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Main Authors: Yin, Ji, Tsiotras, Panagiotis, Berntorp, Karl
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2408.00494
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author Yin, Ji
Tsiotras, Panagiotis
Berntorp, Karl
author_facet Yin, Ji
Tsiotras, Panagiotis
Berntorp, Karl
contents This paper introduces a novel nonlinear stochastic model predictive control path integral (MPPI) method, which considers chance constraints on system states. The proposed belief-space stochastic MPPI (BSS-MPPI) applies Monte-Carlo sampling to evaluate state distributions resulting from underlying systematic disturbances, and utilizes a Control Barrier Function (CBF) inspired heuristic in belief space to fulfill the specified chance constraints. Compared to several previous stochastic predictive control methods, our approach applies to general nonlinear dynamics without requiring the computationally expensive system linearization step. Moreover, the BSS-MPPI controller can solve optimization problems without limiting the form of the objective function and chance constraints. By multi-threading the sampling process using a GPU, we can achieve fast real-time planning for time- and safety-critical tasks such as autonomous racing. Our results on a realistic race-car simulation study show significant reductions in constraint violation compared to some of the prior MPPI approaches, while being comparable in computation times.
format Preprint
id arxiv_https___arxiv_org_abs_2408_00494
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Chance-Constrained Information-Theoretic Stochastic Model Predictive Control with Safety Shielding
Yin, Ji
Tsiotras, Panagiotis
Berntorp, Karl
Robotics
This paper introduces a novel nonlinear stochastic model predictive control path integral (MPPI) method, which considers chance constraints on system states. The proposed belief-space stochastic MPPI (BSS-MPPI) applies Monte-Carlo sampling to evaluate state distributions resulting from underlying systematic disturbances, and utilizes a Control Barrier Function (CBF) inspired heuristic in belief space to fulfill the specified chance constraints. Compared to several previous stochastic predictive control methods, our approach applies to general nonlinear dynamics without requiring the computationally expensive system linearization step. Moreover, the BSS-MPPI controller can solve optimization problems without limiting the form of the objective function and chance constraints. By multi-threading the sampling process using a GPU, we can achieve fast real-time planning for time- and safety-critical tasks such as autonomous racing. Our results on a realistic race-car simulation study show significant reductions in constraint violation compared to some of the prior MPPI approaches, while being comparable in computation times.
title Chance-Constrained Information-Theoretic Stochastic Model Predictive Control with Safety Shielding
topic Robotics
url https://arxiv.org/abs/2408.00494