Author | Christofides, Panagiotis D. author |
---|---|
Title | Nonlinear and Robust Control of PDE Systems [electronic resource] : Methods and Applications to Transport-Reaction Processes / by Panagiotis D. Christofides |
Imprint | Boston, MA : Birkhรคuser Boston : Imprint: Birkhรคuser, 2001 |
Connect to | http://dx.doi.org/10.1007/978-1-4612-0185-4 |
Descript | XVII, 251 p. online resource |
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 Galerkinโs Method -- 4.5 Accuracy of ODE System Obtained From Galerkinโs 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 with Moving 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-Loรจve Expansion -- References