Beyond Constant Parameters: Hyper Prediction Models and HyperMPC

Fuente: arXiv
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Autores principales: Węgrzynowski, Jan, Kicki, Piotr, Czechmanowski, Grzegorz, Krupka, Maciej, Walas, Krzysztof
Formato: Preprint
Publicado: 2025
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author Węgrzynowski, Jan
Kicki, Piotr
Czechmanowski, Grzegorz
Krupka, Maciej
Walas, Krzysztof
author_facet Węgrzynowski, Jan
Kicki, Piotr
Czechmanowski, Grzegorz
Krupka, Maciej
Walas, Krzysztof
contents Model Predictive Control (MPC) is among the most widely adopted and reliable methods for robot control, relying critically on an accurate dynamics model. However, existing dynamics models used in the gradient-based MPC are limited by computational complexity and state representation. To address this limitation, we propose the Hyper Prediction Model (HyperPM) - a novel approach in which we project the unmodeled dynamics onto a time-dependent dynamics model. This time-dependency is captured through time-varying model parameters, whose evolution over the MPC prediction horizon is learned using a neural network. Such formulation preserves the computational efficiency and robustness of the base model while equipping it with the capacity to anticipate previously unmodeled phenomena. We evaluated the proposed approach on several challenging systems, including real-world F1TENTH autonomous racing, and demonstrated that it significantly reduces long-horizon prediction errors. Moreover, when integrated within the MPC framework (HyperMPC), our method consistently outperforms existing state-of-the-art techniques.
format Preprint
id arxiv_https___arxiv_org_abs_2508_06181
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Beyond Constant Parameters: Hyper Prediction Models and HyperMPC
Węgrzynowski, Jan
Kicki, Piotr
Czechmanowski, Grzegorz
Krupka, Maciej
Walas, Krzysztof
Robotics
Model Predictive Control (MPC) is among the most widely adopted and reliable methods for robot control, relying critically on an accurate dynamics model. However, existing dynamics models used in the gradient-based MPC are limited by computational complexity and state representation. To address this limitation, we propose the Hyper Prediction Model (HyperPM) - a novel approach in which we project the unmodeled dynamics onto a time-dependent dynamics model. This time-dependency is captured through time-varying model parameters, whose evolution over the MPC prediction horizon is learned using a neural network. Such formulation preserves the computational efficiency and robustness of the base model while equipping it with the capacity to anticipate previously unmodeled phenomena. We evaluated the proposed approach on several challenging systems, including real-world F1TENTH autonomous racing, and demonstrated that it significantly reduces long-horizon prediction errors. Moreover, when integrated within the MPC framework (HyperMPC), our method consistently outperforms existing state-of-the-art techniques.
title Beyond Constant Parameters: Hyper Prediction Models and HyperMPC
topic Robotics
url https://arxiv.org/abs/2508.06181