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Following the introduction of Dynamic Mode Decomposition and its numerous extensions, many neural autoencoder-based implementations of the Koopman operator have recently been proposed. This class of methods appears to be of interest for…

Machine Learning · Computer Science 2025-06-06 Anthony Frion , Lucas Drumetz , Mauro Dalla Mura , Guillaume Tochon , Abdeldjalil Aïssa-El-Bey

Recently Koopman operator has become a promising data-driven tool to facilitate real-time control for unknown nonlinear systems. It maps nonlinear systems into equivalent linear systems in embedding space, ready for real-time linear control…

Robotics · Computer Science 2022-06-16 Haojie Shi , Max Q. -H. Meng

An efficient way to control systems with unknown nonlinear dynamics is to find an appropriate embedding or representation for simplified approximation (e.g. linearization), which facilitates system identification and control synthesis.…

Machine Learning · Computer Science 2025-03-03 Xiaoyuan Cheng , Yiming Yang , Xiaohang Tang , Wei Jiang , Yukun Hu

This paper introduces the temporally-consistent bilinearly recurrent autoencoder (tcBLRAN), a Koopman operator based neural network architecture for modeling a control-affine nonlinear control system. The proposed method extends traditional…

Systems and Control · Electrical Eng. & Systems 2025-03-26 Ananda Chakrabarti , Indranil Nayak , Debdipta Goswami

This paper presents a data-driven model predictive control framework for mobile robots navigating in dynamic environments, leveraging Koopman operator theory. Unlike the conventional Koopman-based approaches that focus on the linearization…

Robotics · Computer Science 2025-10-06 Mohammad Abtahi , Navid Mojahed , Shima Nazari

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…

Robotics · Computer Science 2024-09-06 Hemant Kumawat , Biswadeep Chakraborty , Saibal Mukhopadhyay

The discovery of linear embedding is the key to the synthesis of linear control techniques for nonlinear systems. In recent years, while Koopman operator theory has become a prominent approach for learning these linear embeddings through…

Robotics · Computer Science 2026-03-02 Rajpal Singh , Chandan Kumar Sah , Jishnu Keshavan

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

Accurate long-term predictions are the foundations for many machine learning applications and decision-making processes. However, building accurate long-term prediction models remains challenging due to the limitations of existing temporal…

Machine Learning · Computer Science 2023-09-20 Kshitij Tayal , Arvind Renganathan , Rahul Ghosh , Xiaowei Jia , Vipin Kumar

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

This paper presents a Koopman-based model predictive control (MPC) framework for safe UAV navigation in dynamic environments using real-time LiDAR data. By leveraging the Koopman operator to linearly approximate the dynamics of surrounding…

Systems and Control · Electrical Eng. & Systems 2025-11-11 Vitor Bueno , Ali Azarbahram , Marcello Farina , Lorenzo Fagiano

We investigate the Continuous-Time Koopman Autoencoder (CT-KAE) as a lightweight surrogate model for long-horizon ocean state forecasting in a two-layer quasi-geostrophic (QG) system. By projecting nonlinear dynamics into a latent space…

Machine Learning · Computer Science 2026-03-20 Rares Grozavescu , Pengyu Zhang , Mark Girolami , Etienne Meunier

This paper proposes Koopman operator-based Stochastic Model Predictive Control (K-SMPC) for enhanced lateral control of autonomous vehicles. The Koopman operator is a linear map representing the nonlinear dynamics in an infinite-dimensional…

Systems and Control · Electrical Eng. & Systems 2023-12-12 Jin Sung Kim , Ying Shuai Quan , Chung Choo Chung

Mobile robot navigation can be challenged by system uncertainty. For example, ground friction may vary abruptly causing slipping, and noisy sensor data can lead to inaccurate feedback control. Traditional model-based methods may be limited…

Robotics · Computer Science 2025-05-01 Xiaobin Zhang , Mohamed Karim Bouafoura , Lu Shi , Konstantinos Karydis

Achieving rapid and time-deterministic stabilization for complex systems characterized by strong nonlinearities and parametric uncertainties presents a significant challenge. Traditional model-based control relies on precise system models,…

Systems and Control · Electrical Eng. & Systems 2025-07-04 Yue Wu

This paper presents a data-learned linear Koopman embedding of nonlinear networked dynamics and uses it to enable real-time model predictive emergency voltage control in a power network. The approach involves a novel data-driven…

Systems and Control · Electrical Eng. & Systems 2023-10-06 Ramij R. Hossain , Rahmat Adesunkanmi , Ratnesh Kumar

Forecasting physical systems over long horizons from irregularly sampled observations demands models that are stable, computationally efficient, and free of fixed-timestep assumptions. We address this with a continuous-time Koopman…

Machine Learning · Computer Science 2026-05-11 Rares Grozavescu , Pengyu Zhang , Etienne Meunier , Mark Girolami

While Remote control over wireless connections is a key enabler for scalable control systems consisting of multiple actuator-sensor pairs, i.e., control systems, it entails two technical challenges. Due to the lack of wireless resources,…

Information Theory · Computer Science 2020-03-03 Abanoub M. Girgis , Jihong Park , Chen-Feng Liu , Mehdi Bennis

This paper presents a unified and scalable framework for predictive and safe autonomous navigation in dynamic transportation environments by integrating model predictive control (MPC) with distributed Koopman operator learning.…

Systems and Control · Electrical Eng. & Systems 2026-01-06 Ali Azarbahram , Shenyu Liu , Gian Paolo Incremona

The control of legged robots, particularly humanoid and quadruped robots, presents significant challenges due to their high-dimensional and nonlinear dynamics. While linear systems can be effectively controlled using methods like Model…

Robotics · Computer Science 2025-06-04 Feihan Li , Abulikemu Abuduweili , Yifan Sun , Rui Chen , Weiye Zhao , Changliu Liu