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Robust Path Tracking for Vehicles via Continuous-Time Residual Learning: An ICODE-MPPI Approach

Summary

This paper proposes ICODE-MPPI, a robust framework that uses Input Concomitant Neural ODEs (ICODEs) to learn and compensate for unmodeled residual dynamics, enhancing Model Predictive Path Integral (MPPI) control for complex trajectories. High-fidelity simulations show up to 69% reduction in cross-tracking error and significantly smoother steering compared to standard MPPI.

SourcearXiv RoboticsAuthor: Shugen Song, Wenjie Mei, Chengyan Zhao
Robust Path Tracking for Vehicles via Continuous-Time Residual Learning: An ICODE-MPPI Approach
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[2605.03260] Robust Path Tracking for Vehicles via Continuous-Time Residual Learning: An ICODE-MPPI Approach

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arXiv:2605.03260 (cs)

[Submitted on 5 May 2026]

Title:Robust Path Tracking for Vehicles via Continuous-Time Residual Learning: An ICODE-MPPI Approach

Authors:Shugen Song, Wenjie Mei, Chengyan Zhao

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Abstract:Model Predictive Path Integral (MPPI) control is a powerful sampling-based strategy for nonlinear autonomous systems. However, its performance is often bottlenecked by the fidelity of nominal dynamics. We propose ICODE-MPPI, a robust framework that leverages Input Concomitant Neural Ordinary Differential Equations (ICODEs) to learn and compensate for unmodeled residual dynamics. Unlike discrete-time learners, ICODEs maintain physical consistency and temporal continuity during the MPPI prediction horizon. High-fidelity simulations on complex trajectories demonstrate that ICODE-MPPI achieves up to a 69\% reduction in cross-tracking error under persistent disturbances compared to standard MPPI control. Furthermore, our analysis confirms that ICODE-MPPI significantly suppresses control chattering, yielding smoother steering commands and superior robust performance.

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Robotics (cs.RO)

Cite as: arXiv:2605.03260 [cs.RO]

(or arXiv:2605.03260v1 [cs.RO] for this version)

https://doi.org/10.48550/arXiv.2605.03260

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arXiv-issued DOI via DataCite (pending registration)

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From: Wenjie Mei [view email] [v1] Tue, 5 May 2026 01:20:51 UTC (204 KB)

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Key points

  • ICODE-MPPI compensates for unmodeled dynamics via continuous-time residual learning.
  • Achieves up to 69% reduction in cross-tracking error over standard MPPI.
  • Suppresses control chattering, yielding smoother steering commands.

Highlights and analysis are generated automatically and may contain errors. Check the original source.