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Matrix measure-based distributed impulsive consensus on nonlinear multi-agent systems with mixed time-varying delays.

Boxun Chen1, Ze Tang1, Jianwen Feng2

  • 1Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education),Jiangnan University, Wuxi 214122, People Republic of China.

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|November 22, 2023
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Summary

This study addresses leader-following consensus in nonlinear multi-agent systems with time-varying delays. A novel distributed impulsive controller ensures all agents synchronize with the leader, achieving global consensus.

Keywords:
Distributed impulsive controlLeader-following consensusMatrix measure protocolMixed time-varying delaysMulti-agent systems

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Area of Science:

  • Control Theory
  • Nonlinear Systems
  • Multi-Agent Systems

Background:

  • Investigates the complex leader-following consensus problem in nonlinear multi-agent systems.
  • Addresses challenges posed by system and distributed time-varying delays.

Purpose of the Study:

  • To develop an innovative distributed impulsive controller for achieving global and exponential leader-following consensus.
  • To ensure all agents' states synchronize with the leader agent's trajectories.

Main Methods:

  • Employs a novel distributed impulsive controller design.
  • Utilizes matrix measure protocol, comparison principle for impulsive systems, and average impulsive interval.
  • Applies parameter variation formula to estimate convergence rates.

Main Results:

  • Derives sufficient criteria for achieving leader-following consensus.
  • Estimates two distinct convergence rates based on impulsive signal functions.
  • Demonstrates the effectiveness of the proposed control strategy through numerical examples.

Conclusions:

  • The proposed distributed impulsive control strategy effectively achieves global and exponential leader-following consensus.
  • Theoretical analysis is validated by numerical simulations, confirming the control strategy's efficacy.