Vehicular applications of koopman operator theory—a survey

WA Manzoor, S Rawashdeh, A Mohammadi - IEEE Access, 2023 - ieeexplore.ieee.org
Koopman operator theory has proven to be a promising approach to nonlinear system
identification and global linearization. For nearly a century, there had been no efficient …

Koopman operator-based model identification and control for automated driving vehicle

JS Kim, YS Quan, CC Chung - International Journal of Control …, 2023 - Springer
This paper proposes the Koopman operator-based model identification and control method
for a lane-keeping system. The Koopman operator is a linear mapping that can capture …

Koopman operators in robot learning

L Shi, M Haseli, G Mamakoukas, D Bruder… - arXiv preprint arXiv …, 2024 - arxiv.org
Koopman operator theory offers a rigorous treatment of dynamics and has been emerging
as a powerful modeling and learning-based control method enabling significant …

Model predictive control for tracking using artificial references: Fundamentals, recent results and practical implementation

P Krupa, J Köhler, A Ferramosca, I Alvarado… - arXiv preprint arXiv …, 2024 - arxiv.org
This paper provides a comprehensive tutorial on a family of Model Predictive Control (MPC)
formulations, known as MPC for tracking, which are characterized by including an artificial …

K-SMPC: Koopman Operator-Based Stochastic Model Predictive Control for Enhanced Lateral Control of Autonomous Vehicles

JS Kim, YS Quan, CC Chung - arXiv preprint arXiv:2310.10214, 2023 - arxiv.org
This paper proposes Koopman operator-based Stochastic Model Predictive Control (K-
SMPC) for enhanced lateral control of autonomous vehicles. The Koopman operator is a …

Koopman Operator-based System Identification & Prediction in Vehicular Applications with Nonlinear Dynamics

WA Manzoor - 2023 - deepblue.lib.umich.edu
This dissertation presents the development and applications of Koopman operator theory for
solving system identification and prediction problems in the domain of vehicular systems …

Koopman Operator Approach Data-Driven Optimal Control Algorithm for Autonomous Vehicles with various characteristics

H Kim, HH Lee, SC Kee - 2024 IEEE Intelligent Vehicles …, 2024 - ieeexplore.ieee.org
The complex mathematical model of autonomous vehicles makes it difficult for system
identification due to a combination of non-linearity and uncertainty. Various strategies have …

Robust Data-Driven Predictive Control for Linear Time-Varying Systems

K Hu, T Liu - IEEE Control Systems Letters, 2024 - ieeexplore.ieee.org
This letter presents a new robust data-driven predictive control scheme for linear time-
varying (LTV) systems with unknown nominal system models. To tackle the challenges …

K-BMPC: Derivative-based Koopman Bilinear Model Predictive Control For Tractor-trailer Trajectory Tracking With Unknown Parameters

Z Wang, H Zhang, J Wang - 2024 IEEE International …, 2024 - ieeexplore.ieee.org
Nonlinear dynamics bring difficulties to controller design for control-affine systems such as
tractor-trailer vehicles, especially when the parameters in the dynamics are unknown. To …

Koopman Operator Theory and Dynamic Mode Decomposition in Data-Driven Science and Engineering A Comprehensive Review

R Ghosh, M Mcafee - 2024 - hal.science
Poincaré's geometric representation has long been fundamental in dynamical system
analysis. However, its limitations in handling high-dimensional and uncertain systems have …