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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.
List of contents
Preface.- Phase-Change Model - Stefan Problem.- Part I: Design and Analysis.- State Feedback Control Design.- State Estimation Design.- Extended Models and Design.- Two-Phase Stefan Problem.- Sampled-Data Design.- Open Problems.- Part II: Applications and Experiment.- Sea Ice.- Lithium-Ion Batteries.- Polymer 3D-Printing via Screw Extrusion.- Metal 3D-Printing via Selective Laser Sintering.- Experimental Study using PCM.- Open Problems.
Report
"The book is remarkably accessible to a reader without an advanced mathematical background. ... the book definitely deserves a broad circulation, as it bridges many different areas of control and estimation theory with engineering, which could be of potential interest to many readers. Another interesting feature of this book is that both the theoretical part and the application part of the book contain lists of open problems. This will likely appeal to young researchers looking for challenges." (Martin Weiss, Mathematical Reviews, June, 2022)
"This book provides a concise and self-contained introduction to the Stefan problem, ranging from the rigorous mathematical formulation and solution to many concrete examples of applications." (Jun Nian, zbMATH 1473.82004, 2021)
"This text is suited for researchers and graduate students working on control and dynamical systems, specifically those studying PDEs and moving boundaries." (IEEE Control Systems Magazine, Vol. 41 (2), April, 2021)
