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Koopman Model Predictive Control (KMPC) and Data-EnablEd Predictive Control (DeePC) use linear models to approximate nonlinear systems and integrate them with predictive control. Both approaches have recently demonstrated promising…

Optimization and Control · Mathematics 2025-04-09 Xu Shang , Zhaojian Li , Yang Zheng

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

We propose a demonstration-efficient strategy to compress a computationally expensive Model Predictive Controller (MPC) into a more computationally efficient representation based on a deep neural network and Imitation Learning (IL). By…

Robotics · Computer Science 2021-09-27 Andrea Tagliabue , Dong-Ki Kim , Michael Everett , Jonathan P. How

Traditional control methods often show limitations in dealing with complex nonlinear systems, especially when it is difficult to accurately obtain the exact system model, and the control accuracy and stability are difficult to guarantee. To…

Systems and Control · Electrical Eng. & Systems 2025-03-11 Yangjun Sun , Zhiliang Liu

This work presents a stochastic tube-based model predictive control framework that guarantees hard input constraint satisfaction for linear systems subject to unbounded additive disturbances. The approach relies on a structured design of…

Systems and Control · Electrical Eng. & Systems 2026-02-24 Carlo Karam , Matteo Tacchi , Mirko Fiacchini

We present a data-driven shared control algorithm that can be used to improve a human operator's control of complex dynamic machines and achieve tasks that would otherwise be challenging, or impossible, for the user on their own. Our method…

Robotics · Computer Science 2020-06-15 Alexander Broad , Ian Abraham , Todd Murphey , Brenna Argall

Electrical neuromodulation as a palliative treatment has been increasingly used in the control of epilepsy. However, current neuromodulations commonly implement predetermined actuation strategies and lack the capability of self-adaptively…

Systems and Control · Electrical Eng. & Systems 2022-08-23 Zhichao Liang , Zixiang Luo , Keyin Liu , Jingwei Qiu , Quanying Liu

We consider the problem of safe control design for a class of nonlinear, control-affine systems subject to an unknown, additive, nonlinear disturbance. Leveraging recent advancements in the application of Koopman operator theory to the…

Optimization and Control · Mathematics 2022-12-02 Mitchell Black , Dimitra Panagou

A new distributed MPC algorithm for the regulation of dynamically coupled subsystems is presented in this paper. The current control action is computed via two robust controllers working in a nested fashion. The inner controller builds a…

Systems and Control · Computer Science 2017-03-29 Bernardo Hernandez , Paul Trodden

Within this work, we investigate how data-driven numerical approximation methods of the Koopman operator can be used in practical control engineering applications. We refer to the method Extended Dynamic Mode Decomposition (EDMD), which…

Systems and Control · Electrical Eng. & Systems 2022-11-16 Annika Junker , Julia Timmermann , Ansgar Trächtler

An outstanding challenge in nonlinear systems theory is identification or learning of a given nonlinear system's Koopman operator directly from data or models. Advances in extended dynamic mode decomposition approaches and machine learning…

Machine Learning · Computer Science 2017-12-11 Charles A. Johnson , Enoch Yeung

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

This work presents a data-driven Koopman operator-based modeling method using a model averaging technique. While the Koopman operator has been used for data-driven modeling and control of nonlinear dynamics, it is challenging to accurately…

Optimization and Control · Mathematics 2024-12-05 Daisuke Uchida , Karthik Duraisamy

This paper presents a data-driven method to find a closed-loop optimal controller, which minimizes a specified infinite-horizon cost function for systems with unknown dynamics. Suppose the closed-loop optimal controller can be parameterized…

Machine Learning · Computer Science 2025-11-20 Wenjian Hao , Paulo C. Heredia , Shaoshuai Mou

Koopman operators are infinite-dimensional operators that linearize nonlinear dynamical systems, facilitating the study of their spectral properties and enabling the prediction of the time evolution of observable quantities. Recent methods…

Dynamical Systems · Mathematics 2025-06-06 Nicolas Boullé , Matthew J. Colbrook

Learning tractable linear representations of nonlinear dynamical systems via Koopman operator theory is often hindered by dictionary selection, temporal memory encoding, and numerical ill-conditioning. Inspired by Reservoir Computing (RC)…

Machine Learning · Computer Science 2026-05-07 Weibin Gu , Chen Yang , Lu Shi

This paper proposes a novel robust Model Predictive Control (MPC) scheme for linear discrete-time systems affected by model uncertainty described by interval matrices. The key feature of the proposed method is a bound on the uncertainty…

Systems and Control · Electrical Eng. & Systems 2026-02-20 Renato Quartullo , Andrea Garulli , Mirko Leomanni

The aim of this work is to control the longitudinal position of an autonomous vehicle with an internal combustion engine. The powertrain has an inherent dead-time characteristic and constraints on physical states apply since the vehicle is…

Systems and Control · Electrical Eng. & Systems 2021-01-15 André Kempf , Markus Herrmann-Wicklmayr , Steffen Müller

Robust design of autonomous systems under uncertainty is an important yet challenging problem. This work proposes a robust controller that consists of a state estimator and a tube based predictive control law. The class of linear systems…

Systems and Control · Electrical Eng. & Systems 2022-10-11 Tianchen Ji , Junyi Geng , Katherine Driggs-Campbell

Data-driven models for nonlinear dynamical systems based on approximating the underlying Koopman operator or generator have proven to be successful tools for forecasting, feature learning, state estimation, and control. It has become well…

Dynamical Systems · Mathematics 2023-10-26 Samuel E. Otto , Sebastian Peitz , Clarence W. Rowley