Koga S., Krstic M. Materials Phase Change PDE Control & Estimation: From Additive Manufacturing to Polar Ice

Springer, 2020. — 355 p. — (Systems & Control: Foundations & Applications). — ISBN: 978-3-030-58489-4.This monograph introduces breakthrough control algorithms for partial differential equation models with moving boundaries, the study of which is known as the Stefan problem. The algorithms can be used to improve the performance of various processes with phase changes, such as additive manufacturing. Using the authors' innovative design solutions, readers will also be equipped to apply estimation algorithms for real-world phase change dynamics, from polar ice to lithium-ion batteries.
A historical treatment of the Stefan problem opens the book, situating readers in the larger context of the area. Following this, the chapters are organized into two parts. The first presents the design method and analysis of the boundary control and estimation algorithms. Part two then explores a number of applications, such as 3D printing via screw extrusion and laser sintering, and also discusses the experimental verifications conducted. A number of open problems and provided as well, offering readers multiple paths to explore in future research.
Materials Phase Change PDE Control & Estimation is ideal for researchers and graduate students working on control and dynamical systems, and particularly those studying partial differential equations and moving boundaries. It will also appeal to industrial engineers and graduate students in engineering who are interested in this area.Phase Change Model: Stefan Problem
State Feedback Control Design for Stefan System
State Estimator Design for Stefan System
Extended Models and Design
Two-Phase Stefan Problem
Open Problems
Sea Ice
Lithium-Ion Batteries
Polymer 3D-Printing via Screw Extrusion
Metal 3D-Printing via Selective Laser Sintering
Experimental Study with Paraffin Melting
Open Problems