Overview
- Introduces an innovative control algorithm for partial differential equations with moving boundaries, intended for the control and state estimation of the Stefan problem
- Includes a variety of applications, such as additive manufacturing, polar ice, and lithium-ion batteries
- Offers a number of open problems ideal for readers looking for potential future paths in research
Part of the book series: Systems & Control: Foundations & Applications (SCFA)
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Table of contents (12 chapters)
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Front Matter
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Applications and Experiment
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Front Matter
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Back Matter
Keywords
- Stefan Problem
- Stefan problem control
- PDE control
- PDE control moving boundaries
- Backstepping control
- Phase change model
- Phase change control system
- Additive manufacturing
- State estimator design
- Sea ice model
- Lithium-ion battery system control
- 3d printing screw extruder
- 3d printing selective laser sintering
- PDE fixed boundary
- Two-phase Stefan problem
- partial differential equations
About this book
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.
Reviews
“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)
Authors and Affiliations
Bibliographic Information
Book Title: Materials Phase Change PDE Control & Estimation
Book Subtitle: From Additive Manufacturing to Polar Ice
Authors: Shumon Koga, Miroslav Krstic
Series Title: Systems & Control: Foundations & Applications
DOI: https://doi.org/10.1007/978-3-030-58490-0
Publisher: Birkhäuser Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2020
Hardcover ISBN: 978-3-030-58489-4Published: 01 November 2020
Softcover ISBN: 978-3-030-58492-4Published: 02 November 2021
eBook ISBN: 978-3-030-58490-0Published: 01 November 2020
Series ISSN: 2324-9749
Series E-ISSN: 2324-9757
Edition Number: 1
Number of Pages: XIII, 352
Number of Illustrations: 7 b/w illustrations, 60 illustrations in colour
Topics: Systems Theory, Control, Control and Systems Theory, Characterization and Evaluation of Materials, Partial Differential Equations