Nonlinear and robust control of PDE systems: methods and applications to transport reaction processes
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Boston [u.a.]
Birkhäuser
2001
|
| Schriftenreihe: | Systems & control
|
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009346099&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Beschreibung: | Literaturverz. S. 233 - 245 |
| Umfang: | XV, 248 S. graph. Darst. : 24 cm |
| ISBN: | 3764341564 0817641564 |
Internformat
MARC
| LEADER | 00000nam a2200000 c 4500 | ||
|---|---|---|---|
| 001 | BV013678374 | ||
| 003 | DE-604 | ||
| 005 | 20011206 | ||
| 007 | t| | ||
| 008 | 010403s2001 gw d||| |||| 00||| eng d | ||
| 016 | 7 | |a 961024852 |2 DE-101 | |
| 020 | |a 3764341564 |9 3-7643-4156-4 | ||
| 020 | |a 0817641564 |9 0-8176-4156-4 | ||
| 035 | |a (OCoLC)44425486 | ||
| 035 | |a (DE-599)BVBBV013678374 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 044 | |a gw |c DE | ||
| 049 | |a DE-703 |a DE-83 |a DE-11 | ||
| 050 | 0 | |a QA402.35 | |
| 082 | 0 | |a 629.8/312 |2 21 | |
| 084 | |a SK 560 |0 (DE-625)143246: |2 rvk | ||
| 084 | |a SK 880 |0 (DE-625)143266: |2 rvk | ||
| 084 | |a ZQ 5224 |0 (DE-625)158120: |2 rvk | ||
| 084 | |a 93C20 |2 msc | ||
| 100 | 1 | |a Christofides, Panagiotis D. |d 1970- |e Verfasser |0 (DE-588)122758390 |4 aut | |
| 245 | 1 | 0 | |a Nonlinear and robust control of PDE systems |b methods and applications to transport reaction processes |c Panagiotis D. Christofides |
| 264 | 1 | |a Boston [u.a.] |b Birkhäuser |c 2001 | |
| 300 | |a XV, 248 S. |b graph. Darst. : 24 cm | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Systems & control | |
| 500 | |a Literaturverz. S. 233 - 245 | ||
| 650 | 4 | |a Differential equations, Nonlinear | |
| 650 | 4 | |a Nonlinear control theory | |
| 650 | 0 | 7 | |a Nichtlineare Kontrolltheorie |0 (DE-588)4475218-0 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Transportreaktion |0 (DE-588)4185933-9 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a System von partiellen Differentialgleichungen |0 (DE-588)4116672-3 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a System von partiellen Differentialgleichungen |0 (DE-588)4116672-3 |D s |
| 689 | 0 | 1 | |a Nichtlineare Kontrolltheorie |0 (DE-588)4475218-0 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Transportreaktion |0 (DE-588)4185933-9 |D s |
| 689 | 1 | 1 | |a System von partiellen Differentialgleichungen |0 (DE-588)4116672-3 |D s |
| 689 | 1 | 2 | |a Nichtlineare Kontrolltheorie |0 (DE-588)4475218-0 |D s |
| 689 | 1 | |5 DE-604 | |
| 856 | 4 | 2 | |m GBV Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009346099&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-009346099 | |
Datensatz im Suchindex
| _version_ | 1819297032542617600 |
|---|---|
| adam_text | IMAGE 1
PANAGIOTIS D. CHRISTOFIDES
NONLINEAR AND ROBUST CONTROL OF PDE SYSTEMS METHODS AND APPLICATIONS TO
TRANSPORT-REACTION PROCESSES
WITH 80 FIGURES
I
BIRKHAEUSER
JBOSTON * BASEL * BERLIN
IMAGE 2
CONTENTS
PREFACE IX
LIST OF FIGURES XI
LIST OF TABLES XVII
1 INTRODUCTION 1
1.1 MOTIVATION 1
1.2 EXAMPLES OF TRANSPORT-REACTION PROCESSES 2
1.2.1 A PLUG-FLOW REACTOR 2
1.2.2 RAPID THERMAL CHEMICAL VAPOR DEPOSITION 3
1.3 BACKGROUND ON CONTROL OF PDE SYSTEMS 5
1.4 OBJECTIVES AND ORGANIZATION OF THE BOOK 8
2 FEEDBACK CONTROL OF HYPERBOLIC P DE SYSTEMS 11
2.1 INTRODUCTION 11
2.2 FIRST-ORDER HYPERBOLIC PDE SYSTEMS 12
2.2.1 PRELIMINARIES 12
2.2.2 SPECIFICATION OF THE CONTROL PROBLEM 13
2.2.3 REVIEW OF SYSTEM-THEORETIC PROPERTIES 16
2.2.4 METHODOLOGY FOR CONTROL 18
2.3 CHARACTERISTIC INDEX 19
2.4 STATE FEEDBACK CONTROL 21
2.4.1 LINEAR SYSTEMS 21
2.4.2 QUASI-LINEAR SYSTEMS 24
2.5 CLOSED-LOOP STABILITY 25
