Related Experiment Video
Updated: Jul 25, 2025

The HoneyComb Paradigm for Research on Collective Human Behavior
Published on: January 19, 2019
Formation with Non-Collision Control Strategies for Second-Order Multi-Agent Systems
Eduardo Aranda-Bricaire1, Jaime González-Sierra2
1Centro de Investigación y de Estudios Avanzados del Instituto Politécnico Nacional, Av. IPN 2508, San Pedro Zacatenco, Mexico City 07360, Mexico.
Abstract:
This article tackles formation control with non-collision for a multi-agent system with second-order dynamics. The nested saturation approach is proposed to solve the well-known formation control problem, allowing us to delimit the acceleration and velocity of each agent. On the other hand, repulsive vector fields (RVFs) are developed to avoid collisions among the agents. For this purpose, a parameter depending on the distances and velocities among the agents is designed to scale the RVFs adequately. It is shown that when the agents are at risk of collision, the distances among them are always greater than the safety distance. Numerical simulations and a comparison with a repulsive potential function (RPF) illustrate the agents' performance.
Related Concept Videos
Collisions in Multiple Dimensions: Problem Solving
A small car of mass 1,200 kg traveling east at 60 km/h collides at an intersection with a truck of mass 3,000 kg traveling due north at 40 km/h. The two vehicles are locked together. What is the...
Collisions in Multiple Dimensions: Introduction
Types of Collisions - II
Controller Configurations
Control-system compensation involves various configurations, most commonly series or cascade compensation, in which the controller...
Types Of Collisions - I
Second Order systems I
By reinterpreting the system, one can derive the closed-loop transfer function, which...

