Models and sensitivity of control systems:
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Buch |
| Sprache: | Englisch Polnisch |
| Veröffentlicht: |
Amsterdam u.a.
Elsevier u.a.
1984
|
| Schriftenreihe: | Studies in automation and control.
5. |
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001335233&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Beschreibung: | Aus d. Poln. übers. - EST: Modele i wrażliwość ukladów sterowania (engl.) |
| Umfang: | XIX, 395 S. graph. Darst. |
| ISBN: | 0444996206 0444417923 |
Internformat
MARC
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| 264 | 1 | |a Amsterdam u.a. |b Elsevier u.a. |c 1984 | |
| 300 | |a XIX, 395 S. |b graph. Darst. | ||
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| 490 | 1 | |a Studies in automation and control. |v 5. | |
| 500 | |a Aus d. Poln. übers. - EST: Modele i wrażliwość ukladów sterowania (engl.) | ||
| 650 | 4 | |a Mathematisches Modell | |
| 650 | 4 | |a Control theory | |
| 650 | 4 | |a Mathematical models | |
| 650 | 4 | |a Sensitivity theory (Mathematics) | |
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| 650 | 0 | 7 | |a Kontrollsystem |0 (DE-588)4126040-5 |2 gnd |9 rswk-swf |
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Datensatz im Suchindex
| DE-BY-TUM_call_number | 0001 85 A 875 |
|---|---|
| DE-BY-TUM_katkey | 218532 |
| DE-BY-TUM_location | Mag |
| DE-BY-TUM_media_number | 040000988921 |
| _version_ | 1821934711548674050 |
| adam_text | Contents
Introduction vn
Chapter 1 Mathematical Models 1
1.1 Prerequisites of model building 1
1.2 Examples of model building 10
1.3 Properties of fundamental types of models 44
1.3.1 Continuous linear models 44
1.3.2 Linear time discrete models 61
1.3.3 Non linear models 69
1.3.4 Stability, controllability and observability of a model 76
1.4 Identification of parameters and model verification 90
1.4.1 Characteristic features of model identification and verification
problems 90
1.4.2 Regression analysis and identification of non linear static models 94
1.4.3 Correlation function identification for linear dynamic models 101
1.4.4 Identification of linear and non linear dynamic models by the least
sum of squares and related methods 111
1.5 A general form of the models 123
Chapter 2 Sensitivity Analysis of Mathematical Models 137
2.1 Foundations of sensitivity analysis 137
2.1.1 Mathematical foundations 138
2.1.2 Basic relations in sensitivity analysis 143
2.1.3 Basic examples of application of model sensitivity analysis IS6
2.2 Structural methods in sensitivity analysis 163
2.2.1 General rules for differentiation of structural models 163
2.2.2 Commutative structural sensitivity models 169
2.2.3 Applications of structural methods of sensitivity analysis 176
2.3 Sensitivity of control systems 180
2.3.1 The general problem of sensitivity of a control system 180
2.3.2 Examples of sensitivity analysis of control systems 188
2.4 Structures and sensitivity of stabilizing systems 200
2.4.1 Sensitivity of a feedback system 200
2.4.2 System stabilizing structures 204
2.4.3 Parametric sensitivity of stabilizing systems 209
V
VI CONTENTS
Chapter 3 Optimization and Optimal Control 217
3.1 Theoretical foundations of optimization 217
3.1.1 Problems with resolvable constraints 219
3.1.2 Convex problems 222
3.1.3 Other problems with constraints 226
3.2 Dynamic optimization and optimal control 241
3.2.1 Lagrange functionals 241
3.2.2 The optimality principle and synthesis of optimal closed loop
control 251
3.2.3 The maximum principle 257
3.2.4 Examples of determining the optimal control 261
3.3 Computational methods of optimization 265
3.3.1 Direct gradient methods for problems with no additional constraints 265
3.3.2 Newton s method in control space 276
3.3.3 Other computational methods 281
Chapter 4 Sensitivity Analysis of the Optimal Control Systems 285
4.1 Problem formulation and theoretical foundations 285
4.1.1 Problem formulation 286