2.6 OUTPUT FEEDBACK CONTROL 27
2.6.1 LINEAR SYSTEMS 28
2.6.2 QUASI-LINEAR SYSTEMS 30
2.7 APPLICATION TO A NONISOTHERMAL PLUG-FLOW REACTOR 31
2.7.1 PROCESS DESCRIPTION AND MODELING 31
2.7.2 CONTROL PROBLEM FORMULATION-CONTROLLER SYNTHESIS . .. 33 2.7.3
EVALUATION OF CONTROLLER PERFORMANCE 38
2.7.4 A PRACTICAL IMPLEMENTATION ISSUE 41
2.8 CONCLUSIONS 45
3 ROBUST CONTROL OF HYPERBOLIC P DE SYSTEMS 47
3.1 INTRODUCTION 47
3.2 PRELIMINARIES 48
3.3 UNCERTAINTY DECOUPLING 50
IMAGE 3
VI CONTENTS
3.4 ROBUST CONTROL: UNCERTAIN VARIABLES 53
3.5 TWO-TIME-SCALE HYPERBOLIC PDE SYSTEMS 56
3.5.1 TWO-TIME-SCALE DECOMPOSITION 57
3.5.2 STABILITY RESULTS 58
3.6 ROBUSTNESS WITH RESPECT TO UNMODELED DYNAMICS 60
3.6.1 ROBUSTNESS OF UNCERTAINTY DECOUPLING TO UNMODELED DYNAMICS 60
3.6.2 ROBUST CONTROL: UNCERTAIN VARIABLES AND UNMODELED DYNAMICS 61
3.7 APPLICATION TO A FIXED-BED REACTOR 63
3.8 CONCLUSIONS 68
4 FEEDBACK CONTROL OF PARABOLIC P DE SYSTEMS 71
4.1 INTRODUCTION 71
4.2 PRELIMINARIES 72
4.2.1 DESCRIPTION OF PARABOLIC PDE SYSTEMS 72
4.2.2 FORMULATION OF PARABOLIC PDE SYSTEM AS INFINITEDIMENSIONAL
SYSTEM-EIGENVALUE PROBLEM 73
4.3 EXAMPLES OF PROCESSES MODELED BY NONLINEAR PARABOLIC PDES 75
4.3.1 CATALYTIC ROD 75
4.3.2 NONISOTHERMAL TUBULAER REACTOR WITH RECYCLE 77
4.4 GALERKIN S METHOD 81
4.5 ACCURACY OF ODE SYSTEM OBTAINED FROM GALERKIN S METHOD 82
4.6 CONSTRUCTION OF ODE SYSTEMS OF DESIRED ACCURACY VIAAIMS 85
4.7 NONLINEAR OUTPUT FEEDBACK CONTROL 87
4.7.1 A GENERAL RESULT 87
4.7.2 CONTROLLER SYNTHESIS 90
4.8 APPLICATIONS 92
4.8.1 CATALYTIC ROD 92
4.8.2 NONISOTHERMAL TUBULAER REACTOR WITH RECYCLE 94
4.9 CONCLUSIONS 97
5 ROBUST CONTROL OF PARABOLIC P DE SYSTEMS 99
5.1 INTRODUCTION 99
5.2 PRELIMINARIES 100
5.2.1 PARABOLIC PDE SYSTEMS WITH UNCERTAINTY 100
5.2.2 ILLUSTRATIVE EXAMPLE: CATALYTIC ROD WITH UNCERTAINTY . . . 101 5.3
ROBUST STATE FEEDBACK CONTROL OF PARABOLIC PDE SYSTEMS . . 103 5.3.1
PROBLEM FORMULATION- FINITE-DIMENSIONAL APPROXIMATION 103
5.3.2 ROBUST STATE FEEDBACK CONTROLLER SYNTHESIS 105
IMAGE 4
CONTENTS VII
5.3.3 IMPROVING UNCERTAINTY ATTENUATION USING APPROXIMATE INERTIAL
MANIFOLDS 109
5.4 ROBUST OUTPUT FEEDBACK CONTROLLER SYNTHESIS 113
5.5 APPLICATION TO A CATALYTIC ROD WITH UNCERTAINTY 115
5.6 CONCLUSIONS 121
6 NONLINEAR AND ROBUST CONTROL OF PARABOLIC P DE SYSTEMS WITH
TIME-DEPENDENT SPATIAL DOMAINS 123
6.1 INTRODUCTION 123
6.2 PRELIMINARIES 124
6.2.1 PARABOLIC PDE SYSTEMS WITH TIME-DEPENDENT SPATIAL DOMAINS 124
6.2.2 FORMULATION OF THE PARABOLIC PDE SYSTEM IN HUBERT SPACE 126
6.2.3 SINGULAR PERTURBATION FORMULATION 127
6.2.4 ILLUSTRATIVE EXAMPLE: CATALYTIC ROD WITH MOVING BOUNDARY 128
6.3 NONLINEAR MODEL REDUCTION 130
6.4 NONLINEAR OUTPUT FEEDBACK CONTROL 134
6.5 APPLICATION TO A CATALYTIC ROD WITH MOVING BOUNDARY . . .. 137
6.6 ROBUST CONTROL OF PARABOLIC PDES WITH TIME-DEPENDENT SPATIAL DOMAINS
141
6.6.1 PRELIMINARIES 141
6.6.2 ROBUST NONLINEAR OUTPUT FEEDBACK CONTROLLER SYNTHESIS 143
6.7 APPLICATION TO A CATALYTIC ROD WITH MOVING BOUNDARY AND UNCERTAINTY
147
6.8 CONCLUSIONS 150
7 CASE STUDIES 153
7.1 NONLINEAR CONTROL OF RAPID THERMAL CHEMICAL VAPOR DEPOSITION 153
7.1.1 INTRODUCTION 153
7.1.2 MODELING OF RTCVD PROCESS 154
7.1.3 NONLINEAR CONTROLLER SYNTHESIS- CLOSED-LOOP SIMULATIONS 157
7.2 NONLINEAR CONTROL OF CZOCHRALSKI CRYSTAL GROWTH 164
7.2.1 INTRODUCTION 164
7.2.2 CZOCHRALSKI CRYSTAL GROWTH PROCESS DESCRIPTION AND MODELING 165
7.2.3 CONTROL-RELEVANT ANALYSIS OF THE CZOCHRALSKI CRYSTAL GROWTH 170
7.2.4 NONLINEAR CONTROLLER SYNTHESIS- CLOSED-LOOP SIMULATIONS 180
7.3 CONCLUSIONS 192
IMAGE 5
VIII CONTENTS
APPENDIX A: PROOFS OF CHAPTER 2 193
APPENDIX B: PROOFS OF CHAPTER 3 201
T
APPENDIX C: PROOFS OF CHAPTER 4 211
