Nonlinear and robust control of PDE systems: methods and applications to transport reaction processes
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Boston [u.a.]
Birkhäuser
2001
|
| Series: | Systems & control
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturverz. S. 233 - 245 |
| Physical Description: | XV, 248 S. graph. Darst. : 24 cm |
| ISBN: | 3764341564 0817641564 |
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| 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
|
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| dewey-search | 629.8/312 |
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| spelling | Christofides, Panagiotis D. 1970- Verfasser (DE-588)122758390 aut Nonlinear and robust control of PDE systems methods and applications to transport reaction processes Panagiotis D. Christofides Boston [u.a.] Birkhäuser 2001 XV, 248 S. graph. Darst. : 24 cm txt rdacontent n rdamedia nc rdacarrier Systems & control Literaturverz. S. 233 - 245 Differential equations, Nonlinear Nonlinear control theory Nichtlineare Kontrolltheorie (DE-588)4475218-0 gnd rswk-swf Transportreaktion (DE-588)4185933-9 gnd rswk-swf System von partiellen Differentialgleichungen (DE-588)4116672-3 gnd rswk-swf System von partiellen Differentialgleichungen (DE-588)4116672-3 s Nichtlineare Kontrolltheorie (DE-588)4475218-0 s DE-604 Transportreaktion (DE-588)4185933-9 s GBV Datenaustausch application/pdf 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 Inhaltsverzeichnis |
| 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 |
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