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Area of Science:

  • Control Theory
  • Multi-Agent Systems

Background:

  • Achieving consensus in positive multi-agent systems is crucial for coordinated behavior.
  • Existing event-triggered strategies often face limitations in communication efficiency and resource consumption.

Purpose of the Study:

  • To develop a multi-adaptive event-triggered pinning control protocol for positive multi-agent systems.
  • To enhance communication efficiency and reduce resource consumption compared to existing methods.
  • To ensure system positivity and consensus through a novel control strategy.

Main Methods:

  • Design of two classes of event-triggered mechanisms for leaders and followers.
  • Proposal of a multi-adaptive event-triggered pinning control protocol.
  • Utilization of matrix decomposition and linear programming for constructing gain matrices and conditions.
  • Extension to observer-based control scenarios with separate observer designs.
  • Integration of adaptive techniques and event-triggered mechanisms to minimize triggering intervals.

Main Results:

  • The proposed protocol effectively reduces communication costs and resource consumption.
  • Sufficient conditions are derived to guarantee system positivity and consensus.
  • Observer-based control scenarios demonstrate reduced observer update frequency.
  • Analytical derivation of a minimum event-triggering interval bound confirms the exclusion of Zeno behavior.

Conclusions:

  • The developed multi-adaptive event-triggered pinning control protocol is effective for positive multi-agent systems.
  • The strategy offers significant improvements in communication and resource efficiency.
  • The findings are validated through simulations and an illustrative example.