Í72
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
Weil-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 H2 optimal control problem
..................... 237
11.1
Stochastic inputs to linear systems
.................. 237
11.2
Hj optimal control by state feedback
................. 240
11.3 #2
optimal control by measurement feedback
............ 245
11.4
Exercises
............................... 256
11.5
Notes and references
......................... 260
12
Hoq control and robustness
........
о
............... 263
12.1
Robustness analysis
.......................... 263
12.2
The
#00
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
Coprirne
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 #co control pi oblem
................. 293
13.1
Introduction
.............................. 293
13.2
The finite horizon
Яоо
contro ....................
294
13.3
Infinite horizon
Яоо
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
Ню
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
Яоо
control problem
.............. 331
15.1
Introduction
.............................. 331
15.2
Robustness problems and the
Яоо
control problem
.......... 331
15.2.1
Additive perturbations
.................... 332
15.2.2
Multiplicative perturbations
................. 335
15.2.3
Coprirne
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 Hoc 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.
1
Notes and references
........................, 372
Bibliography
.........................с......
373
|
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| author | Trentelman, Harry L. 1956- Stoorvogel, Anton 1964- Hautus, Malo L. J. 1940- |
| author_GND | (DE-588)123161479 (DE-588)121269531 (DE-588)122843592 |
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| ctrlnum | (OCoLC)903138306 (DE-599)BVBBV042289520 |
| dewey-full | 629.8/312 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 629 - Other branches of engineering |
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| dewey-sort | 3629.8 3312 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Mathematik Mess-/Steuerungs-/Regelungs-/Automatisierungstechnik / Mechatronik |
| edition | [softcover repr.] |
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| id | DE-604.BV042289520 |
| illustrated | Illustrated |
| indexdate | 2024-07-10T01:17:24Z |
| institution | BVB |
| isbn | 1447110730 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027726713 |
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| owner | DE-739 |
| owner_facet | DE-739 |
| physical | XV, 389 S. graph. Darst. |
| publishDate | 2012 |
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| publisher | Springer |
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| 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 [softcover repr.] London [u.a.] Springer 2012 XV, 389 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Communications and control engineering series Auf dem Umschlagdeckel als Autoren fälschlicherweise E.D. Sontag und M. Thoma genannt Commande, Théorie de la Controleleer gtt Lineaire systemen gtt Systèmes linéaires Control theory Linear systems Lineares System (DE-588)4125617-7 gnd rswk-swf Kontrolltheorie (DE-588)4032317-1 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 Digitalisierung UB Passau - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027726713&sequence=000002&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 Lineares System (DE-588)4125617-7 gnd Kontrolltheorie (DE-588)4032317-1 gnd |
| subject_GND | (DE-588)4125617-7 (DE-588)4032317-1 |
| 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 Lineares System (DE-588)4125617-7 gnd Kontrolltheorie (DE-588)4032317-1 gnd |
| topic_facet | Commande, Théorie de la Controleleer Lineaire systemen Systèmes linéaires Control theory Linear systems Lineares System Kontrolltheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027726713&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT trentelmanharryl controltheoryforlinearsystems AT stoorvogelanton controltheoryforlinearsystems AT hautusmalolj controltheoryforlinearsystems |