Nonlinear and Robust Control of PDE Systems: Methods and Applications to Transport-Reaction Processes
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Boston, MA
Birkhäuser Boston
2001
|
| Schriftenreihe: | Systems & Control: Foundations & Applications
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | The interest in control of nonlinear partial differential equation (PDE) sys tems has been triggered by the need to achieve tight distributed control of transport-reaction processes that exhibit highly nonlinear behavior and strong spatial variations. Drawing from recent advances in dynamics of PDE systems and nonlinear control theory, control of nonlinear PDEs has evolved into a very active research area of systems and control. This book the first of its kind- presents general methods for the synthesis of nonlinear and robust feedback controllers for broad classes of nonlinear PDE sys tems and illustrates their applications to transport-reaction processes of industrial interest. Specifically, our attention focuses on quasi-linear hyperbolic and parabolic PDE systems for which the manipulated inputs and measured and controlled outputs are distributed in space and bounded. We use geometric and Lyapunov-based control techniques to synthesize nonlinear and robust controllers that use a finite number of measurement sensors and control actuators to achieve stabilization of the closed-loop system, output track ing, and attenuation of the effect of model uncertainty. The controllers are successfully applied to numerous convection-reaction and diffusion-reaction processes, including a rapid thermal chemical vapor deposition reactor and a Czochralski crystal growth process. The book includes comparisons of the proposed nonlinear and robust control methods with other approaches and discussions of practical implementation issues |
| Beschreibung: | 1 Online-Ressource (XVII, 251 p) |
| ISBN: | 9781461201854 9781461266525 |
| ISSN: | 2324-9749 |
| DOI: | 10.1007/978-1-4612-0185-4 |
Internformat
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| isbn | 9781461201854 9781461266525 |
| issn | 2324-9749 |
| language | English |
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| spelling | Christofides, Panagiotis D. Verfasser aut Nonlinear and Robust Control of PDE Systems Methods and Applications to Transport-Reaction Processes by Panagiotis D. Christofides Boston, MA Birkhäuser Boston 2001 1 Online-Ressource (XVII, 251 p) txt rdacontent c rdamedia cr rdacarrier Systems & Control: Foundations & Applications 2324-9749 The interest in control of nonlinear partial differential equation (PDE) sys tems has been triggered by the need to achieve tight distributed control of transport-reaction processes that exhibit highly nonlinear behavior and strong spatial variations. Drawing from recent advances in dynamics of PDE systems and nonlinear control theory, control of nonlinear PDEs has evolved into a very active research area of systems and control. This book the first of its kind- presents general methods for the synthesis of nonlinear and robust feedback controllers for broad classes of nonlinear PDE sys tems and illustrates their applications to transport-reaction processes of industrial interest. Specifically, our attention focuses on quasi-linear hyperbolic and parabolic PDE systems for which the manipulated inputs and measured and controlled outputs are distributed in space and bounded. We use geometric and Lyapunov-based control techniques to synthesize nonlinear and robust controllers that use a finite number of measurement sensors and control actuators to achieve stabilization of the closed-loop system, output track ing, and attenuation of the effect of model uncertainty. The controllers are successfully applied to numerous convection-reaction and diffusion-reaction processes, including a rapid thermal chemical vapor deposition reactor and a Czochralski crystal growth process. The book includes comparisons of the proposed nonlinear and robust control methods with other approaches and discussions of practical implementation issues Mathematics Systems theory Engineering Systems Theory, Control Engineering, general Control, Robotics, Mechatronics Ingenieurwissenschaften Mathematik 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 Transportreaktion (DE-588)4185933-9 s System von partiellen Differentialgleichungen (DE-588)4116672-3 s Nichtlineare Kontrolltheorie (DE-588)4475218-0 s 1\p DE-604 https://doi.org/10.1007/978-1-4612-0185-4 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Christofides, Panagiotis D. Nonlinear and Robust Control of PDE Systems Methods and Applications to Transport-Reaction Processes Mathematics Systems theory Engineering Systems Theory, Control Engineering, general Control, Robotics, Mechatronics Ingenieurwissenschaften Mathematik 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 by Panagiotis D. Christofides |
| title_fullStr | Nonlinear and Robust Control of PDE Systems Methods and Applications to Transport-Reaction Processes by Panagiotis D. Christofides |
| title_full_unstemmed | Nonlinear and Robust Control of PDE Systems Methods and Applications to Transport-Reaction Processes by 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 | Mathematics Systems theory Engineering Systems Theory, Control Engineering, general Control, Robotics, Mechatronics Ingenieurwissenschaften Mathematik Nichtlineare Kontrolltheorie (DE-588)4475218-0 gnd Transportreaktion (DE-588)4185933-9 gnd System von partiellen Differentialgleichungen (DE-588)4116672-3 gnd |
| topic_facet | Mathematics Systems theory Engineering Systems Theory, Control Engineering, general Control, Robotics, Mechatronics Ingenieurwissenschaften Mathematik Nichtlineare Kontrolltheorie Transportreaktion System von partiellen Differentialgleichungen |
| url | https://doi.org/10.1007/978-1-4612-0185-4 |
| work_keys_str_mv | AT christofidespanagiotisd nonlinearandrobustcontrolofpdesystemsmethodsandapplicationstotransportreactionprocesses |