Nonlinear dynamical control systems:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York, NY [u.a.]
Springer
1996
|
| Ausgabe: | Corr. 3. print. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Literaturangaben |
| Beschreibung: | XIII, 467 S. graph. Darst. |
| ISBN: | 354097234X 038797234X |
Internformat
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| 245 | 1 | 0 | |a Nonlinear dynamical control systems |c Henk Nijmeijer ; Arjan van der Schaft |
| 250 | |a Corr. 3. print. | ||
| 264 | 1 | |a New York, NY [u.a.] |b Springer |c 1996 | |
| 300 | |a XIII, 467 S. |b graph. Darst. | ||
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Datensatz im Suchindex
| _version_ | 1804125352277049344 |
|---|---|
| adam_text | HENK NIJMEIJER ARJAN VAN DER SCHAFT NONLINEAR DYNAMICAL CONTROL SYSTEMS
WITH 32 ILLUSTRATIONS SPRINGER CONTENTS 1 INTRODUCTION 1 NOTES AND
REFERENCES 20 2 MANIFOLDS, VECTORFIELDS. LIE BRACKETS, DISTRIBUTIONS 23
2.0 SURVEY OF SECTION 2.1 24 2.1 MANIFOLDS, COORDINATE TRANSFORMATIONS,
TANGENT SPACE 29 2.1.1 DIFFERENTIABILITY, MANIFOLDS, SUBMANIFOLDS 29
2.1.2 TANGENT VECTORS, TANGENT SPACE, TANGENT MAPPINGS 37 2.2
VECTORFIELDS, LIE BRACKETS, DISTRIBUTIONS, FROBENIUS THEOREM,
DIFFERENTIAL ONE-FORMS 43 2.2.1 VECTORFIELDS, LIE BRACKETS, LIE ALGEBRAS
43 2.2.2 DISTRIBUTIONS, FROBENIUS THEOREM 55 2.2.3 COTANGENT BUNDLE,
DIFFERENTIAL ONE-FORMS, CO-DISTRIBUTIONS 61 2.3 SUMMARY OF SECTION 2.2
67 NOTES AND REFERENCES 69 EXERCISES 70 3 CONTROLLABILITY AND
OBSERVABILITY, LOCAL DECOMPOSITIONS 73 3.1 CONTROLLABILITY 73 3.2
OBSERVABILITY 93 3.3 INVARIANT DISTRIBUTIONS; LOCAL DECOMPOSITIONS 101
NOTES AND REFERENCES 111 EXERCISES 113 4 INPUT-OUTPUT REPRESENTATIONS
117 4.1 WIENER-VOLTERRA AND FLIESS SERIES EXPANSION 118 4.2 EXTERNAL
DIFFERENTIAL REPRESENTATIONS 125 4.3 OUTPUT INVARIANCE 135 NOTES AND
REFERENCES 143 EXERCISES 145 5 STATE SPACE TRANSFORMATION AND FEEDBACK
148 5.1 STATE SPACE TRANSFORMATIONS AND EQUIVALENCE TO LINEAR SYSTEMS
148 5.2 STATIC AND DYNAMIC FEEDBACK 165 NOTES AND REFERENCES 172
EXERCISES 173 6 FEEDBACK LINEARIZATION OF NONLINEAR SYSTEMS 176 6.1
GEOMETRIC CONDITIONS FOR FEEDBACK LINEARIZATION 178 6.2 COMPUTATIONAL
ASPECTS OF FEEDBACK LINEARIZATION 194 NOTES AND REFERENCES 205 EXERCISES
207 7 CONTROLLED INVARIANT DISTRIBUTION AND THE DISTURBANCE DECOUPLING
PROBLEM 211 7.1 CONTROLLED INVARIANT DISTRIBUTIONS 211 7.2 THE
DISTURBANCE DECOUPLING PROBLEM 219 NOTES AND REFERENCES 237 EXERCISES
239 8 THE INPUT-OUTPUT DECOUPLING PROBLEM 242 8.1 STATIC STATE FEEDBACK
INPUT-OUTPUT DECOUPLING FOR ANALYTIC SYSTEMS 242 8.2 DYNAMIC STATE
FEEDBACK INPUT-OUTPUT DECOUPLING 255 NOTES AND REFERENCES 270 EXERCISES
271 9 THE INPUT-OUTPUT DECOUPLING PROBLEM T GEOMETRIC CONSIDERATIONS 274
9.1 THE BLOCK INPUT-OUTPUT DECOUPLING PROBLEM FOR SMOOTH NONLINEAR
SYSTEMS 274 9.2 THE FORMAL STRUCTURE AT INFINITY AND INPUT-OUTPUT
DECOUPLING 286 NOTES AND REFERENCES 294 EXERCISES 296 10 LOCAL STABILITY
AND STABILIZATION OF NONLINEAR SYSTEMS 29 9 10.1 LOCAL STABILITY AND
