Stochastic Model Predictive Control with Optimal Linear Feedback for Mobile Robots in Dynamic Environments

Fuente: arXiv
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Autori principali: Gao, Yunfan, Messerer, Florian, van Duijkeren, Niels, Diehl, Moritz
Natura: Preprint
Pubblicazione: 2024
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author Gao, Yunfan
Messerer, Florian
van Duijkeren, Niels
Diehl, Moritz
author_facet Gao, Yunfan
Messerer, Florian
van Duijkeren, Niels
Diehl, Moritz
contents Robot navigation around humans can be a challenging problem since human movements are hard to predict. Stochastic model predictive control (MPC) can account for such uncertainties and approximately bound the probability of a collision to take place. In this paper, to counteract the rapidly growing human motion uncertainty over time, we incorporate state feedback in the stochastic MPC. This allows the robot to more closely track reference trajectories. To this end the feedback policy is left as a degree of freedom in the optimal control problem. The stochastic MPC with feedback is validated in simulation experiments and is compared against nominal MPC and stochastic MPC without feedback. The added computation time can be limited by reducing the number of additional variables for the feedback law with a small compromise in control performance.
format Preprint
id arxiv_https___arxiv_org_abs_2407_14220
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Stochastic Model Predictive Control with Optimal Linear Feedback for Mobile Robots in Dynamic Environments
Gao, Yunfan
Messerer, Florian
van Duijkeren, Niels
Diehl, Moritz
Robotics
Systems and Control
Robot navigation around humans can be a challenging problem since human movements are hard to predict. Stochastic model predictive control (MPC) can account for such uncertainties and approximately bound the probability of a collision to take place. In this paper, to counteract the rapidly growing human motion uncertainty over time, we incorporate state feedback in the stochastic MPC. This allows the robot to more closely track reference trajectories. To this end the feedback policy is left as a degree of freedom in the optimal control problem. The stochastic MPC with feedback is validated in simulation experiments and is compared against nominal MPC and stochastic MPC without feedback. The added computation time can be limited by reducing the number of additional variables for the feedback law with a small compromise in control performance.
title Stochastic Model Predictive Control with Optimal Linear Feedback for Mobile Robots in Dynamic Environments
topic Robotics
Systems and Control
url https://arxiv.org/abs/2407.14220