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Main Authors: Parwana, Hardik, Black, Mitchell, Hoxha, Bardh, Okamoto, Hideki, Fainekos, Georgios, Prokhorov, Danil, Panagou, Dimitra
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2411.09198
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author Parwana, Hardik
Black, Mitchell
Hoxha, Bardh
Okamoto, Hideki
Fainekos, Georgios
Prokhorov, Danil
Panagou, Dimitra
author_facet Parwana, Hardik
Black, Mitchell
Hoxha, Bardh
Okamoto, Hideki
Fainekos, Georgios
Prokhorov, Danil
Panagou, Dimitra
contents Path Planning for stochastic hybrid systems presents a unique challenge of predicting distributions of future states subject to a state-dependent dynamics switching function. In this work, we propose a variant of Model Predictive Path Integral Control (MPPI) to plan kinodynamic paths for such systems. Monte Carlo may be inaccurate when few samples are chosen to predict future states under state-dependent disturbances. We employ recently proposed Unscented Transform-based methods to capture stochasticity in the states as well as the state-dependent switching surfaces. This is in contrast to previous works that perform switching based only on the mean of predicted states. We focus our motion planning application on the navigation of a mobile robot in the presence of dynamically moving agents whose responses are based on sensor-constrained attention zones. We evaluate our framework on a simulated mobile robot and show faster convergence to a goal without collisions when the robot exploits the hybrid human dynamics versus when it does not.
format Preprint
id arxiv_https___arxiv_org_abs_2411_09198
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Risk-aware MPPI for Stochastic Hybrid Systems
Parwana, Hardik
Black, Mitchell
Hoxha, Bardh
Okamoto, Hideki
Fainekos, Georgios
Prokhorov, Danil
Panagou, Dimitra
Robotics
Path Planning for stochastic hybrid systems presents a unique challenge of predicting distributions of future states subject to a state-dependent dynamics switching function. In this work, we propose a variant of Model Predictive Path Integral Control (MPPI) to plan kinodynamic paths for such systems. Monte Carlo may be inaccurate when few samples are chosen to predict future states under state-dependent disturbances. We employ recently proposed Unscented Transform-based methods to capture stochasticity in the states as well as the state-dependent switching surfaces. This is in contrast to previous works that perform switching based only on the mean of predicted states. We focus our motion planning application on the navigation of a mobile robot in the presence of dynamically moving agents whose responses are based on sensor-constrained attention zones. We evaluate our framework on a simulated mobile robot and show faster convergence to a goal without collisions when the robot exploits the hybrid human dynamics versus when it does not.
title Risk-aware MPPI for Stochastic Hybrid Systems
topic Robotics
url https://arxiv.org/abs/2411.09198