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We present KoopCast, a lightweight yet efficient model for trajectory forecasting in general dynamic environments. Our approach leverages Koopman operator theory, which enables a linear representation of nonlinear dynamics by lifting…

Machine Learning · Computer Science 2025-09-22 Jungjin Lee , Jaeuk Shin , Gihwan Kim , Joonho Han , Insoon Yang

Model uncertainty of inverter-based resources (IBRs) presents significant challenges for power system control and stability. This work studies secondary frequency regulation in inverter-based power systems using a Data-driven Koopman…

Systems and Control · Electrical Eng. & Systems 2026-04-03 Sohrab Rezaei , Xiaomo Wang , Sijia Geng

Controlling nonlinear dynamical systems remains a central challenge in a wide range of applications, particularly when accurate first-principle models are unavailable. Data-driven approaches offer a promising alternative by designing…

Systems and Control · Electrical Eng. & Systems 2025-12-23 Robin Strässer , Karl Worthmann , Igor Mezić , Julian Berberich , Manuel Schaller , Frank Allgöwer

This paper presents a data-driven control framework for quadrotor systems that integrates a deep Koopman operator with model predictive control (DK-MPC). The deep Koopman operator is trained on sampled flight data to construct a…

Robotics · Computer Science 2025-08-20 Haitham El-Hussieny

This paper investigates Koopman operator-based approaches for multivariable control of a two-spool turbofan engine. A physics-based component-level model is developed to generate training data and validate the controllers. A meta-heuristic…

Machine Learning · Computer Science 2026-04-06 David Grasev

The Koopman operator and its data-driven approximations, such as extended dynamic mode decomposition (EDMD), are widely used for analysing, modelling, and controlling nonlinear dynamical systems. However, when the true Koopman…

Dynamical Systems · Mathematics 2026-02-05 Roland Schurig , Pieter van Goor , Karl Worthmann , Rolf Findeisen

This paper introduces an input-output bilinear Koopman realization with an optimization algorithm of lifting functions. For nonlinear systems with inputs, Koopman-based modeling is effective because the Koopman operator enables a…

Systems and Control · Electrical Eng. & Systems 2026-02-18 Shuichi Yahagi , Ansei Yonezawa , Heisei Yonezawa , Hiroki Seto , Itsuro Kajiwara

Purpose of review: We review recent advances in algorithmic development and validation for modeling and control of soft robots leveraging the Koopman operator theory. Recent findings: We identify the following trends in recent research…

Robotics · Computer Science 2023-02-09 Lu Shi , Zhichao Liu , Konstantinos Karydis

We develop a data-driven, model-free approach for the optimal control of the dynamical system. The proposed approach relies on the Deep Neural Network (DNN) based learning of Koopman operator for the purpose of control. In particular, DNN…

Machine Learning · Computer Science 2020-10-16 Yiqiang Han , Wenjian Hao , Umesh Vaidya

This research presents a novel, analytical, Koopman Operator based formulation for position and attitude dynamics which can be used to derive control strategies for underactuated systems. Compared to data driven Koopman based techniques,…

Systems and Control · Electrical Eng. & Systems 2024-07-24 Simone Martini , Kimon P. Valavanis , Margareta Stefanovic

Model predictive control is a powerful tool to generate complex motions for robots. However, it often requires solving non-convex problems online to produce rich behaviors, which is computationally expensive and not always practical in real…

Robotics · Computer Science 2022-09-21 Avadesh Meduri , Huaijiang Zhu , Armand Jordana , Ludovic Righetti

This study introduces a data-driven twin modeling framework based on modern Koopman operator theory, offering a significant advancement over classical modal decomposition by accurately capturing nonlinear dynamics with reduced complexity…

Numerical Analysis · Mathematics 2025-08-06 D. A. Bistrian

Koopman operator theory has emerged as a leading data-driven approach that relies on a judicious choice of observable functions to realize global linear representations of nonlinear systems in the lifted observable space. However,…

Robotics · Computer Science 2026-01-06 Aditya Singh , Rajpal Singh , Jishnu Keshavan

(Economic) nonlinear model predictive control ((e)NMPC) requires dynamic models that are sufficiently accurate and computationally tractable. Data-driven surrogate models for mechanistic models can reduce the computational burden of…

Machine Learning · Computer Science 2025-03-26 Daniel Mayfrank , Alexander Mitsos , Manuel Dahmen

We present a data-driven approach to use the Koopman generator for prediction and optimal control of control-affine stochastic systems. We provide a novel conceptual approach and a proof-of-principle for the determination of optimal control…

Optimization and Control · Mathematics 2024-10-15 Lei Guo , Jan Heiland , Feliks Nüske

We introduce two novel generalizations of the Koopman operator method of nonlinear dynamic modeling. Each of these generalizations leads to greatly improved predictive performance without sacrificing a unique trait of Koopman methods: the…

Systems and Control · Electrical Eng. & Systems 2020-10-15 Span Spanbauer , Ian Hunter

Learning-based model predictive control has emerged as a powerful approach for handling complex dynamics in mechatronic systems, enabling data-driven performance improvements while respecting safety constraints. However, when computational…

Systems and Control · Electrical Eng. & Systems 2025-12-19 Mark Benazet , Francesco Ricca , Dario Bralla , Melanie N. Zeilinger , Andrea Carron

Koopman operator theory has served as the basis to extract dynamics for nonlinear system modeling and control across settings, including non-holonomic mobile robot control. There is a growing interest in research to derive robustness…

Robotics · Computer Science 2021-04-13 Lu Shi , Konstantinos Karydis

Controlling robots that dynamically engage in contact with their environment is a pressing challenge. Whether a legged robot making-and-breaking contact with a floor, or a manipulator grasping objects, contact is everywhere. Unfortunately,…

Robotics · Computer Science 2025-11-11 Cormac O'Neill , Jasmine Terrones , H. Harry Asada

In the framework of Model Predictive Control (MPC), the control input is typically computed by solving optimization problems repeatedly online. For general nonlinear systems, the online optimization problems are non-convex and…

Optimization and Control · Mathematics 2021-03-31 Zheming Wang , Raphaël M. Jungers
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