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

• URL: http://arxiv.org/abs/2605.03260v1
• Date: Tue, 05 May 2026 01:20:51 GMT
• Title: Robust Path Tracking for Vehicles via Continuous-Time Residual Learning: An ICODE-MPPI Approach
• Abstract summary: Model Predictive Path Integral (MPPI) control is a powerful sampling-based strategy for nonlinear autonomous systems.<n>We propose ICODE-MPPI, a robust framework that leverages Input Concomitant Ordinary Differential Equations (ICODEs) to learn and compensate for unmodeled residual dynamics.<n>High-fidelity simulations on complex trajectories demonstrate that ICODE-MPPI achieves up to a 69% reduction in cross-tracking error under persistent disturbances.
• Score: 1.6567880228735359
• License: http://creativecommons.org/licenses/by/4.0/
• 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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