Risk-Averse Model Predictive Control for Racing in Adverse Conditions

Fuente: arXiv
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Main Authors: Lew, Thomas, Greiff, Marcus, Djeumou, Franck, Suminaka, Makoto, Thompson, Michael, Subosits, John
Format: Preprint
Published: 2024
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author Lew, Thomas
Greiff, Marcus
Djeumou, Franck
Suminaka, Makoto
Thompson, Michael
Subosits, John
author_facet Lew, Thomas
Greiff, Marcus
Djeumou, Franck
Suminaka, Makoto
Thompson, Michael
Subosits, John
contents Model predictive control (MPC) algorithms can be sensitive to model mismatch when used in challenging nonlinear control tasks. In particular, the performance of MPC for vehicle control at the limits of handling suffers when the underlying model overestimates the vehicle's capabilities. In this work, we propose a risk-averse MPC framework that explicitly accounts for uncertainty over friction limits and tire parameters. Our approach leverages a sample-based approximation of an optimal control problem with a conditional value at risk (CVaR) constraint. This sample-based formulation enables planning with a set of expressive vehicle dynamics models using different tire parameters. Moreover, this formulation enables efficient numerical resolution via sequential quadratic programming and GPU parallelization. Experiments on a Lexus LC 500 show that risk-averse MPC unlocks reliable performance, while a deterministic baseline that plans using a single dynamics model may lose control of the vehicle in adverse road conditions.
format Preprint
id arxiv_https___arxiv_org_abs_2410_17183
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Risk-Averse Model Predictive Control for Racing in Adverse Conditions
Lew, Thomas
Greiff, Marcus
Djeumou, Franck
Suminaka, Makoto
Thompson, Michael
Subosits, John
Robotics
Systems and Control
Optimization and Control
Model predictive control (MPC) algorithms can be sensitive to model mismatch when used in challenging nonlinear control tasks. In particular, the performance of MPC for vehicle control at the limits of handling suffers when the underlying model overestimates the vehicle's capabilities. In this work, we propose a risk-averse MPC framework that explicitly accounts for uncertainty over friction limits and tire parameters. Our approach leverages a sample-based approximation of an optimal control problem with a conditional value at risk (CVaR) constraint. This sample-based formulation enables planning with a set of expressive vehicle dynamics models using different tire parameters. Moreover, this formulation enables efficient numerical resolution via sequential quadratic programming and GPU parallelization. Experiments on a Lexus LC 500 show that risk-averse MPC unlocks reliable performance, while a deterministic baseline that plans using a single dynamics model may lose control of the vehicle in adverse road conditions.
title Risk-Averse Model Predictive Control for Racing in Adverse Conditions
topic Robotics
Systems and Control
Optimization and Control
url https://arxiv.org/abs/2410.17183