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Related papers: A Koopman Operator-based NMPC Framework for Mobile…

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A perception-aware Nonlinear Model Predictive Control (NMPC) strategy aimed at performing vision-based target tracking and collision avoidance with a multi-rotor aerial vehicle is presented in this paper. The proposed control strategy…

Robotics · Computer Science 2023-02-10 Andriy Dmytruk , Giuseppe Silano , Davide Bicego , Daniel Bonilla Licea , Martin Saska

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 study presents an innovative approach to Model Predictive Control (MPC) by leveraging the powerful combination of Koopman theory and Deep Reinforcement Learning (DRL). By transforming nonlinear dynamical systems into a…

Systems and Control · Electrical Eng. & Systems 2025-05-22 Md Nur-A-Adam Dony

We propose a Stochastic MPC (SMPC) approach for autonomous driving which incorporates multi-modal, interaction-aware predictions of surrounding vehicles. For each mode, vehicle motion predictions are obtained by a control model described…

Systems and Control · Electrical Eng. & Systems 2022-08-09 Siddharth H. Nair , Vijay Govindarajan , Theresa Lin , Yan Wang , Eric H. Tseng , Francesco Borrelli

Model predictive control (MPC) has proven useful in enabling safe and optimal motion planning for autonomous vehicles. In this paper, we investigate how to achieve MPC-based motion planning when a neural state-space model represents the…

Robotics · Computer Science 2025-11-18 Iman Askari , Ali Vaziri , Xuemin Tu , Shen Zeng , Huazhen Fang

In this paper, we investigate a hybrid scheme that combines nonlinear model predictive control (MPC) and model-based reinforcement learning (RL) for navigation planning of an autonomous model car across offroad, unstructured terrains…

Robotics · Computer Science 2023-10-03 Faraz Lotfi , Khalil Virji , Farnoosh Faraji , Lucas Berry , Andrew Holliday , David Meger , Gregory Dudek

In recent years data-driven analysis of dynamical systems has attracted a lot of attention and transfer operator techniques, namely, Perron-Frobenius and Koopman operators are being used almost ubiquitously. Since data is always obtained in…

Systems and Control · Electrical Eng. & Systems 2022-03-29 Subhrajit Sinha , Sai Pushpak Nandanoori , Jan Drgona , Draguna Vrabie

Contrary to on-road autonomous navigation, off-road autonomy is complicated by various factors ranging from sensing challenges to terrain variability. In such a milieu, data-driven approaches have been commonly employed to capture intricate…

Robotics · Computer Science 2025-09-16 Chinmay Vilas Samak , Tanmay Vilas Samak , Ajinkya Joglekar , Umesh Vaidya , Venkat Krovi

Recently, Koopman operator theory has become a powerful tool for developing linear representations of non-linear dynamical systems. However, existing data-driven applications of Koopman operator theory, including both traditional and deep…

Machine Learning · Computer Science 2023-05-17 King Fai Yeh , Paris Flood , William Redman , Pietro Liò

This article proposes a novel Nonlinear Model Predictive Control (NMPC) framework for Micro Aerial Vehicle (MAV) autonomous navigation in constrained environments. The introduced framework allows us to consider the nonlinear dynamics of…

Koopman spectral analysis has attracted attention for understanding nonlinear dynamical systems by which we can analyze nonlinear dynamics with a linear regime by lifting observations using a nonlinear function. For analysis, we need to…

Machine Learning · Statistics 2020-12-14 Tomoharu Iwata , Yoshinobu Kawahara

We present a model predictive control (MPC) framework for efficient navigation of mobile robots in cluttered environments. The proposed approach integrates a finite-segment shortest path planner into the finite-horizon trajectory…

Robotics · Computer Science 2026-03-27 Johannes Köhler , Daniel Zhang , Raffaele Soloperto , Andrea Carron , Melanie Zeilinger

We propose a noise-robust learning framework for the Koopman operator of nonlinear dynamical systems, with guaranteed long-term stability and improved model performance for better model-based predictive control tasks. Unlike some existing…

Dynamical Systems · Mathematics 2025-08-25 Shahriar Akbar Sakib , Shaowu Pan

We present an algorithm for robust model predictive control with consideration of uncertainty and safety constraints. Our framework considers a nonlinear dynamical system subject to disturbances from an unknown but bounded uncertainty set.…

Optimization and Control · Mathematics 2021-04-23 Dongchan Lee , Konstantin Turitsyn , Jean-Jacques Slotine

We use Koopman theory for data-driven model reduction of nonlinear dynamical systems with controls. We propose generic model structures combining delay-coordinate encoding of measurements and full-state decoding to integrate reduced Koopman…

Systems and Control · Electrical Eng. & Systems 2024-01-10 Jan C. Schulze , Alexander Mitsos

Agile quadrotor flight in challenging environments has the potential to revolutionize shipping, transportation, and search and rescue applications. Nonlinear model predictive control (NMPC) has recently shown promising results for agile…

Robotics · Computer Science 2021-12-06 Drew Hanover , Philipp Foehn , Sihao Sun , Elia Kaufmann , Davide Scaramuzza

Modularized Koopman Bilinear Form (M-KBF) is presented to model and predict the transient dynamics of microgrids in the presence of disturbances. As a scalable data-driven approach, M-KBF divides the identification and prediction of the…

Systems and Control · Electrical Eng. & Systems 2022-05-19 Xinyuan Jiang , Yan Li , Daning Huang

Koopman operator theory has gained significant attention in recent years for identifying discrete-time nonlinear systems by embedding them into an infinite-dimensional linear vector space. However, providing stability guarantees while…

Systems and Control · Electrical Eng. & Systems 2025-04-03 Ruikun Zhou , Yiming Meng , Zhexuan Zeng , Jun Liu

The recent increase in data availability and reliability has led to a surge in the development of learning-based model predictive control (MPC) frameworks for robot systems. Despite attaining substantial performance improvements over their…

Robotics · Computer Science 2023-08-02 Kong Yao Chee , Thales C. Silva , M. Ani Hsieh , George J. Pappas

For dynamical systems involving decision making, the success of the system greatly depends on its ability to make good decisions with incomplete and uncertain information. By leveraging the Koopman operator and its adjoint property, we…

Dynamical Systems · Mathematics 2020-08-21 Adam R. Gerlach , Andrew Leonard , Jonathan Rogers , Chris Rackauckas