Consensus of Leader-Following Multiagent Systems: A Distributed Event-Triggered Impulsive Control Strategy

Area of Science:

• Control Theory
• Systems Engineering
• Distributed Systems

Background:

• Leader-following consensus is crucial for coordinated multiagent systems.
• Traditional methods often require continuous communication, leading to high resource consumption.
• Event-triggered control offers a promising alternative for reducing communication load.

Purpose of the Study:

• To investigate the leader-following consensus problem in multiagent systems.
• To develop a distributed event-triggered impulsive control strategy.
• To ensure stability and avoid Zeno-behavior in the proposed control schema.

Main Methods:

• Utilizing a distributed event-triggered impulsive control mechanism.
• Implementing state-dependent error triggering for controller updates.
• Applying Lyapunov stability theory and impulsive control methods for analysis.

Main Results:

• Sufficient criteria for achieving leader-following consensus were derived.
• The proposed method successfully avoids continuous communication between agents.
• