Optimized Model Predictive Control-Based Path Planning for Multiple Wheeled Mobile Robots in Uncertain Environments

Addressing the path planning problem for multiple wheeled mobile robots (WMRs) in uncertain environments, this paper proposes a multi-WMR path planning algorithm based on the fusion of artificial potential field and model predictive control. Firstly, an artificial potential field model for uncertain...

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Main Authors: Yang She, Chao Song, Zetian Sun, Bo Li
Format: Article
Language:English
Published: MDPI AG 2025-01-01
Series:Drones
Subjects:
Online Access:https://www.mdpi.com/2504-446X/9/1/39
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author Yang She
Chao Song
Zetian Sun
Bo Li
author_facet Yang She
Chao Song
Zetian Sun
Bo Li
author_sort Yang She
collection DOAJ
description Addressing the path planning problem for multiple wheeled mobile robots (WMRs) in uncertain environments, this paper proposes a multi-WMR path planning algorithm based on the fusion of artificial potential field and model predictive control. Firstly, an artificial potential field model for uncertain environments is established based on the APF method. Secondly, an MPC optimal controller that considers the artificial potential field model is designed to ensure the smooth avoidance of moving and concave obstacles by multiple WMRs in uncertain environments. Additionally, a formation control algorithm based on an enhanced APF method and the leader–follower algorithm is proposed to achieve formation maintenance, intra-formation collision avoidance, and obstacle circumvention, thereby ensuring formation stability. Finally, two sets of simulation experiments in uncertain environments demonstrate the effectiveness and superiority of the proposed method compared to the APF-MPC algorithm, enabling the control of multiple WMRs to reach their target positions safely, smoothly, and efficiently. Furthermore, two sets of real-world experiments validate the feasibility of the algorithm proposed in this paper.
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institution Kabale University
issn 2504-446X
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publishDate 2025-01-01
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series Drones
spelling doaj-art-0db0177156af4f1b94bca8163be56ae22025-01-24T13:29:44ZengMDPI AGDrones2504-446X2025-01-01913910.3390/drones9010039Optimized Model Predictive Control-Based Path Planning for Multiple Wheeled Mobile Robots in Uncertain EnvironmentsYang She0Chao Song1Zetian Sun2Bo Li3School of Electronics and Information, Northwestern Polytechnical University, Xi’an 710072, ChinaSchool of Electronics and Information, Northwestern Polytechnical University, Xi’an 710072, ChinaSchool of Electronics and Information, Northwestern Polytechnical University, Xi’an 710072, ChinaSchool of Electronics and Information, Northwestern Polytechnical University, Xi’an 710072, ChinaAddressing the path planning problem for multiple wheeled mobile robots (WMRs) in uncertain environments, this paper proposes a multi-WMR path planning algorithm based on the fusion of artificial potential field and model predictive control. Firstly, an artificial potential field model for uncertain environments is established based on the APF method. Secondly, an MPC optimal controller that considers the artificial potential field model is designed to ensure the smooth avoidance of moving and concave obstacles by multiple WMRs in uncertain environments. Additionally, a formation control algorithm based on an enhanced APF method and the leader–follower algorithm is proposed to achieve formation maintenance, intra-formation collision avoidance, and obstacle circumvention, thereby ensuring formation stability. Finally, two sets of simulation experiments in uncertain environments demonstrate the effectiveness and superiority of the proposed method compared to the APF-MPC algorithm, enabling the control of multiple WMRs to reach their target positions safely, smoothly, and efficiently. Furthermore, two sets of real-world experiments validate the feasibility of the algorithm proposed in this paper.https://www.mdpi.com/2504-446X/9/1/39multi-WMRartificial potential fieldMPCleader–follower
spellingShingle Yang She
Chao Song
Zetian Sun
Bo Li
Optimized Model Predictive Control-Based Path Planning for Multiple Wheeled Mobile Robots in Uncertain Environments
Drones
multi-WMR
artificial potential field
MPC
leader–follower
title Optimized Model Predictive Control-Based Path Planning for Multiple Wheeled Mobile Robots in Uncertain Environments
title_full Optimized Model Predictive Control-Based Path Planning for Multiple Wheeled Mobile Robots in Uncertain Environments
title_fullStr Optimized Model Predictive Control-Based Path Planning for Multiple Wheeled Mobile Robots in Uncertain Environments
title_full_unstemmed Optimized Model Predictive Control-Based Path Planning for Multiple Wheeled Mobile Robots in Uncertain Environments
title_short Optimized Model Predictive Control-Based Path Planning for Multiple Wheeled Mobile Robots in Uncertain Environments
title_sort optimized model predictive control based path planning for multiple wheeled mobile robots in uncertain environments
topic multi-WMR
artificial potential field
MPC
leader–follower
url https://www.mdpi.com/2504-446X/9/1/39
work_keys_str_mv AT yangshe optimizedmodelpredictivecontrolbasedpathplanningformultiplewheeledmobilerobotsinuncertainenvironments
AT chaosong optimizedmodelpredictivecontrolbasedpathplanningformultiplewheeledmobilerobotsinuncertainenvironments
AT zetiansun optimizedmodelpredictivecontrolbasedpathplanningformultiplewheeledmobilerobotsinuncertainenvironments
AT boli optimizedmodelpredictivecontrolbasedpathplanningformultiplewheeledmobilerobotsinuncertainenvironments