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Distributed-observer-based cooperative control for synchronization of linear discrete-time multi-agent systems.

Hongjing Liang1, Huaguang Zhang1, Zhanshan Wang1

  • 1College of Information Science and Engineering, Northeastern University, Shenyang 110004, China.

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Summary

This study achieves output synchronization for discrete-time multi-agent systems using distributed observer-based consensus protocols. The proposed methods ensure reliable synchronization over directed communication networks.

Keywords:
Cooperative controlDiscrete-time multi-agent systemsDistributed observerSynchronization

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Area of Science:

  • Control Systems Engineering
  • Networked Systems Theory

Background:

  • Multi-agent systems require coordinated behavior for complex tasks.
  • Achieving output synchronization in discrete-time systems with directed topologies presents challenges.

Purpose of the Study:

  • To develop distributed observer-based consensus protocols for discrete-time multi-agent systems.
  • To address output synchronization under directed communication graphs with a rooted spanning tree.

Main Methods:

  • Designing distributed observer-based consensus protocols using relative outputs.
  • Employing a multi-step algorithm for protocol construction.
  • Utilizing the discrete-time algebraic Riccati equation and internal model principle.

Main Results:

  • Successful synchronization of discrete-time multi-agent systems is demonstrated.
  • The proposed protocols are effective for systems with directed communication topologies.
  • Numerical simulations validate the theoretical findings.

Conclusions:

  • The developed observer-based protocols effectively achieve output synchronization.
  • The approach is robust for discrete-time multi-agent systems with specific communication structures.
  • This work contributes to the advancement of coordinated control in networked systems.