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Modularized data-driven approximation of the Koopman operator and generator

arXiv.org
Extended Dynamic Mode Decomposition (EDMD) is a widely-used data-driven approach to learn an approximation of the Koopman operator. Consequently, it provides a powerful tool for data-driven analysis, prediction, and control of nonlinear dynamical ...
Yang Guo   +3 more
semanticscholar   +1 more source

Data-Driven Koopman Operator-Based Error-State Kalman Filter for Enhanced State Estimation of Quadrotors in Agile Flight

IEEE/RJS International Conference on Intelligent RObots and Systems
Highly dynamic maneuvers pose a challenge to conventional state estimators of quadrotors in rapidly tracking the pose. This paper proposes a data-driven Koopman operator-based error-state Kalman filter (K-ESKF) to enhance pose estimation in agile flight.
Peng Huang   +2 more
semanticscholar   +1 more source

Model Predictive Traction Control System Based on the Koopman Operator

International Conference on System Theory, Control and Computing
Due to their importance, traction control and antilock braking systems have become standard equipment in modern vehicles. However, accurate models of tire dynamics are often difficult to obtain and usually include nonlinearities, making their use in ...
Josip Kir Hromatko, Š. Ileš
semanticscholar   +1 more source

Koopman Operator in the Weighted Function Spaces and its Learning for the Estimation of Lyapunov and Zubov Functions

American Control Conference
Theoretical properties and data-driven learning of the Koopman operator, which represents nonlinear dynamics as a linear mapping on a properly defined functional spaces, have become key problems in nonlinear system identification and control.
Wentao Tang
semanticscholar   +1 more source

RoboKoop: Efficient Control Conditioned Representations from Visual Input in Robotics using Koopman Operator

Conference on Robot Learning
Developing agents that can perform complex control tasks from high-dimensional observations is a core ability of autonomous agents that requires underlying robust task control policies and adapting the underlying visual representations to the task.
Hemant Kumawat   +2 more
semanticscholar   +1 more source

Deep transfer learning strategy in intelligent fault diagnosis of gas turbines based on the Koopman operator

Applied Energy
Fatemeh Negar Irani   +3 more
semanticscholar   +1 more source

Koopman Operator-based Model Identification and Control for Automated Driving Vehicle

International Journal of Control, Automation and Systems, 2023
Jin Sung Kim, Y. Quan, C. Chung
semanticscholar   +1 more source

Learning model predictive control of nonlinear systems with time-varying parameters using Koopman operator

Applied Mathematics and Computation
Zhong Chen   +4 more
semanticscholar   +1 more source

Learning nonlinear operators via DeepONet based on the universal approximation theorem of operators

Nature Machine Intelligence, 2021
Lu Lu, Pengzhan Jin, Guofei Pang
exaly  

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