Optimal control of engineering processes:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Waltham, Mass.
Blaisdell
1967
|
| Series: | A Blaisdell book in pure and applied sciences.
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XVII, 446 S. graph. Darst. |
Staff View
MARC
| LEADER | 00000nam a2200000 c 4500 | ||
|---|---|---|---|
| 001 | BV007159713 | ||
| 003 | DE-604 | ||
| 005 | 20190910 | ||
| 007 | t | ||
| 008 | 930421s1967 d||| |||| 00||| eng d | ||
| 035 | |a (OCoLC)1089077 | ||
| 035 | |a (DE-599)BVBBV007159713 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-355 |a DE-19 |a DE-634 | ||
| 050 | 0 | |a QA402.3 | |
| 082 | 0 | |a 629.8/312 | |
| 084 | |a QH 423 |0 (DE-625)141577: |2 rvk | ||
| 100 | 1 | |a Lapidus, Leon |e Verfasser |4 aut | |
| 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 | |
| 650 | 0 | 7 | |a Kontrolltheorie |0 (DE-588)4032317-1 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Kontrolltheorie |0 (DE-588)4032317-1 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Luus, Rein |e Verfasser |4 aut | |
| 856 | 4 | 2 | |m HEBIS Datenaustausch |q application/pdf |u 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 |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-004571702 | ||
Record in the Search Index
| _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 |
| author_facet | Lapidus, Leon Luus, Rein |
| author_role | aut aut |
| author_sort | Lapidus, Leon |
| author_variant | l l ll r l rl |
| building | Verbundindex |
| bvnumber | BV007159713 |
| 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 | QH 423 |
| 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 |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01356nam a2200373 c 4500</leader><controlfield tag="001">BV007159713</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20190910 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">930421s1967 d||| |||| 00||| eng d</controlfield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)1089077</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV007159713</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-355</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-634</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA402.3</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">629.8/312</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">QH 423</subfield><subfield code="0">(DE-625)141577:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Lapidus, Leon</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Optimal control of engineering processes</subfield><subfield code="c">Leon Lapidus ; Rein Luus</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Waltham, Mass.</subfield><subfield code="b">Blaisdell</subfield><subfield code="c">1967</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XVII, 446 S.</subfield><subfield code="b">graph. Darst.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">A Blaisdell book in pure and applied sciences.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Control automático</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Control theory</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Kontrolltheorie</subfield><subfield code="0">(DE-588)4032317-1</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Kontrolltheorie</subfield><subfield code="0">(DE-588)4032317-1</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Luus, Rein</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HEBIS Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">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</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-004571702</subfield></datafield></record></collection> |
| id | DE-604.BV007159713 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T16:56:43Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-004571702 |
| oclc_num | 1089077 |
| open_access_boolean | |
| owner | DE-355 DE-BY-UBR DE-19 DE-BY-UBM DE-634 |
| owner_facet | DE-355 DE-BY-UBR DE-19 DE-BY-UBM DE-634 |
| 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 |
| url | 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 |
| work_keys_str_mv | AT lapidusleon optimalcontrolofengineeringprocesses AT luusrein optimalcontrolofengineeringprocesses |