Gauss-Newton accelerated MPPI Control

Fuente: arXiv
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Auteurs principaux: Homburger, Hannes, Baumgärtner, Katrin, Diehl, Moritz, Reuter, Johannes
Format: Preprint
Publié: 2025
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author Homburger, Hannes
Baumgärtner, Katrin
Diehl, Moritz
Reuter, Johannes
author_facet Homburger, Hannes
Baumgärtner, Katrin
Diehl, Moritz
Reuter, Johannes
contents Model Predictive Path Integral (MPPI) control is a sampling-based optimization method that has recently attracted attention, particularly in the robotics and reinforcement learning communities. MPPI has been widely applied as a GPU-accelerated random search method to deterministic direct single-shooting optimal control problems arising in model predictive control (MPC) formulations. MPPI offers several key advantages, including flexibility, robustness, ease of implementation, and inherent parallelizability. However, its performance can deteriorate in high-dimensional settings since the optimal control problem is solved via Monte Carlo sampling. To address this limitation, this paper proposes an enhanced MPPI method that incorporates a Jacobian reconstruction technique and the second-order Generalized Gauss-Newton method. This novel approach is called \textit{Gauss-Newton accelerated MPPI}. The numerical results show that the Gauss-Newton accelerated MPPI approach substantially improves MPPI scalability and computational efficiency while preserving the key benefits of the classical MPPI framework, making it a promising approach even for high-dimensional problems.
format Preprint
id arxiv_https___arxiv_org_abs_2512_04579
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Gauss-Newton accelerated MPPI Control
Homburger, Hannes
Baumgärtner, Katrin
Diehl, Moritz
Reuter, Johannes
Systems and Control
Robotics
Model Predictive Path Integral (MPPI) control is a sampling-based optimization method that has recently attracted attention, particularly in the robotics and reinforcement learning communities. MPPI has been widely applied as a GPU-accelerated random search method to deterministic direct single-shooting optimal control problems arising in model predictive control (MPC) formulations. MPPI offers several key advantages, including flexibility, robustness, ease of implementation, and inherent parallelizability. However, its performance can deteriorate in high-dimensional settings since the optimal control problem is solved via Monte Carlo sampling. To address this limitation, this paper proposes an enhanced MPPI method that incorporates a Jacobian reconstruction technique and the second-order Generalized Gauss-Newton method. This novel approach is called \textit{Gauss-Newton accelerated MPPI}. The numerical results show that the Gauss-Newton accelerated MPPI approach substantially improves MPPI scalability and computational efficiency while preserving the key benefits of the classical MPPI framework, making it a promising approach even for high-dimensional problems.
title Gauss-Newton accelerated MPPI Control
topic Systems and Control
Robotics
url https://arxiv.org/abs/2512.04579