APPENDIX D: PROOFS OF CHAPTER 5 217
APPENDIX E: PROOFS OF CHAPTER 6 223
APPENDIX F: KARHUNEN-LOEVE EXPANSION 229
REFERENCES 233
INDEX 247
|
| any_adam_object | 1 |
| author | Christofides, Panagiotis D. 1970- |
| author_GND | (DE-588)122758390 |
| author_facet | Christofides, Panagiotis D. 1970- |
| author_role | aut |
| author_sort | Christofides, Panagiotis D. 1970- |
| author_variant | p d c pd pdc |
| building | Verbundindex |
| bvnumber | BV013678374 |
| callnumber-first | Q - Science |
| callnumber-label | QA402 |
| callnumber-raw | QA402.35 |
| callnumber-search | QA402.35 |
| callnumber-sort | QA 3402.35 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 560 SK 880 ZQ 5224 |
| ctrlnum | (OCoLC)44425486 (DE-599)BVBBV013678374 |
| 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 |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02225nam a2200541 c 4500</leader><controlfield tag="001">BV013678374</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20011206 </controlfield><controlfield tag="007">t|</controlfield><controlfield tag="008">010403s2001 gw d||| |||| 00||| eng d</controlfield><datafield tag="016" ind1="7" ind2=" "><subfield code="a">961024852</subfield><subfield code="2">DE-101</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">3764341564</subfield><subfield code="9">3-7643-4156-4</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0817641564</subfield><subfield code="9">0-8176-4156-4</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)44425486</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV013678374</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="044" ind1=" " ind2=" "><subfield code="a">gw</subfield><subfield code="c">DE</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-703</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-11</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA402.35</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">629.8/312</subfield><subfield code="2">21</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 560</subfield><subfield code="0">(DE-625)143246:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 880</subfield><subfield code="0">(DE-625)143266:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">ZQ 5224</subfield><subfield code="0">(DE-625)158120:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">93C20</subfield><subfield code="2">msc</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Christofides, Panagiotis D.</subfield><subfield code="d">1970-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)122758390</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Nonlinear and robust control of PDE systems</subfield><subfield code="b">methods and applications to transport reaction processes</subfield><subfield code="c">Panagiotis D. Christofides</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Boston [u.a.]</subfield><subfield code="b">Birkhäuser</subfield><subfield code="c">2001</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XV, 248 S.</subfield><subfield code="b">graph. Darst. : 24 cm</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">Systems & control</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Literaturverz. S. 233 - 245</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Differential equations, Nonlinear</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Nonlinear control theory</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Nichtlineare Kontrolltheorie</subfield><subfield code="0">(DE-588)4475218-0</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Transportreaktion</subfield><subfield code="0">(DE-588)4185933-9</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">System von partiellen