WSINDy for Model Predictive Control with Applications to Fusion, Drones, and Chaos

Fuente: arXiv
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Hauptverfasser: López, Cristian, Partridge, Mckenna, De Pascuale, Sebastian, Lore, Jeremy, Christlieb, Andrew, Becker, Stephen, Bortz, David M.
Format: Preprint
Veröffentlicht: 2026
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author López, Cristian
Partridge, Mckenna
De Pascuale, Sebastian
Lore, Jeremy
Christlieb, Andrew
Becker, Stephen
Bortz, David M.
author_facet López, Cristian
Partridge, Mckenna
De Pascuale, Sebastian
Lore, Jeremy
Christlieb, Andrew
Becker, Stephen
Bortz, David M.
contents The control of complex dynamical systems remains a fundamental challenge in science and engineering, where strong nonlinearities, the presence of noise, and computational constraints often pose significant obstacles in traditional control approaches. Recent advances in data-driven methods, particularly system identification techniques, have shown a powerful alternative by providing fast, parsimonious, interpretable models that are well-suited for model predictive control (MPC). Building on these developments, the present article embeds WSINDy with actuation inputs (WSINDYc) within a MPC framework. Compared to benchmark data-driven methods, WSINDYc enables a more robust identification of the governing dynamics, particularly in the presence of high noise levels, resulting in more accurate and efficient control. The capabilities of the proposed WSINDY-MPC framework are demonstrated on a range of problems, including a tokamak plasma boundary model that includes main ion gas puff actuation, drone tracking and collision avoidance, the chaotic Lorenz system, and a simplified flight control model for an F-8 aircraft. The proposed framework achieves superior performance in the presence of noise, enabling longer prediction horizons, lower trajectory tracking error, and a more reliable obstacle clearance, while simultaneously achieving lower MPC cost values compared to the baseline methods.
format Preprint
id arxiv_https___arxiv_org_abs_2604_23269
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle WSINDy for Model Predictive Control with Applications to Fusion, Drones, and Chaos
López, Cristian
Partridge, Mckenna
De Pascuale, Sebastian
Lore, Jeremy
Christlieb, Andrew
Becker, Stephen
Bortz, David M.
Dynamical Systems
Optimization and Control
The control of complex dynamical systems remains a fundamental challenge in science and engineering, where strong nonlinearities, the presence of noise, and computational constraints often pose significant obstacles in traditional control approaches. Recent advances in data-driven methods, particularly system identification techniques, have shown a powerful alternative by providing fast, parsimonious, interpretable models that are well-suited for model predictive control (MPC). Building on these developments, the present article embeds WSINDy with actuation inputs (WSINDYc) within a MPC framework. Compared to benchmark data-driven methods, WSINDYc enables a more robust identification of the governing dynamics, particularly in the presence of high noise levels, resulting in more accurate and efficient control. The capabilities of the proposed WSINDY-MPC framework are demonstrated on a range of problems, including a tokamak plasma boundary model that includes main ion gas puff actuation, drone tracking and collision avoidance, the chaotic Lorenz system, and a simplified flight control model for an F-8 aircraft. The proposed framework achieves superior performance in the presence of noise, enabling longer prediction horizons, lower trajectory tracking error, and a more reliable obstacle clearance, while simultaneously achieving lower MPC cost values compared to the baseline methods.
title WSINDy for Model Predictive Control with Applications to Fusion, Drones, and Chaos
topic Dynamical Systems
Optimization and Control
url https://arxiv.org/abs/2604.23269