Low Computational Cost for Multiple Waypoints Trajectory Planning: A Time‐Optimal‐Based Approach

In the field of mobile robots, achieving minimum time in executing trajectories is crucial for applications like delivery, inspection, and search and rescue. In this article, a novel time‐optimal planner based on optimization methods is introduced. Despite the high computational cost associated with...

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Main Authors: Da‐hui Lin‐Yang, Francisco Pastor, Alfonso J. García‐Cerezo
Format: Article
Language:English
Published: Wiley 2025-01-01
Series:Advanced Intelligent Systems
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Online Access:https://doi.org/10.1002/aisy.202400363
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author Da‐hui Lin‐Yang
Francisco Pastor
Alfonso J. García‐Cerezo
author_facet Da‐hui Lin‐Yang
Francisco Pastor
Alfonso J. García‐Cerezo
author_sort Da‐hui Lin‐Yang
collection DOAJ
description In the field of mobile robots, achieving minimum time in executing trajectories is crucial for applications like delivery, inspection, and search and rescue. In this article, a novel time‐optimal planner based on optimization methods is introduced. Despite the high computational cost associated with such methods, the solution calculates time‐optimal multi‐waypoint trajectories, achieving results in the order of milliseconds. The proposed method formulates a time‐optimal trajectory using the Pontryagin's maximum principle as a policy. By utilizing a point mass model, the planner generates trajectories that are adaptable to different robot models. The approach incorporates a definition of a search space to guarantee convergence while considering the system limits. Simulation and real‐world experiments are performed to validate the feasibility of our method with different configurations. Simulation results compared to a benchmark method demonstrate our approach's superior performance in terms of computational time, achieving near‐optimal solutions. In addition, in the real‐world experiments, the integration of the method into practical applications is validated.
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spelling doaj-art-db5a2e9fa010441194f3dcf483a9fa752025-01-21T07:26:27ZengWileyAdvanced Intelligent Systems2640-45672025-01-0171n/an/a10.1002/aisy.202400363Low Computational Cost for Multiple Waypoints Trajectory Planning: A Time‐Optimal‐Based ApproachDa‐hui Lin‐Yang0Francisco Pastor1Alfonso J. García‐Cerezo2Robotics and Mechatronics Lab, Institute for Mechatronics Engineering & Cyber‐physical Systems (IMECH.UMA) Universidad de Málaga 29071 Málaga SpainRobotics and Mechatronics Lab, Institute for Mechatronics Engineering & Cyber‐physical Systems (IMECH.UMA) Universidad de Málaga 29071 Málaga SpainRobotics and Mechatronics Lab, Institute for Mechatronics Engineering & Cyber‐physical Systems (IMECH.UMA) Universidad de Málaga 29071 Málaga SpainIn the field of mobile robots, achieving minimum time in executing trajectories is crucial for applications like delivery, inspection, and search and rescue. In this article, a novel time‐optimal planner based on optimization methods is introduced. Despite the high computational cost associated with such methods, the solution calculates time‐optimal multi‐waypoint trajectories, achieving results in the order of milliseconds. The proposed method formulates a time‐optimal trajectory using the Pontryagin's maximum principle as a policy. By utilizing a point mass model, the planner generates trajectories that are adaptable to different robot models. The approach incorporates a definition of a search space to guarantee convergence while considering the system limits. Simulation and real‐world experiments are performed to validate the feasibility of our method with different configurations. Simulation results compared to a benchmark method demonstrate our approach's superior performance in terms of computational time, achieving near‐optimal solutions. In addition, in the real‐world experiments, the integration of the method into practical applications is validated.https://doi.org/10.1002/aisy.202400363motion planningsoptimization‐based methodstime‐optimal plannings
spellingShingle Da‐hui Lin‐Yang
Francisco Pastor
Alfonso J. García‐Cerezo
Low Computational Cost for Multiple Waypoints Trajectory Planning: A Time‐Optimal‐Based Approach
Advanced Intelligent Systems
motion plannings
optimization‐based methods
time‐optimal plannings
title Low Computational Cost for Multiple Waypoints Trajectory Planning: A Time‐Optimal‐Based Approach
title_full Low Computational Cost for Multiple Waypoints Trajectory Planning: A Time‐Optimal‐Based Approach
title_fullStr Low Computational Cost for Multiple Waypoints Trajectory Planning: A Time‐Optimal‐Based Approach
title_full_unstemmed Low Computational Cost for Multiple Waypoints Trajectory Planning: A Time‐Optimal‐Based Approach
title_short Low Computational Cost for Multiple Waypoints Trajectory Planning: A Time‐Optimal‐Based Approach
title_sort low computational cost for multiple waypoints trajectory planning a time optimal based approach
topic motion plannings
optimization‐based methods
time‐optimal plannings
url https://doi.org/10.1002/aisy.202400363
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AT franciscopastor lowcomputationalcostformultiplewaypointstrajectoryplanningatimeoptimalbasedapproach
AT alfonsojgarciacerezo lowcomputationalcostformultiplewaypointstrajectoryplanningatimeoptimalbasedapproach