4.1.2 The sensitivity of the basic model of an optimization problem 295
: 4.1.3 Sensitivity of an extended model of an optimal control system 304
4.1.4 Examples of determining the performance losses 311
4; 2 Structures of optimal control systems 319
4.2.1 Open and closed loop structures 319
4.2.2 Structures of optimal trajectory tracking 325
4.2.3 Structures with optimizing feedback 331
4.2.4 Adaptive structures 336
4.2.5 The problem of structure selection 342
4.2.6 Examples of applications 344
4.3 Survey of particular problems 357
4.3.1 Sensitivity of linear systems with quadratic performance indices 358
4 3.2 Sensitivity of time optimal systems 368
4.3.3 Variable structure models 375
4.3.4 Survey of sensitivity analysis problems 381
References 385
Index 393
|
| any_adam_object | 1 |
| author | Wierzbicki, Andrzej 1937- |
| author_GND | (DE-588)124761259 |
| author_facet | Wierzbicki, Andrzej 1937- |
| author_role | aut |
| author_sort | Wierzbicki, Andrzej 1937- |
| author_variant | a w aw |
| building | Verbundindex |
| bvnumber | BV002041744 |
| callnumber-first | Q - Science |
| callnumber-label | QA402 |
| callnumber-raw | QA402.3 |
| callnumber-search | QA402.3 |
| callnumber-sort | QA 3402.3 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 880 |
| classification_tum | MSR 650f |
| ctrlnum | (OCoLC)10348781 (DE-599)BVBBV002041744 |
| 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.BV002041744 |
| illustrated | Illustrated |
| indexdate | 2024-12-20T07:45:11Z |
| institution | BVB |
| isbn | 0444996206 0444417923 |
| language | English Polish |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001335233 |
| oclc_num | 10348781 |
| open_access_boolean | |
| owner | DE-91 DE-BY-TUM DE-703 DE-29T DE-706 |
| owner_facet | DE-91 DE-BY-TUM DE-703 DE-29T DE-706 |
| physical | XIX, 395 S. graph. Darst. |
| publishDate | 1984 |
| publishDateSearch | 1984 |
| publishDateSort | 1984 |
| publisher | Elsevier u.a. |
| record_format | marc |
| series | Studies in automation and control. |
| series2 | Studies in automation and control. |
| spellingShingle | Wierzbicki, Andrzej 1937- Models and sensitivity of control systems Studies in automation and control. Mathematisches Modell Control theory Mathematical models Sensitivity theory (Mathematics) Mathematisches Modell (DE-588)4114528-8 gnd Regelungssystem (DE-588)4134712-2 gnd Kontrolltheorie (DE-588)4032317-1 gnd Kontrollsystem (DE-588)4126040-5 gnd Sensitivitätsanalyse (DE-588)4129730-1 gnd |
| subject_GND | (DE-588)4114528-8 (DE-588)4134712-2 (DE-588)4032317-1 (DE-588)4126040-5 (DE-588)4129730-1 |
| title | Models and sensitivity of control systems |
| title_alt | Modele i wrażliwość ukladów sterowania |
| title_auth | Models and sensitivity of control systems |
| title_exact_search | Models and sensitivity of control systems |
| title_full | Models and sensitivity of control systems |
| title_fullStr | Models and sensitivity of control systems |
| title_full_unstemmed | Models and sensitivity of control systems |
| title_short | Models and sensitivity of control systems |
| title_sort | models and sensitivity of control systems |
| topic | Mathematisches Modell Control theory Mathematical models Sensitivity theory (Mathematics) Mathematisches Modell (DE-588)4114528-8 gnd Regelungssystem (DE-588)4134712-2 gnd Kontrolltheorie (DE-588)4032317-1 gnd Kontrollsystem (DE-588)4126040-5 gnd Sensitivitätsanalyse (DE-588)4129730-1 gnd |
| topic_facet | Mathematisches Modell Control theory Mathematical models Sensitivity theory (Mathematics) Regelungssystem Kontrolltheorie Kontrollsystem Sensitivitätsanalyse |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001335233&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV001899690 |
| work_keys_str_mv | AT wierzbickiandrzej modeleiwrazliwoscukladowsterowania AT wierzbickiandrzej modelsandsensitivityofcontrolsystems |
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