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Path Integral Particle Filtering for Hybrid Systems via Saltation Matrices

01/2024 โ€“ 02/2026  ยท  Research

Contributors

Sreeranj Jayadevan, Bo Yuan, Hongzhe Yu, Yongxin Chen

Overview/Motivation

This project specifically tackled the problem of state estimation in hybrid systems characterized by intermittent contact with their environments. This challenge is quite difficult due to uncertainty around discrete uncertainty propagation during contact events. To tackle this problem, we use a path integral filtering framework that exploits the duality between smoothing and optimal control, and couple it with saltation matrices to map out uncertainty propagation during contact.

Results/Contributions

  1. Tested on two hybrid contact systems (see images on the right)
  2. Showed improved state estimation over Monte Carlo simulations on both systems

Relevant Links

Bouncing Ball

SLIP visualization

Spring Loaded Inverted Pendulum (SLIP)