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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

Networks out of equilibrium display dynamics characterized by multiple equilibria and sudden transitions. These transitions arise when each node leaves its natural stable state and joins to an organized global activation behavior. In this…

Optimization and Control · Mathematics 2017-09-28 Claudia Caro-Ruiz , Duvan Tellez-Castro , Andres Pavas , Eduardo Mojica-Nava

The Koopman operator approach for data-driven control design of a nonlinear system is on the rise because of its capability to capture the behaviours of global dynamics. However, the measurement noises of inputs and outputs will bias the…

Systems and Control · Electrical Eng. & Systems 2024-03-05 Tianyi He , Anuj Pal

This paper proposes a unified family of learnable Koopman operator parameterizations that integrate linear dynamical systems theory with modern deep learning forecasting architectures. We introduce four learnable Koopman…

Machine Learning · Computer Science 2026-03-16 Ali Forootani , Raffaele Iervolino

Autonomous Underwater Vehicles (AUVs) play an essential role in modern ocean exploration, and their speed control systems are fundamental to their efficient operation. Like many other robotic systems, AUVs exhibit multivariable nonlinear…

Systems and Control · Electrical Eng. & Systems 2025-03-14 Zhiliang Liu , Xin Zhao , Peng Cai , Bing Cong

In this paper a solution of the data-driven robust output regulation problem for linear parabolic systems is presented. Both the system as well as the ODE, i.e., the disturbance model, describing the disturbances are unknown, but…

Systems and Control · Electrical Eng. & Systems 2025-06-10 Joachim Deutscher , Julian Zimmer

We propose a novel extremum seeking control (ESC) method that operates in a lifted Koopman state space to minimize the filtered RMS energy in the dominant subspace. The lifted representation provides linear embeddings of nonlinear dynamics,…

Systems and Control · Electrical Eng. & Systems 2026-05-15 Timothy I. Salsbury , Min Gyung Yu , Sayak Mukherjee

Mixed vehicle platoons, comprising connected and automated vehicles (CAVs) and human-driven vehicles (HDVs), hold significant potential for enhancing traffic performance. However, most existing control strategies assume linear system…

Systems and Control · Electrical Eng. & Systems 2025-11-07 Shuai Li , Jiawei Wang , Kaidi Yang , Qing Xu , Jianqiang Wang , Keqiang Li

This paper presents a novel data-driven stochastic MPC design for discrete-time nonlinear systems with additive disturbances by leveraging the Koopman operator and a distributionally robust optimization (DRO) framework. By lifting the…

Systems and Control · Electrical Eng. & Systems 2025-10-27 Zhengang Zhong , Ehecatl Antonio del Rio-Chanona , Panagiotis Petsagkourakis

Approximating nonlinear systems as linear ones is a common workaround to apply control tools tailored for linear systems. This motivates our present work where we developed a data-driven model predictive controller (MPC) based on the…

Systems and Control · Electrical Eng. & Systems 2025-07-04 Adriano del Río , Christoph Stoeffler

Predictive control of power electronic systems always requires a suitable model of the plant. Using typical physics-based white box models, a trade-off between model complexity (i.e. accuracy) and computational burden has to be made. This…

Optimization and Control · Mathematics 2019-09-30 Sören Hanke , Sebastian Peitz , Oliver Wallscheid , Stefan Klus , Joachim Böcker , Michael Dellnitz

Koopman spectral theory has provided a new perspective in the field of dynamical systems in recent years. Modern dynamical systems are becoming increasingly non-linear and complex, and there is a need for a framework to model these systems…

Machine Learning · Computer Science 2021-09-07 Alexander Krolicki , Pierre-Yves Lavertu

This paper presents a generalizable methodology for data-driven identification of nonlinear dynamics that bounds the model error in terms of the prediction horizon and the magnitude of the derivatives of the system states. Using…

Machine Learning · Statistics 2021-05-03 Giorgos Mamakoukas , Maria L. Castano , Xiaobo Tan , Todd D. Murphey

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

The dynamics-aware economic dispatch (DED) problem embeds low-level generator dynamics and operational constraints to enable near real-time scheduling of generation units in a power network. DED produces a more dynamic supervisory control…

Systems and Control · Electrical Eng. & Systems 2022-03-18 Ethan King , Jan Drgona , Aaron Tuor , Shrirang Abhyankar , Craig Bakker , Arnab Bhattacharya , Draguna Vrabie

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

This paper is concerned with the data-driven stabilization of unknown boundary controlled semilinear parabolic systems. The nonlinear dynamics of the system are lifted using a finite number of eigenfunctionals of the Koopman operator…

Systems and Control · Electrical Eng. & Systems 2025-04-17 Joachim Deutscher , Tarik Enderes

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

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

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