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This paper extends the Willems' Fundamental Lemma to nonlinear control-affine systems using the Koopman bilinear realization. This enables us to bypass the Extended Dynamic Mode Decomposition (EDMD)-based system identification step in…

Optimization and Control · Mathematics 2025-05-07 Zuxun Xiong , Zhenyi Yuan , Keyan Miao , Han Wang , Jorge Cortes , Antonis Papachristodoulou

This paper introduces a method for data-driven control based on the Koopman operator model predictive control. Unlike exiting approaches, the method does not require a dictionary and incorporates a nonlinear input transformation, thereby…

Optimization and Control · Mathematics 2023-09-22 Vít Cibulka , Milan Korda , Tomáš Haniš

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

Cooperative control of Connected and Autonomous Vehicles (CAVs) promises great benefits for mixed traffic. Most existing research focuses on model-based control strategies, assuming that car-following dynamics of human-driven vehicles are…

Systems and Control · Electrical Eng. & Systems 2022-03-28 Jiawei Wang , Yang Zheng , Qing Xu , Keqiang Li

Mitigating traffic oscillations in mixed flows of connected automated vehicles (CAVs) and human-driven vehicles (HDVs) is critical for enhancing traffic stability. A key challenge lies in modeling the nonlinear, heterogeneous behaviors of…

Systems and Control · Electrical Eng. & Systems 2026-01-06 Hao Lyu , Yanyong Guo , Pan Liu , Nan Zheng , Ting Wang , Quansheng Yue

For the control of connected and autonomous vehicles (CAVs), most existing methods focus on model-based strategies. They require explicit knowledge of car-following dynamics of human-driven vehicles that are non-trivial to identify…

Systems and Control · Electrical Eng. & Systems 2023-07-07 Jiawei Wang , Yang Zheng , Keqiang Li , Qing Xu

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

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

Constraint handling during tracking operations is at the core of many real-world control implementations and is well understood when dynamic models of the underlying system exist, yet becomes more challenging when data-driven models are…

Systems and Control · Electrical Eng. & Systems 2023-10-05 Ye Wang , Yujia Yang , Ye Pu , Chris Manzie

Koopman-based learning methods can potentially be practical and powerful tools for dynamical robotic systems. However, common methods to construct Koopman representations seek to learn lifted linear models that cannot capture nonlinear…

Robotics · Computer Science 2021-05-18 Carl Folkestad , Joel W. Burdick

This paper proposes a Koopman-based linear model predictive control (LMPC) framework for safety-critical control of nonlinear discrete-time systems. Existing MPC formulations based on discrete-time control barrier functions (DCBFs) enforce…

Systems and Control · Electrical Eng. & Systems 2026-04-01 Shuo Liu , Liang Wu , Dawei Zhang , Jan Drgona , Calin. A. Belta

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

Koopman operator theory enables a global linear representation of a given nonlinear dynamical system by transforming the nonlinear dynamics into a higher dimensional observable function space where the evolution of observable functions is…

Systems and Control · Electrical Eng. & Systems 2020-10-15 Sang Hwan Son , Abhinav Narasingam , Joseph Sang-Il Kwon

This paper continues in the work from arXiv:1903.06103 [math.OC] where a nonlinear vehicle model was approximated in a purely data-driven manner by a linear predictor of higher order, namely the Koopman operator. The vehicle system…

Optimization and Control · Mathematics 2021-03-09 Vít Cibulka , Milan Korda , Tomáš Haniš , Martin Hromčík

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 class of linear predictors for nonlinear controlled dynamical systems. The basic idea is to lift the nonlinear dynamics into a higher dimensional space where its evolution is approximately linear. In an uncontrolled…

Optimization and Control · Mathematics 2018-03-26 Milan Korda , Igor Mezić

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

Cooperative control of connected and automated vehicles (CAVs) promises smoother traffic flow. In mixed traffic, where human-driven vehicles with unknown dynamics coexist, data-driven predictive control techniques allow for CAV safe and…

Systems and Control · Electrical Eng. & Systems 2023-05-01 Jiawei Wang , Yingzhao Lian , Yuning Jiang , Qing Xu , Keqiang Li , Colin N. Jones

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

Data-driven cooperative control of connected and automated vehicles (CAVs) has gained extensive research interest as it can utilize collected data to generate control actions without relying on parametric system models that are generally…

Systems and Control · Electrical Eng. & Systems 2024-02-05 Dongjun Li , Kaixiang Zhang , Haoxuan Dong , Qun Wang , Zhaojian Li , Ziyou Song
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