Differentialgleichungen</subfield><subfield code="0">(DE-588)4116672-3</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">System von partiellen Differentialgleichungen</subfield><subfield code="0">(DE-588)4116672-3</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Nichtlineare Kontrolltheorie</subfield><subfield code="0">(DE-588)4475218-0</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Transportreaktion</subfield><subfield code="0">(DE-588)4185933-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2="1"><subfield code="a">System von partiellen Differentialgleichungen</subfield><subfield code="0">(DE-588)4116672-3</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2="2"><subfield code="a">Nichtlineare Kontrolltheorie</subfield><subfield code="0">(DE-588)4475218-0</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">GBV 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=009346099&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-009346099</subfield></datafield></record></collection> |
| id | DE-604.BV013678374 |
| illustrated | Illustrated |
| indexdate | 2024-12-20T10:51:41Z |
| institution | BVB |
| isbn | 3764341564 0817641564 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009346099 |
| oclc_num | 44425486 |
| open_access_boolean | |
| owner | DE-703 DE-83 DE-11 |
| owner_facet | DE-703 DE-83 DE-11 |
| physical | XV, 248 S. graph. Darst. : 24 cm |
| publishDate | 2001 |
| publishDateSearch | 2001 |
| publishDateSort | 2001 |
| publisher | Birkhäuser |
| record_format | marc |
| series2 | Systems & control |
| spellingShingle | Christofides, Panagiotis D. 1970- Nonlinear and robust control of PDE systems methods and applications to transport reaction processes Differential equations, Nonlinear Nonlinear control theory Nichtlineare Kontrolltheorie (DE-588)4475218-0 gnd Transportreaktion (DE-588)4185933-9 gnd System von partiellen Differentialgleichungen (DE-588)4116672-3 gnd |
| subject_GND | (DE-588)4475218-0 (DE-588)4185933-9 (DE-588)4116672-3 |
| title | Nonlinear and robust control of PDE systems methods and applications to transport reaction processes |
| title_auth | Nonlinear and robust control of PDE systems methods and applications to transport reaction processes |
| title_exact_search | Nonlinear and robust control of PDE systems methods and applications to transport reaction processes |
| title_full | Nonlinear and robust control of PDE systems methods and applications to transport reaction processes Panagiotis D. Christofides |
| title_fullStr | Nonlinear and robust control of PDE systems methods and applications to transport reaction processes Panagiotis D. Christofides |
| title_full_unstemmed | Nonlinear and robust control of PDE systems methods and applications to transport reaction processes Panagiotis D. Christofides |
| title_short | Nonlinear and robust control of PDE systems |
| title_sort | nonlinear and robust control of pde systems methods and applications to transport reaction processes |
| title_sub | methods and applications to transport reaction processes |
| topic | Differential equations, Nonlinear Nonlinear control theory Nichtlineare Kontrolltheorie (DE-588)4475218-0 gnd Transportreaktion (DE-588)4185933-9 gnd System von partiellen Differentialgleichungen (DE-588)4116672-3 gnd |
| topic_facet | Differential equations, Nonlinear Nonlinear control theory Nichtlineare Kontrolltheorie Transportreaktion System von partiellen Differentialgleichungen |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009346099&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT christofidespanagiotisd nonlinearandrobustcontrolofpdesystemsmethodsandapplicationstotransportreactionprocesses |