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Distributed control for geometric pattern formation of large-scale multirobot systems.

Andrea Giusti1, Gian Carlo Maffettone2, Davide Fiore3

  • 1Department of Electrical Engineering and Information Technology, University of Naples Federico II, Naples, Italy.

Frontiers in Robotics and AI
|October 16, 2023
PubMed
Summary

This study introduces a distributed control law for multi-agent systems to form geometric patterns like lattices. It requires minimal sensors and no communication, enhancing robustness and flexibility.

Keywords:
collective dynamicsdistributed controlmultiagent systemspattern formationswarm robotics

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Area of Science:

  • Robotics
  • Control Theory
  • Distributed Systems

Background:

  • Geometric pattern formation is essential for large-scale multi-agent systems (MAS) like drone swarms and smart transportation.
  • Existing control strategies often involve a trade-off between performance and sensor/communication requirements.
  • There is a need for efficient, low-cost control methods for MAS pattern formation.

Purpose of the Study:

  • To develop a distributed control law for achieving triangular and square lattice formations in MAS.
  • To design an adaptation law for automatic control gain tuning, improving robustness and flexibility.
  • To validate the proposed approach through simulations and experiments.

Main Methods:

  • A distributed displacement-based control law is proposed.
  • An adaptive control law is introduced for automatic gain tuning.
  • Numerical simulations and experimental validation are conducted.

Main Results:

  • The control law successfully enables large groups of agents to form triangular and square lattices.
  • The system demonstrates robustness and flexibility with low sensor requirements and no inter-agent communication.
  • The adaptation law effectively tunes control gains, reducing design effort.

Conclusions:

  • The proposed distributed control law offers an effective solution for geometric pattern formation in MAS.
  • The approach is validated as robust, flexible, and suitable for systems with limited resources.
  • This work contributes to the advancement of decentralized control strategies for coordinated multi-agent behavior.