PDF-(READ)-The Koopman Operator in Systems and Control: Concepts, Methodologies, and Applications

This book provides a broad overview of stateoftheart research at the intersection of the Koopman operator theory and control theory It also reviews novel theoretical results obtained and efficient numerical methods developed within the framework of Koopman operator theoryThe 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 datadriven 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 Arnoldibased methods which are used to represent the operator in a finitedimensional basis and to compute its spectral properties from data The main body of the book is divided into three partstheoretical results and numerical techniques for observer design synthesis analysis stability analysis parameter estimation and identificationdatadriven techniques based on DMD which extract the spectral properties of the Koopman operator from data for the structural analysis of controlled systems andKoopman operator techniques with specific applications in systems and control which range from heat transfer analysis to robot controlA 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 datadriven methods. 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