Distributed Formation Control of Multi-Robot Systems with Path Navigation via Complex Laplacian

This paper focuses on the formation control of multi-robot systems with leader–follower network structure in directed topology to guide a system composed of multiple mobile robot agents to achieve global path navigation with a desired formation. A distributed linear formation control strategy based...

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Main Authors: Xiru Wu, Rili Wu, Yuchong Zhang, Jiansheng Peng
Format: Article
Language:English
Published: MDPI AG 2023-11-01
Series:Entropy
Subjects:
Online Access:https://www.mdpi.com/1099-4300/25/11/1536
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author Xiru Wu
Rili Wu
Yuchong Zhang
Jiansheng Peng
author_facet Xiru Wu
Rili Wu
Yuchong Zhang
Jiansheng Peng
author_sort Xiru Wu
collection DOAJ
description This paper focuses on the formation control of multi-robot systems with leader–follower network structure in directed topology to guide a system composed of multiple mobile robot agents to achieve global path navigation with a desired formation. A distributed linear formation control strategy based on the complex Laplacian matrix is employed, which enables the robot agents to converge into a similar formation of the desired formation, and the size and orientation of the formation are determined by the positions of two leaders. Additionally, in order to ensure that all robot agents in the formation move at a common velocity, the distributed control approach also includes a velocity consensus component. Based on the realization of similar formation control of a multi-robot system, the path navigation algorithm is combined with it to realize the global navigation of the system as a whole. Furthermore, a controller enabling the scalability of the formation size is introduced to enhance the overall maneuverability of the system in specific scenarios like narrow corridors. The simulation results demonstrate the feasibility of the proposed approach.
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spelling doaj.art-b2811289726d47aa98094fa00b6099ab2023-11-24T14:41:03ZengMDPI AGEntropy1099-43002023-11-012511153610.3390/e25111536Distributed Formation Control of Multi-Robot Systems with Path Navigation via Complex LaplacianXiru Wu0Rili Wu1Yuchong Zhang2Jiansheng Peng3School of Electronic Engineering and Automation, Guilin University of Electronic Technology, Guilin 541004, ChinaSchool of Electronic Engineering and Automation, Guilin University of Electronic Technology, Guilin 541004, ChinaSchool of Electronic Engineering and Automation, Guilin University of Electronic Technology, Guilin 541004, ChinaKey Laboratory of AI and Information Processing, Education Department of Guangxi Zhuang Autonomous Region, Hechi University, Hechi 546300, ChinaThis paper focuses on the formation control of multi-robot systems with leader–follower network structure in directed topology to guide a system composed of multiple mobile robot agents to achieve global path navigation with a desired formation. A distributed linear formation control strategy based on the complex Laplacian matrix is employed, which enables the robot agents to converge into a similar formation of the desired formation, and the size and orientation of the formation are determined by the positions of two leaders. Additionally, in order to ensure that all robot agents in the formation move at a common velocity, the distributed control approach also includes a velocity consensus component. Based on the realization of similar formation control of a multi-robot system, the path navigation algorithm is combined with it to realize the global navigation of the system as a whole. Furthermore, a controller enabling the scalability of the formation size is introduced to enhance the overall maneuverability of the system in specific scenarios like narrow corridors. The simulation results demonstrate the feasibility of the proposed approach.https://www.mdpi.com/1099-4300/25/11/1536complex Laplacianformation controlpath navigationmulti-robot systems
spellingShingle Xiru Wu
Rili Wu
Yuchong Zhang
Jiansheng Peng
Distributed Formation Control of Multi-Robot Systems with Path Navigation via Complex Laplacian
Entropy
complex Laplacian
formation control
path navigation
multi-robot systems
title Distributed Formation Control of Multi-Robot Systems with Path Navigation via Complex Laplacian
title_full Distributed Formation Control of Multi-Robot Systems with Path Navigation via Complex Laplacian
title_fullStr Distributed Formation Control of Multi-Robot Systems with Path Navigation via Complex Laplacian
title_full_unstemmed Distributed Formation Control of Multi-Robot Systems with Path Navigation via Complex Laplacian
title_short Distributed Formation Control of Multi-Robot Systems with Path Navigation via Complex Laplacian
title_sort distributed formation control of multi robot systems with path navigation via complex laplacian
topic complex Laplacian
formation control
path navigation
multi-robot systems
url https://www.mdpi.com/1099-4300/25/11/1536
work_keys_str_mv AT xiruwu distributedformationcontrolofmultirobotsystemswithpathnavigationviacomplexlaplacian
AT riliwu distributedformationcontrolofmultirobotsystemswithpathnavigationviacomplexlaplacian
AT yuchongzhang distributedformationcontrolofmultirobotsystemswithpathnavigationviacomplexlaplacian
AT jianshengpeng distributedformationcontrolofmultirobotsystemswithpathnavigationviacomplexlaplacian