Cover Image
Read Now

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...

Full description

Bibliographic Details
Main Author: Christofides, Panagiotis D.
Format: eBook
Language:English
Published: Boston, MA Birkhäuser 2001, 2001
Edition:1st ed. 2001
Series:Systems & Control: Foundations & Applications
Subjects:
Engineering
Control, Robotics, Automation
Control Theory
Systems Theory, Control
System Theory
Control Engineering
Robotics
Technology And Engineering
Automation
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

Similar Items