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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

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

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

Data-driven predictive control methods based on the Willems' fundamental lemma have shown great success in recent years. These approaches use receding horizon predictive control with nonparametric data-driven predictors instead of…

Systems and Control · Electrical Eng. & Systems 2023-12-06 Mingzhou Yin , Andrea Iannelli , Roy S. Smith

This paper presents Residual Koopman MPC (RK-MPC), a Koopman-based, data-driven model predictive control framework for quadruped locomotion that improves prediction fidelity while preserving real-time tractability. RK-MPC augments a nominal…

Robotics · Computer Science 2026-04-09 Sriram S. K. S. Narayanan , Umesh Vaidya

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

Data-driven predictive control methods can provide the constraint handling and optimization of model predictive control (MPC) without first-principles models. Two such methods differ in how they replace the model: Data-enabled predictive…

Systems and Control · Electrical Eng. & Systems 2026-04-02 Branislav Daráš , Patrik Valábek , Martin Klaučo

We consider the problem of data-driven predictive control for an unknown discrete-time linear time-periodic (LTP) system of known period. Our proposed strategy generalizes both Data-enabled Predictive Control (DeePC) and Subspace Predictive…

Systems and Control · Electrical Eng. & Systems 2022-09-13 Ruiqi Li , John W. Simpson-Porco , Stephen L. Smith

In this paper we investigate data-driven predictive control of discrete-time linear descriptor systems. Specifically, we give a tailored variant of Willems' fundamental lemma, which shows that for descriptor systems the non-parametric…

Optimization and Control · Mathematics 2022-02-17 Philipp Schmitz , Timm Faulwasser , Karl Worthmann

A turbocharger plays an essential part in reducing emissions and increasing the fuel efficiency of road vehicles. The pulsating flow of exhaust gases, along with high heat exchange from the turbocharger casing, makes developing…

Systems and Control · Electrical Eng. & Systems 2022-08-30 Shrenik Zinage , Suyash Jadhav , Yifei Zhou , Ilias Bilionis , Peter Meckl

The Koopman operator has emerged as a powerful tool for the analysis of nonlinear dynamical systems as it provides coordinate transformations to globally linearize the dynamics. While recent deep learning approaches have been useful in…

Dynamical Systems · Mathematics 2020-06-23 Shaowu Pan , Karthik Duraisamy

Koopman liftings have been successfully used to learn high dimensional linear approximations for autonomous systems for prediction purposes, or for control systems for leveraging linear control techniques to control nonlinear dynamics. In…

Systems and Control · Electrical Eng. & Systems 2023-06-16 Haldun Balim , Antoine Aspeel , Zexiang Liu , Necmiye Ozay

This paper investigates the data-driven predictive control problems for a class of continuous-time industrial processes with completely unknown dynamics. The proposed approach employs the data-driven technique to get the system matrices…

Optimization and Control · Mathematics 2020-12-08 Yuanqiang Zhou , Dewei Li , Yugeng Xi

Nonlinearity in dynamics has long been a major challenge in robotics, often causing significant performance degradation in existing control algorithms. For example, the navigation of bipedal robots can exhibit nonlinear behaviors even under…

Robotics · Computer Science 2026-03-10 Jeonghwan Kim , Yunhai Han , Harish Ravichandar , Sehoon Ha

This letter presents an analytical linear parameter-varying (LPV) representation of quadrotor dynamics utilizing Koopman theory, facilitating computationally efficient linear model predictive control (LMPC) for real-time trajectory…

Systems and Control · Electrical Eng. & Systems 2025-10-20 Santosh M. Rajkumar , Chengyu Yang , Yuliang Gu , Sheng Cheng , Naira Hovakimyan , Debdipta Goswami

Koopman operator theory is a popular candidate for data-driven modeling because it provides a global linearization representation for nonlinear dynamical systems. However, existing Koopman operator-based methods suffer from shortcomings in…

Machine Learning · Computer Science 2025-03-26 Yuhong Jin , Andong Cong , Lei Hou , Qiang Gao , Xiangdong Ge , Chonglong Zhu , Yongzhi Feng , Jun Li

This paper introduces a Koopman-enhanced distributed switched model predictive control (SMPC) framework for safe and scalable navigation of quadrotor unmanned aerial vehicles (UAVs) in dynamic environments with moving obstacles. The…

Systems and Control · Electrical Eng. & Systems 2025-12-01 Ali Azarbahram , Chrystian Pool Yuca Huanca , Gian Paolo Incremona , Patrizio Colaneri

Distributed model predictive control methods for uncertain systems often suffer from considerable conservatism and can tolerate only small uncertainties due to the use of robust formulations that are amenable to distributed design and…

Systems and Control · Electrical Eng. & Systems 2022-03-03 Simon Muntwiler , Kim P. Wabersich , Lukas Hewing , Melanie N. Zeilinger

This paper studies the problem of steering the distribution of a linear time-invariant system from an initial normal distribution to a terminal normal distribution under no knowledge of the system dynamics. This data-driven control…

Systems and Control · Electrical Eng. & Systems 2023-04-03 Joshua Pilipovsky , Panagiotis Tsiotras

This paper develops a data-driven safe control framework for linear systems possessing a known strict-feedback structure, but with most plant parameters, external disturbances, and input delay being unknown. By leveraging Koopman operator…

Systems and Control · Electrical Eng. & Systems 2026-02-10 Zhenxu Zhao , Ji Wang , Weiyao Lan