Formation control with collision avoidance for first and second order agents

This article addresses the formation control problem with collision avoidance for a multi-agent system conformed by a first-order and second-order agent. The control strategy is based on the saturation functions approach to achieve the desired formation and the Repulsive Vector Fields (RVF) methodol...

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Detalles Bibliográficos
Autores: Castillo-Aparicio, Julio, Vega-Arroyo, Alondra Zutelly, González-Sierra, Jaime, Lozano-Hernández, Yair
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2023
País:México
Institución:UNIVERSIDAD AUTÓNOMA DEL ESTADO DE HIDALGO
Repositorio:PÄDI Boletín Científico de Ciencias Básicas e Ingeniería del ICBI
Idioma:español
OAI Identifier:oai:repository.uaeh.edu.mx:article/11332
Acceso en línea:https://repository.uaeh.edu.mx/revistas/index.php/icbi/article/view/11332
Access Level:acceso abierto
Palabra clave:Formation control
Collision avoidance
First-order and second-order agents
Control de formación
Evasión de colisiones
Agentes de primer y segundo orden
Descripción
Sumario:This article addresses the formation control problem with collision avoidance for a multi-agent system conformed by a first-order and second-order agent. The control strategy is based on the saturation functions approach to achieve the desired formation and the Repulsive Vector Fields (RVF) methodology that allows for avoiding collisions. Due to the nature of the second-order agent, it can continue its motion despite reaching the desired formation; therefore, to avoid this inconvenience, a third agent is added as a reference with null dynamics. It is shown that if there is a directed spanning tree with a root node in the third agent, the position and velocity errors converge to zero. Furthermore, it is assumed that position, velocity, and acceleration variables can be measured. Numerical simulations are presented to evaluate the performance of agents using different formation graphs.