Editors:
- Provides a broad overview of state-of-the-art research at the intersection of Koopman operator theory and control theory
- Presents efficient numerical methods for practitioners and suggests open research directions
- Covers recent developments in Koopman operator theory, with a focus on control theory, an area in which the framework has received increasing attention in recent years
Part of the book series: Lecture Notes in Control and Information Sciences (LNCIS, volume 484)
Buy it now
Buying options
Tax calculation will be finalised at checkout
Other ways to access
This is a preview of subscription content, log in via an institution to check for access.
Table of contents (20 chapters)
-
Front Matter
-
Concepts
-
Front Matter
-
-
Methodologies
-
Front Matter
-
-
Applications
-
Front Matter
-
About this book
The contributions discuss the latest findings and techniques in several areas of control theory, including model predictive control, optimal control, observer design, systems identification and structural analysis of controlled systems, addressing both theoretical and numerical aspects and presenting open research directions, as well as detailed numerical schemes and data-driven methods. Each contribution addresses a specific problem.
After a brief introduction of the Koopman operator framework, including basic notions and definitions, the book explores numerical methods, such as the dynamic mode decomposition (DMD) algorithm and Arnoldi-based methods, which are used to represent the operator in a finite-dimensional basis and to compute its spectral properties from data. The main body of the book is divided into three parts:
- theoretical results and numerical techniques for observer design, synthesis analysis, stability analysis, parameter estimation, and identification;
- data-driven techniques based on DMD, which extract the spectral properties of the Koopman operator from data for the structural analysis of controlled systems; and
- Koopman operator techniques with specific applications in systems and control, which range from heat transfer analysis to robot control.
A useful reference resource on the Koopman operator theory for control theorists and practitioners, the book is also of interest to graduate students, researchers, and engineers looking for an introduction to a novel and comprehensive approach to systems and control, from pure theory to data-driven methods.
Editors and Affiliations
-
Department of Mathematics, University of Namur, Namur, Belgium
Alexandre Mauroy
-
Department of Mechanical Engineering, University of California Santa Barbara, Santa Barbara, USA
Igor Mezić
-
Department of Electrical and Information Systems, Osaka Prefecture University, Sakai, Japan
Yoshihiko Susuki
About the editors
Igor Mezic works in the field of dynamical systems and control theory and applications to energy efficient design and operations and complex systems dynamics. He did his Dipl. Ing. in Mechanical Engineering in 1990 at the University of Rijeka, Croatia and his Ph. D. in Applied Mechanics at the California Institute of Technology. He was a postdoctoral researcher at the Mathematics Institute, University of Warwick, UK in 1994-95. From 1995 to 1999 he was a member of Mechanical Engineering Department at the University of California, Santa Barbara where he is currently a Professor. In 2000-2001 he has worked as an Associate Professor at Harvard University in the Division of Engineering and Applied Sciences. Dr. Mezic won the Alfred P. Sloan Fellowship, NSF CAREER Award from the NSF and the George S. Axelby Outstanding Paper Award on ”Control of Mixing” from IEEE. He also won the United Technologies Senior Vice President for Science and Technology Special Achievement Prize in 2007. He is a Fellow of the American Physical Society and a Fellow of the Society for Industrial and Applied Mathematics. He was an Editor of Physica D: Nonlinear Phenomena and an Associate Editor of the Journal of Applied Mechanics and SIAM Journal on Control and Optimization. Mezic is the Director of the Center for Energy Efficient Design and Head of Buildings and Design Solutions Group at the Institute for Energy Efficiency at the University of California, Santa Barbara. His research interest centers around the use of spectral theory of Koopman operators in dynamical systems and control.
Yoshihiko Susuki received his Ph.D. in Electrical Engineering from Kyoto University, Kyoto, Japan, 2005. From 2005 to 2016, he was a faculty member of the Department of Electrical Engineering at Kyoto University, Japan. Since 2016, he is a faculty member of the Department of Electrical and Information Systems at Osaka Prefecture University, Sakai, Japan, where he is an Associate Professor. From 2008 to 2010, he was a Visiting Research Fellow of the Department of Mechanical Engineering at the Universityof California, Santa Barbara, United States, as a Postdoctoral Fellow of JSPS. He was a Principal Investigator of JST-CREST project on cooperative distributed energy management systems from 2012 to 2015. From 2019, he is a PREST Researcher of JST project on mathematical structures in real/virtual-world objects and their utilization. He is an Associate Editor of Asian Journal of Control and Nonlinear Theory and Its Applications, IEICE. His research interests include nonlinear dynamical systems, power and energy engineering, and control systems technology.
Bibliographic Information
Book Title: The Koopman Operator in Systems and Control
Book Subtitle: Concepts, Methodologies, and Applications
Editors: Alexandre Mauroy, Igor Mezić, Yoshihiko Susuki
Series Title: Lecture Notes in Control and Information Sciences
DOI: https://doi.org/10.1007/978-3-030-35713-9
Publisher: Springer Cham
eBook Packages: Intelligent Technologies and Robotics, Intelligent Technologies and Robotics (R0)
Copyright Information: Springer Nature Switzerland AG 2020
Hardcover ISBN: 978-3-030-35712-2Published: 23 February 2020
Softcover ISBN: 978-3-030-35715-3Published: 23 February 2021
eBook ISBN: 978-3-030-35713-9Published: 22 February 2020
Series ISSN: 0170-8643
Series E-ISSN: 1610-7411
Edition Number: 1
Number of Pages: XXIII, 556
Number of Illustrations: 53 b/w illustrations, 85 illustrations in colour
Topics: Control and Systems Theory, Systems Theory, Control, Mathematics in the Humanities and Social Sciences, Vibration, Dynamical Systems, Control, Aerospace Technology and Astronautics, Communications Engineering, Networks