Nonlinear and Robust Control of PDE Systems: Methods and Applications to Transport-Reaction Processes - Rilegato

Christofides, Panagiotis D.

Rilegato

ISBN 10: 0817641564 ISBN 13: 9780817641566

Casa editrice: Springer Basel AG, 2001

Riassunto

This volume presents state-of-the-art methods for the synthesis of nonlinear and robust feedback controllers for transport-reaction processes. It should be a useful resource for chemical engineers, control engineers and mechanical engineers. The interest in control of nonlinear partial differential equation (PDE) systems has been triggered by the need to achieve tight distributed control of transport-reaction processes which exhibit strong spatial variations. Drawing from 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 volume presents general methods for the synthesis of nonlinear and robust feedback controllers for broad classes of nonlinear PDE systems and illustrates their applications to transport-reaction processes of industrial interest. The controllers use a finite number of measurement sensors and control actuators to achieve stabilization of the closed-loop system, output tracking and attenuation of the effect of model uncertainty. Beginning with an introduction to control of PDE sy stems, the book discusses nonlinear and robust control of hyperbolic and parabolic PDEs with fixed spatial domains and parabolic PDEs with time-dependent spatial domains. The synthesis of the controllers is performed by using geometric and Lyapunov-based control techniques. The book includes comparisons of the methods followed for controller synthesis with other approaches and discussions of practical implementation issues that can help researchers and engineers understand the development and application of the methods in greater depth.

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Recensione

"The concrete aspect of this book is its strength, and it may inspire theoreticians in the control of PDEs so that they realize design methods in the finite-dimensional case have interesting extensions in their area; it may encourage practitioners, giving them confidence in dealing with PDEs. The development is illustrated with applications from the chemical industry throughout the book (reactor, chemical vapor deposition, crystal growth)."   ―Zentralblatt Math

"This book deals with nonlinear and robust feedback controllers for hyperbolic and parabolic PDEs with fixed spatial domains and parabolic PDEs with time-dependent spatial domains. It includes applications to transport-reaction processes of industrial interest and also discusses practical implementation issues."   ―Monatshefte für Mathematik

Contenuti

Preface List of Figures List of Tables Introduction Feedback Control of Hyperbolic PDE Systems Robust Control of Hyperbolic PDE Systems Feedback Control of Hyperbolic PDE Systems Feedback Control of Parabolic PDE Systems Robust Control of Parabolic PDE Systems Nonlinear and Robust Control of Parabolic PDE Systems with Time-Dependent Spatial Domains Case Studies Proofs of Chapters (1-6) Karhunen-Loéve Expansion References Index

Dettagli dell'edizione

• Editore: Springer Basel AG
• Data di pubblicazione: 2001
• Lingua: Inglese
• ISBN 10: 0817641564
• ISBN 13: 9780817641566
• Rilegatura: Copertina rigida
• Numero di pagine: 272
• Contatto del produttore: ProductSafety@springernature.com; ProductSafety@springernature.com; ; Poststr. 9; Darmstadt; 64293; Germania