Path Planning and Motion Control for Accurate Positioning of Car-like Robots

Fuente: arXiv
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Auteurs principaux: Dai, Jin, Wang, Zejiang, Wang, Yebin, Quirynen, Rien, Di Cairano, Stefano
Format: Preprint
Publié: 2024
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author Dai, Jin
Wang, Zejiang
Wang, Yebin
Quirynen, Rien
Di Cairano, Stefano
author_facet Dai, Jin
Wang, Zejiang
Wang, Yebin
Quirynen, Rien
Di Cairano, Stefano
contents This paper investigates the planning and control for accurate positioning of car-like robots. We propose a solution that integrates two modules: a motion planner, facilitated by the rapidly-exploring random tree algorithm and continuous-curvature (CC) steering technique, generates a CC trajectory as a reference; and a nonlinear model predictive controller (NMPC) regulates the robot to accurately track the reference trajectory. Based on the $μ$-tangency conditions in prior art, we derive explicit existence conditions and develop associated computation methods for a special class of CC paths which not only admit the same driving patterns as Reeds-Shepp paths but also consist of cusp-free clothoid turns. Afterwards, we create an autonomous vehicle parking scenario where the NMPC endeavors to follow the reference trajectory. Feasibility and computational efficiency of the CC steering are validated by numerical simulation. CarSim-Simulink joint simulations statistically verify that with exactly same NMPC, the closed-loop system with CC trajectories as references substantially outperforms the case where Reeds-Shepp trajectories are used as references.
format Preprint
id arxiv_https___arxiv_org_abs_2405_06290
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Path Planning and Motion Control for Accurate Positioning of Car-like Robots
Dai, Jin
Wang, Zejiang
Wang, Yebin
Quirynen, Rien
Di Cairano, Stefano
Robotics
Systems and Control
This paper investigates the planning and control for accurate positioning of car-like robots. We propose a solution that integrates two modules: a motion planner, facilitated by the rapidly-exploring random tree algorithm and continuous-curvature (CC) steering technique, generates a CC trajectory as a reference; and a nonlinear model predictive controller (NMPC) regulates the robot to accurately track the reference trajectory. Based on the $μ$-tangency conditions in prior art, we derive explicit existence conditions and develop associated computation methods for a special class of CC paths which not only admit the same driving patterns as Reeds-Shepp paths but also consist of cusp-free clothoid turns. Afterwards, we create an autonomous vehicle parking scenario where the NMPC endeavors to follow the reference trajectory. Feasibility and computational efficiency of the CC steering are validated by numerical simulation. CarSim-Simulink joint simulations statistically verify that with exactly same NMPC, the closed-loop system with CC trajectories as references substantially outperforms the case where Reeds-Shepp trajectories are used as references.
title Path Planning and Motion Control for Accurate Positioning of Car-like Robots
topic Robotics
Systems and Control
url https://arxiv.org/abs/2405.06290