Modeling of Nonlinear Dynamical Systems Using Koopman Operator Theory [PDF]
, 2021 The dynamics of most mechanical systems tends to incorporate nonlinearfunctions and behaviors to model complex systems. Due to the complexity of some of these systems, only analytical solutions can be found to model, optimize and control them however the
Snyder, Gregory Alonzo
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On the anti-missile interception technique of unpowered phase based on data-driven theory
Mechanics & Industry, 2022 . The anti-missile interception technique of unpowered phase is of much importance in the military field, which depends on the prediction of the missile trajectory and the establishment of the missile model.
Huang Yong, Li Yang
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Efficient Nonlinear Model Predictive Control of Automated Vehicles
Mathematics, 2022 In this paper, an efficient model predictive control (MPC) of velocity tracking of automated vehicles is proposed, in which a reference signal is given a priori.
Shuyou Yu +5 more
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Approximate Analytical Solution to the Zonal Harmonics Problem Using Koopman Operator Theory [PDF]
Journal of Guidance Control and Dynamics, 2020 This work introduces the use of the Koopman Operator Theory to generate analytical solutions for the zonal harmonics problem of a satellite orbiting a non spherical celestial body.
D. Arnas, Richard Linares
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Koopman Operator–Based Knowledge-Guided Reinforcement Learning for Safe Human–Robot Interaction
Frontiers in Robotics and AI, 2022 We developed a novel framework for deep reinforcement learning (DRL) algorithms in task constrained path generation problems of robotic manipulators leveraging human demonstrated trajectories.
Anirban Sinha, Yue Wang
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Data-Driven Modeling and Control via Koopman Operator Theory in Robotic Systems [PDF]
, 2023 With the development of more sophisticated robots that are increasingly aimed to venture outside of the lab, the higher dimensionality, complexity and nonlinearities of the underlying robotic systems as well as environmental uncertainty pose challenges ...
Shi, Lu
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Complexity, 2018 We consider the application of Koopman theory to nonlinear partial differential equations and data-driven spatio-temporal systems. We demonstrate that the observables chosen for constructing the Koopman operator are critical for enabling an accurate ...
J. Nathan Kutz +2 more
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Definition and data-driven reconstruction of asymptotic phase and amplitudes of stochastic oscillators via Koopman operator theory [PDF]
Asymptotic phase and amplitudes are fundamental concepts in the analysis of limit-cycle oscillators. In this paper, we briefly review the definition of these quantities, particularly a generalization to stochastic oscillatory systems from the viewpoint ...
S. Takata, Yuzuru Kato, H. Nakao
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Study of the Hypergeometric Equation via Data Driven Koopman-EDMD Theory
Axioms, 2023 We consider a data-driven method, which combines Koopman operator theory with Extended Dynamic Mode Decomposition. We apply this method to the hypergeometric equation which is the Fuchsian equation with three regular singular points.
Evangelos Melas +4 more
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The Koopman Operator in Systems and Control:Concepts, Methodologies, and Applications
, 2020 This book provides a broad overview of state-of-the-art 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 ...
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