Path Integral Particle Filtering for Hybrid Systems via Saltation Matrices

Fuente: arXiv
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Autores principales: Shaji, Karthik, Jayadevan, Sreeranj, Yuan, Bo, Yu, Hongzhe, Chen, Yongxin
Formato: Preprint
Publicado: 2026
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author Shaji, Karthik
Jayadevan, Sreeranj
Yuan, Bo
Yu, Hongzhe
Chen, Yongxin
author_facet Shaji, Karthik
Jayadevan, Sreeranj
Yuan, Bo
Yu, Hongzhe
Chen, Yongxin
contents State estimation for hybrid systems that undergo intermittent contact with their environments, such as extraplanetary robots and satellites undergoing docking operations, is difficult due to the discrete uncertainty propagation during contact. To handle this propagation, this paper presents an optimal-control-based particle filtering method that leverages saltation matrices to map out uncertainty propagation during contact events. By exploiting a path integral filtering framework that exploits the duality between smoothing and optimal control, the resulting state estimation algorithm is robust to outlier effects, flexible to non-Gaussian noise distributions, and handles challenging contact dynamics in hybrid systems. To evaluate the validity and consistency of the proposed approach, this paper tests it against strong baselines on the stochastic dynamics generated by a bouncing ball and spring loaded inverted pendulum.
format Preprint
id arxiv_https___arxiv_org_abs_2603_01176
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Path Integral Particle Filtering for Hybrid Systems via Saltation Matrices
Shaji, Karthik
Jayadevan, Sreeranj
Yuan, Bo
Yu, Hongzhe
Chen, Yongxin
Robotics
State estimation for hybrid systems that undergo intermittent contact with their environments, such as extraplanetary robots and satellites undergoing docking operations, is difficult due to the discrete uncertainty propagation during contact. To handle this propagation, this paper presents an optimal-control-based particle filtering method that leverages saltation matrices to map out uncertainty propagation during contact events. By exploiting a path integral filtering framework that exploits the duality between smoothing and optimal control, the resulting state estimation algorithm is robust to outlier effects, flexible to non-Gaussian noise distributions, and handles challenging contact dynamics in hybrid systems. To evaluate the validity and consistency of the proposed approach, this paper tests it against strong baselines on the stochastic dynamics generated by a bouncing ball and spring loaded inverted pendulum.
title Path Integral Particle Filtering for Hybrid Systems via Saltation Matrices
topic Robotics
url https://arxiv.org/abs/2603.01176