Panagiotis D. Christofides Livres

Focusing on the control of nonlinear partial differential equation (PDE) systems, this groundbreaking book presents innovative methods for synthesizing nonlinear and robust feedback controllers. It emphasizes quasi-linear hyperbolic and parabolic PDE systems, applying geometric and Lyapunov-based techniques to achieve stabilization and effective output tracking in industrial processes. The text features practical applications in convection-reaction and diffusion-reaction scenarios, such as chemical vapor deposition and crystal growth, while also comparing its methods to existing approaches and addressing implementation challenges.

This book—the first of its kind—presents general methods for feedback controller synthesis and optimization of multiscale systems, illustrating their application to thin-film growth, sputtering processes, and catalytic systems of industrial interest. The authors demonstrate the advantages of the methods presented for control and optimization through extensive simulations. Included in the work are new techniques for feedback controller design and optimization of multiscale process systems that are not included in other books. The book also contains a rich collection of new research topics and references to significant recent work.