Abstract

In this paper, considering the difference in social distancing among individuals, according to the extent of social distancing, a group composed of N mobile agents is divided into multiple different subgroups. Especially, from the perspective of differential game theory, the flocking problem of different subgroups can be regarded as collision avoidance between neighboring agents, or obstacle avoidance between agents and virtual static/dynamic obstacles. To explore the internal mechanism of this interesting problem, a novel flocking algorithm with multiple virtual leaders is designed. The proposed algorithm is a modified version of the traditional flocking and semi-flocking algorithms. Based on the Lyapunov stability theorem and LaSalle's invariance principle, the stability analysis of the proposed algorithm is then proven. Furthermore, considering the complex environment that swarm robots or unmanned aerial vehicles (UAVs) may face when performing military missions such as surveillance, reconnaissance, and rescue, etc., we also investigate the flocking problem of multi-agents in both virtual static and dynamic obstacles environment. Finally, three kinds of simulation results are provided to demonstrate the effectiveness of the proposed results.

Highlights

  • Flocking, a common phenomenon in nature, is characterized by self-organization, local interaction, and decentralization [1]–[3]

  • The flocking problem of different subgroups can be regarded as collision avoidance between neighboring agents, or obstacle avoidance between agents and virtual static/dynamic obstacles

  • Considering the complex environment that swarm robots or unmanned aerial vehicles (UAVs) may face when performing military missions such as surveillance, reconnaissance, and rescue, etc., we investigate the flocking problem of multi-agents in both virtual static and dynamic obstacles environment

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Summary

INTRODUCTION

Flocking (or collective behavior), a common phenomenon in nature, is characterized by self-organization, local interaction, and decentralization [1]–[3]. Chen: Flocking for Multiple Subgroups of Multi-Agents With Different Social Distancing. During the fight against COVID-19, social distancing for everyone has increased by more than 2-fold compared with that observed during the normal periods [26] It is of great theoretical and practical significance for the research on the flocking of multi-agents with different social distancing and sensing radii. The flocking problem of different subgroups can be regarded as collision avoidance between neighboring agents, or obstacle avoidance between agents and virtual static/dynamic obstacles (the virtual obstacles will be illustrated in Sections II and V) In this way, to some extent, the calculation difficulties for a single agent (or robot) can be reduced.

PRELIMINARIES OF GRAPH THEORY
STABILITY ANALYSIS
SIMULATION RESULTS
CONCLUSION
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