Multi-adaptive event-triggered consensus of positive multi-agent systems using pinning strategy

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.