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Fixed-time cluster consensus for multi-agent systems via event-triggered control.

Suna Duan1, Zhiyong Yu1, Haijun Jiang2

  • 1The College of Mathematics and System Science, Xinjiang University, Urumqi 830017, China.

ISA Transactions
|May 9, 2025
PubMed
Summary
This summary is machine-generated.

This study introduces novel event-triggered control protocols for fixed-time (FXT) cluster consensus in multi-agent systems (MASs). These methods ensure system stability despite nonlinear dynamics and disturbances, optimizing control costs.

Keywords:
Cluster consensusEvent-triggered mechanismsMulti-agent systemsUncertain disturbances

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Area of Science:

  • Control Systems Engineering
  • Networked Systems
  • Robotics

Background:

  • Multi-agent systems (MASs) face challenges in achieving consensus with complex dynamics.
  • Network topologies with cooperative and competitive relationships introduce significant control hurdles.
  • Achieving fixed-time (FXT) consensus requires robust control strategies under uncertainty.

Purpose of the Study:

  • To develop novel static and dynamic event-triggered control protocols for FXT cluster consensus in MASs.
  • To address nonlinear dynamics and uncertain disturbances within the MAS.
  • To optimize control costs and reduce event-triggering frequency while ensuring stability.

Main Methods:

  • Design of a static event-triggered control protocol with tailored intra-cluster and inter-cluster information exchange rules.
  • Development of a distributed dynamic event-triggered control protocol for enhanced efficiency.
  • Application of graph theory and Lyapunov stability theory to derive consensus conditions.
  • Analysis to exclude the Zeno phenomenon under proposed protocols.

Main Results:

  • Sufficient conditions for achieving FXT cluster consensus in MASs with nonlinear dynamics and disturbances were established.
  • The proposed static and dynamic event-triggered protocols effectively manage intra- and inter-group information influence.
  • The Zeno phenomenon was successfully excluded, ensuring practical implementability of the control strategies.
  • Numerical examples validated the effectiveness of the developed control protocols.

Conclusions:

  • The proposed static and dynamic event-triggered control protocols ensure FXT cluster consensus for MASs with nonlinear dynamics and disturbances.
  • These protocols offer a balance between control performance and communication efficiency.
  • The findings contribute to the advancement of distributed control for complex multi-agent systems.