LOCAL STABILIZATION VIA LINEARIZATION 299 10.2 LOCAL STABILIZATION USING
LYAPUNOV S DIRECT METHOD 303 10.3 LOCAL STABILIZATION VIA CENTER
MANIFOLD THEORY 310 NOTES AND REFERENCES 319 EXERCISES 321 11 CONTROLLED
INVARIANT SUBMANIFOLDS AND NONLINEAR ZERO DYNAMICS 323 11.1 LOCALLY
CONTROLLED INVARIANT SUBMANIFOLDS 323 11.2 CONSTRAINED DYNAMICS AND ZERO
DYNAMICS 331 11.3 INTERCONNECTION OF SYSTEMS AND INVERSE SYSTEMS 337
NOTES AND REFERENCES 344 EXERCISES 346 12 MECHANICAL NONLINEAR CONTROL
SYSTEMS 349 12.1 DEFINITION OF A HAMILTONIAN CONTROL SYSTEM 355 12.2
CONTROLLABILITY AND OBSERVABILITY; LOCAL DECOMPOSITIONS 363 12.3
STABILIZATION OF HAMILTONIAN CONTROL SYSTEMS 369 12.4 CONSTRAINED
HAMILTONIAN DYNAMICS 376 12.5 CONSERVATION LAWS AND REDUCTION OF ORDER
385 NOTES AND REFERENCES 392 EXERCISES 394 13 CONTROLLED INVARIANCE AND
DECOUPLING FOR GENERAL NONLINEAR SYSTEMS 400 13.1 LOCALLY CONTROLLED
INVARIANT DISTRIBUTIONS 400 13.2 DISTURBANCE DECOUPLING 414 13.3
INPUT-OUTPUT DECOUPLING 416 13.4 LOCALLY CONTROLLED INVARIANT
SUBMANIFOLDS 422 13.5 CONTROL SYSTEMS DEFINED ON FIBER BUNDLES 426 NOTES
AND REFERENCES 431 EXERCISES 433 14 DISCRETE-TIME NONLINEAR CONTROL
SYSTEMS 437 14.1 FEEDBACK LINEARIZATION OF DISCRETE-TIME NONLINEAR
SYSTEMS 438 14.2 CONTROLLED INVARIANT DISTRIBUTIONS AND THE DISTURBANCE
DECOUPLING PROBLEM IN DISCRETE-TIME 445 14.3 INPUT-OUTPUT DECOUPLING IN
DISCRETE-TIME 451 NOTES AND REFERENCES 455 EXERCISES 461 SUBJECT INDEX
463
|
| any_adam_object | 1 |
| author | Nijmeijer, Hendrik 1955- Schaft, Arjan van der |
| author_GND | (DE-588)111656281 |
| author_facet | Nijmeijer, Hendrik 1955- Schaft, Arjan van der |
| author_role | aut aut |
| author_sort | Nijmeijer, Hendrik 1955- |
| author_variant | h n hn a v d s avd avds |
| building | Verbundindex |
| bvnumber | BV010865628 |
| 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 | MAT 530f MSR 660f |
| ctrlnum | (OCoLC)35115166 (DE-599)BVBBV010865628 |
| dewey-full | 003/.85 |
| dewey-hundreds | 000 - Computer science, information, general works |
| dewey-ones | 003 - Systems |
| dewey-raw | 003/.85 |
| dewey-search | 003/.85 |
| dewey-sort | 13 285 |
| dewey-tens | 000 - Computer science, information, general works |
| discipline | Informatik Mathematik Mess-/Steuerungs-/Regelungs-/Automatisierungstechnik |
| edition | Corr. 3. print. |
| format | Book |
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| id | DE-604.BV010865628 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:00:12Z |
| institution | BVB |
| isbn | 354097234X 038797234X |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007262726 |
| oclc_num | 35115166 |
| open_access_boolean | |
| owner | DE-20 DE-29T DE-703 DE-91 DE-BY-TUM |
| owner_facet | DE-20 DE-29T DE-703 DE-91 DE-BY-TUM |
| physical | XIII, 467 S. graph. Darst. |
| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
| publisher | Springer |
| record_format | marc |
