Singular perturbation methods in control: analysis and design
Gespeichert in:
| Beteiligte Personen: | , , |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Philadelphia
Siam
1999
|
| Ausgabe: | Unabridged, corr. republ. |
| Schriftenreihe: | Classics in applied mathematics
25 |
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008905270&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Umfang: | XV, 371 S. graph. Darst. |
| ISBN: | 0898714443 |
Internformat
MARC
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| 245 | 1 | 0 | |a Singular perturbation methods in control |b analysis and design |c Petar Kokotović ; Hassan K. Khalil ; John O'Reilly |
| 250 | |a Unabridged, corr. republ. | ||
| 264 | 1 | |a Philadelphia |b Siam |c 1999 | |
| 300 | |a XV, 371 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
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| 490 | 1 | |a Classics in applied mathematics |v 25 | |
| 534 | |c 1986 | ||
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Datensatz im Suchindex
| _version_ | 1819349853231120384 |
|---|---|
| adam_text | CONTENTS
Preface
to the Classics Edition
xi
Preface
xiii
і
TIME-SCALE MODELING
1.1
Introduction
1
1.2
The Standard Singular Perturbation Model
2
1.3
Time-Scale Properties of the Standard Model
9
Case Study
3.1:
Two-Time-Scale
PID
Control
15
1.4
Slow and Fast Manifolds
17
1.5
Construction of Approximate Models
22
1.6
From
Nonstandard
to Standard Forms
28
1.7
Case Studies in Scaling
35
Case Study
7.1:
Dimensionless
ε
in the DC-Motor Model
36
Case Study
7.2:
Parameter Scaling in an Airplane Model
37
Case Study
7.3:
State Scaling in a Voltage Regulator
40
1.8
Exercises
43
1.9
Notes and References
45
2
LINEAR TIME-INVARIANT SYSTEMS
2.1
Introduction
47
2.2
The Block Triangular Forms
49
2.3
Eigenvalue Properties
56
2.4
The Block-Diagonal Form: Eigenspacc Properties
60
2.5
Validation of Approximate Models
67
2.6
Controllability and Observability
/5
2.7
Frequency-Domain Models
84
2.8
Exercises
gg
2.9
Notes and References
90
VIII
CONTENTS
3 LINEAR FEEDBACK
CONTROL
3.1
Introduction
93
3.2
Composite
State-Feedback
Control
94
3.3
Eigenvalue Assignment
102
3.4
Near-Optimal Regulators
110
3.5
A Corrected Linear-Quadratic Design
128
3.6
High-Gain Feedback
136
3.7
Robust Output-Feedback Design
143
3.8
Exercises
151
3.9
Notes and References
155
4
STOCHASTIC LINEAR FILTERING AND CONTROL
4.1
Introduction
157
4.2
Slow-Fast Decomposition in the Presence of White-Noise Inputs
158
4.3
The Steady-State Kalman-Bucy Filter
166
4.4
The Steady-State LQG Controller
174
4.5
An Aircraft Autopilot Case Study
182
4.6
Corrected LQG Design and the Choice of the Decoupling Transformation
186
4.7
Scaled White-Noise Inputs
191
4.8
Exercises
194
4.9
Notes and References
198
5
LINEAR TIME-VARYING SYSTEMS
5.1
Introduction
201
5.2
Slowly Varying Systems
202
5.3
Decoupling Transformation
209
5.4
Uniform Asymptotic Stability
216
5.5
Stability of a Linear Adaptive System
221
5.6
State Approximations
226
5.7
Controllability
229
5.8
Observability
238
5.9
Exercises
243
5.10
Notes and References
247
6
OPTIMAL CONTROL
6.1
introduction
249
6.2
Boundary Layers in Optima! Control
249
6.3
The Reduced Problem
260
6.4
Near-Optimal Linear Control
268
6.5
Nonlinear and Constrained Control
7.74
6.6
Cheap Control and Singular Arcs
280
6.7
Exercises
284
6.8
Notes and References
286
CONTENTS ix
7 NONLINEAR SYSTEMS
7.1
Introduction
289
7.2
Stability Analysis: Autonomous Systems
290
7.3
Case Study: Stability of a Synchronous Machine
301
7.4
