Nonlinear and Robust Control of PDE Systems Methods and Applications to Transport-Reaction Processes
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...
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Format: | eBook |
Language: | English |
Published: |
Boston, MA
Birkhäuser
2001, 2001
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Edition: | 1st ed. 2001 |
Series: | Systems & Control: Foundations & Applications
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Subjects: | |
Online Access: | |
Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- 1 Introduction
- 1.1 Motivation
- 1.2 Examples of Transport-Reaction Processes
- 1.3 Background on Control of PDE Systems
- 1.4 Objectives and Organization of the Book
- 2 Feedback Control of Hyperbolic PDE Systems
- 2.1 Introduction
- 2.2 First-Order Hyperbolic PDE Systems
- 2.3 Characteristic Index
- 2.4 State Feedback Control
- 2.5 Closed-Loop Stability
- 2.6 Output Feedback Control
- 2.7 Application to a Nonisothermal Plug-Flow Reactor
- 2.8 Conclusions
- 3 Robust Control of Hyperbolic PDE Systems
- 3.1 Introduction
- 3.2 Preliminaries
- 3.3 Uncertainty Decoupling
- 3.4 Robust Control: Uncertain Variables
- 3.5 Two-Time-Scale Hyperbolic PDE Systems
- 3.6 Robustness with Respect to Unmodeled Dynamics
- 3.7 Application to a Fixed-Bed Reactor
- 3.8 Conclusions
- 4 Feedback Control of Parabolic PDE Systems
- 4.1 Introduction
- 4.2 Preliminaries
- 4.3 Examples of Processes Modeled by Nonlinear Parabolic PDEs
- 4.4 Galerkin’s Method
- 4.5 Accuracy of ODE System Obtained From Galerkin’s Method
- 4.6 Construction of ODE Systems of Desired Accuracy via AIMs
- 4.7 Nonlinear Output Feedback Control
- 4.8 Applications
- 4.9 Conclusions
- 5 Robust Control of Parabolic PDE Systems
- 5.1 Introduction
- 5.2 Preliminaries
- 5.3 Robust State Feedback Control of Parabolic PDE Systems
- 5.4 Robust Output Feedback Controller Synthesis
- 5.5 Application to a Catalytic Rod with Uncertainty
- 5.6 Conclusions
- 6 Nonlinear and Robust Control of Parabolic PDE Systems with Time-Dependent Spatial Domains
- 6.1 Introduction
- 6.2 Preliminaries
- 6.3 Nonlinear Model Reduction
- 6.4 Nonlinear Output Feedback Control
- 6.5 Application to a Catalytic Rod with Moving Boundary
- 6.6 Robust Control of Parabolic PDEs with Time-Dependent Spatial Domains
- 6.7 Application to a Catalytic Rod withMoving Boundary and Uncertainty
- 6.8 Conclusions
- 7 Case Studies
- 7.1 Nonlinear Control of Rapid Thermal Chemical Vapor Deposition
- 7.2 Nonlinear Control of Czochralski Crystal Growth
- 7.3 Conclusions
- Appendix A: Proofs of Chapter 2
- Appendix B: Proofs of Chapter 3
- Appendix C: Proofs of Chapter 4
- Appendix D: Proofs of Chapter 5
- Appendix E: Proofs of Chapter 6
- Appendix F: Karhunen-Loève Expansion
- References