| spelling | Nijmeijer, Hendrik 1955- Verfasser (DE-588)111656281 aut Nonlinear dynamical control systems Henk Nijmeijer ; Arjan van der Schaft Corr. 3. print. New York, NY [u.a.] Springer 1996 XIII, 467 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Literaturangaben Control theory Geometry, Differential Nonlinear theories Nichtlineares System (DE-588)4042110-7 gnd rswk-swf Nichtlineares dynamisches System (DE-588)4126142-2 gnd rswk-swf Rückkopplung (DE-588)4050851-1 gnd rswk-swf Differentialgeometrie (DE-588)4012248-7 gnd rswk-swf Nichtlineare Regelung (DE-588)4132964-8 gnd rswk-swf Kontrolltheorie (DE-588)4032317-1 gnd rswk-swf Nichtlineares Regelungssystem (DE-588)4276212-1 gnd rswk-swf Nichtlineares System (DE-588)4042110-7 s Differentialgeometrie (DE-588)4012248-7 s Kontrolltheorie (DE-588)4032317-1 s DE-604 Nichtlineares Regelungssystem (DE-588)4276212-1 s Rückkopplung (DE-588)4050851-1 s Nichtlineares dynamisches System (DE-588)4126142-2 s Nichtlineare Regelung (DE-588)4132964-8 s 1\p DE-604 Schaft, Arjan van der Verfasser aut SWB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007262726&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Nijmeijer, Hendrik 1955- Schaft, Arjan van der Nonlinear dynamical control systems Control theory Geometry, Differential Nonlinear theories Nichtlineares System (DE-588)4042110-7 gnd Nichtlineares dynamisches System (DE-588)4126142-2 gnd Rückkopplung (DE-588)4050851-1 gnd Differentialgeometrie (DE-588)4012248-7 gnd Nichtlineare Regelung (DE-588)4132964-8 gnd Kontrolltheorie (DE-588)4032317-1 gnd Nichtlineares Regelungssystem (DE-588)4276212-1 gnd |
| subject_GND | (DE-588)4042110-7 (DE-588)4126142-2 (DE-588)4050851-1 (DE-588)4012248-7 (DE-588)4132964-8 (DE-588)4032317-1 (DE-588)4276212-1 |
| title | Nonlinear dynamical control systems |
| title_auth | Nonlinear dynamical control systems |
| title_exact_search | Nonlinear dynamical control systems |
| title_full | Nonlinear dynamical control systems Henk Nijmeijer ; Arjan van der Schaft |
| title_fullStr | Nonlinear dynamical control systems Henk Nijmeijer ; Arjan van der Schaft |
| title_full_unstemmed | Nonlinear dynamical control systems Henk Nijmeijer ; Arjan van der Schaft |
| title_short | Nonlinear dynamical control systems |
| title_sort | nonlinear dynamical control systems |
| topic | Control theory Geometry, Differential Nonlinear theories Nichtlineares System (DE-588)4042110-7 gnd Nichtlineares dynamisches System (DE-588)4126142-2 gnd Rückkopplung (DE-588)4050851-1 gnd Differentialgeometrie (DE-588)4012248-7 gnd Nichtlineare Regelung (DE-588)4132964-8 gnd Kontrolltheorie (DE-588)4032317-1 gnd Nichtlineares Regelungssystem (DE-588)4276212-1 gnd |
| topic_facet | Control theory Geometry, Differential Nonlinear theories Nichtlineares System Nichtlineares dynamisches System Rückkopplung Differentialgeometrie Nichtlineare Regelung Kontrolltheorie Nichtlineares Regelungssystem |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007262726&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT nijmeijerhendrik nonlineardynamicalcontrolsystems AT schaftarjanvander nonlineardynamicalcontrolsystems |