Case Study: Robustness of an Adaptive System
308
7.5
Stability Analysis:
Nonauto
no
mous
Systems
312
7.6
Composite Feedback Control
315
7.7
Near-Optimal Feedback Design
321
7.8
Exercises
333
7.9
Notes and References
337
References
339
References added in proof
356
Appendix A Approximation of singularly perturbed systems driven by white noise
357
Appendix
В
365
Index
367
|
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| author | Kokotović, Petar V. 1934- Khalil, Hassan K. 1950- O'Reilly, John 1951- |
| author_GND | (DE-588)112828280 (DE-588)172184630 (DE-588)128754168 |
| author_facet | Kokotović, Petar V. 1934- Khalil, Hassan K. 1950- O'Reilly, John 1951- |
| author_role | aut aut aut |
| author_sort | Kokotović, Petar V. 1934- |
| author_variant | p v k pv pvk h k k hk hkk j o jo |
| building | Verbundindex |
| bvnumber | BV013070752 |
| classification_rvk | SK 880 |
| ctrlnum | (OCoLC)633583508 (DE-599)BVBBV013070752 |
| discipline | Mathematik |
| edition | Unabridged, corr. republ. |
| format | Book |
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| id | DE-604.BV013070752 |
| illustrated | Illustrated |
| indexdate | 2024-12-20T10:40:53Z |
| institution | BVB |
| isbn | 0898714443 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008905270 |
| oclc_num | 633583508 |
| open_access_boolean | |
| owner | DE-384 DE-20 DE-634 DE-83 DE-739 |
| owner_facet | DE-384 DE-20 DE-634 DE-83 DE-739 |
| physical | XV, 371 S. graph. Darst. |
| publishDate | 1999 |
| publishDateSearch | 1999 |
| publishDateSort | 1999 |
| publisher | Siam |
| record_format | marc |
| series | Classics in applied mathematics |
| series2 | Classics in applied mathematics |
| spellingShingle | Kokotović, Petar V. 1934- Khalil, Hassan K. 1950- O'Reilly, John 1951- Singular perturbation methods in control analysis and design Classics in applied mathematics Kontrolltheorie (DE-588)4032317-1 gnd Singuläre Störung (DE-588)4055100-3 gnd Systemtheorie (DE-588)4058812-9 gnd Regelungssystem (DE-588)4134712-2 gnd |
| subject_GND | (DE-588)4032317-1 (DE-588)4055100-3 (DE-588)4058812-9 (DE-588)4134712-2 |
| title | Singular perturbation methods in control analysis and design |
| title_auth | Singular perturbation methods in control analysis and design |
| title_exact_search | Singular perturbation methods in control analysis and design |
| title_full | Singular perturbation methods in control analysis and design Petar Kokotović ; Hassan K. Khalil ; John O'Reilly |
| title_fullStr | Singular perturbation methods in control analysis and design Petar Kokotović ; Hassan K. Khalil ; John O'Reilly |
| title_full_unstemmed | Singular perturbation methods in control analysis and design Petar Kokotović ; Hassan K. Khalil ; John O'Reilly |
| title_short | Singular perturbation methods in control |
| title_sort | singular perturbation methods in control analysis and design |
| title_sub | analysis and design |
| topic | Kontrolltheorie (DE-588)4032317-1 gnd Singuläre Störung (DE-588)4055100-3 gnd Systemtheorie (DE-588)4058812-9 gnd Regelungssystem (DE-588)4134712-2 gnd |
| topic_facet | Kontrolltheorie Singuläre Störung Systemtheorie Regelungssystem |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008905270&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008258410 |
| work_keys_str_mv | AT kokotovicpetarv singularperturbationmethodsincontrolanalysisanddesign AT khalilhassank singularperturbationmethodsincontrolanalysisanddesign AT oreillyjohn singularperturbationmethodsincontrolanalysisanddesign |