Optimal control of engineering processes:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Waltham, Mass.
Blaisdell
1967
|
| Schriftenreihe: | A Blaisdell book in pure and applied sciences.
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XVII, 446 S. graph. Darst. |
Internformat
MARC
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| 245 | 1 | 0 | |a Optimal control of engineering processes |c Leon Lapidus ; Rein Luus |
| 264 | 1 | |a Waltham, Mass. |b Blaisdell |c 1967 | |
| 300 | |a XVII, 446 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a A Blaisdell book in pure and applied sciences. | |
| 650 | 4 | |a Control automático | |
| 650 | 4 | |a Control theory | |
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-004571702 | ||
Datensatz im Suchindex
| _version_ | 1804121358244773888 |
|---|---|
| adam_text | Optimal Control of
Engineering Processes
Leon Lapidus / princeton univer
SITY
Pein Luus / universe
TY OF TORONTO
BLAISDELL PUBLISHING COMPANY
A Division of Ginn and Company
WALTHAM,MASSACHUSETTS • TORONTO • LONDON
Contents
List of symbols xiii
Fundamental definitions and system structures 1
1 1 Fundamental definitions and notation 3
1 2 Continuous-time system model 14
1 3 Linear continuous-time system models 18
1 4 Discrete-time system models 23
1 5 Constraints on the state and control vectors 27
1 6 The performance index 28
1 7 The quadratic performance index 32
1 8 The optimal control problem and the control law 34
1 9 Controllability, observability, and the inverse control problem 35
1 10 Stability and Liapunov’s second method 43
1 11 Physical systems and preliminary computations 44
General mathematical procedures 69
2 1 Dynamic programming 69
2 2 The continuous-maximum principle 87
2 3 The discrete-maximum principle 104
2 4 Linearized systems and the adjoint equations 110
2 5 Stability analysis via Liapunov’s second method 117
2 6 Gradient methods and constrained optima 122
2 7 Linear and nonlinear programming 128
2 8 Numerical examples 134
IX
CONTENTS
Control of linear systems 155
3 1 Discrete-time systems with a quadratic performance index 155
3 2 Discrete-time system with a quadratic performance index and a
delay in the control variable 164
3 3 Continuous-time systems with a quadratic performance index 165
3 4 The Kalman ASP program 174
3 5 Linear systems with a quadratic performance index and control
constraints 174
3 6 Minimum-time control of linear systems 176
3 7 Minimum-time control of linear discrete systems 184
3 8 Numerical examples 190
References 226
Control of nonlinear multidimensional systems 231
4 1 Problems associated with control of nonlinear multidimensional
systems 232
4 2 The pair-interchange and associated methods 234
4 3 The penalty function for constrained final-time state variables 237
4 4 Approximation-to-the-problem methods 239
4 5 Approximation-to-the-solution methods 243
4 6 Second-variation method 259
4 7 Alternative methods of interest 273
4 8 Numerical examples 280
References 317
Stability and control of linear systems 321
5 1 Stability of linear stationary systems 322
5 2 Two-dimensional system, phase-plane representation 331
5 3 Liapunov function for linear continuous-time stationary systems 334
5 4 Liapunov function for linear discrete-time stationary systems 336
5 5 Nonuniqueness of Liapunov function and application to control 337
5 6 Improvement of linear control system 342
5 7 Stability of linear time-dependent equations 344
5 8 Relation of Liapunov stability to optimal control 346
5 9 Numerical examples 354
References 370
CONTENTS
XI
Stability of nonlinear lumped-parameter systems 373
6 1 Perturbation and asymptotic methods of analysis 374
6 2 Method of averaging 381
6 3 Stroboscopic method 382
6 4 Graphical analysis of nonlinear systems 385
6 5 Application of Liapunov’s second method to determine stability
of nonlinear systems 387
6 6 Averaging technique 396
6 7 Examples 409
References 437
|
| any_adam_object | 1 |
| author | Lapidus, Leon Luus, Rein |
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| ctrlnum | (OCoLC)1089077 (DE-599)BVBBV007159713 |
| 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 | Wirtschaftswissenschaften Mess-/Steuerungs-/Regelungs-/Automatisierungstechnik / Mechatronik |
| format | Book |
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| illustrated | Illustrated |
| indexdate | 2024-07-09T16:56:43Z |
| institution | BVB |
| language | English |
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| physical | XVII, 446 S. graph. Darst. |
| publishDate | 1967 |
| publishDateSearch | 1967 |
| publishDateSort | 1967 |
| publisher | Blaisdell |
| record_format | marc |
| series2 | A Blaisdell book in pure and applied sciences. |
| spelling | Lapidus, Leon Verfasser aut Optimal control of engineering processes Leon Lapidus ; Rein Luus Waltham, Mass. Blaisdell 1967 XVII, 446 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier A Blaisdell book in pure and applied sciences. Control automático Control theory Kontrolltheorie (DE-588)4032317-1 gnd rswk-swf Kontrolltheorie (DE-588)4032317-1 s DE-604 Luus, Rein Verfasser aut HEBIS Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=004571702&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Lapidus, Leon Luus, Rein Optimal control of engineering processes Control automático Control theory Kontrolltheorie (DE-588)4032317-1 gnd |
| subject_GND | (DE-588)4032317-1 |
| title | Optimal control of engineering processes |
| title_auth | Optimal control of engineering processes |
| title_exact_search | Optimal control of engineering processes |
| title_full | Optimal control of engineering processes Leon Lapidus ; Rein Luus |
| title_fullStr | Optimal control of engineering processes Leon Lapidus ; Rein Luus |
| title_full_unstemmed | Optimal control of engineering processes Leon Lapidus ; Rein Luus |
| title_short | Optimal control of engineering processes |
| title_sort | optimal control of engineering processes |
| topic | Control automático Control theory Kontrolltheorie (DE-588)4032317-1 gnd |
| topic_facet | Control automático Control theory Kontrolltheorie |
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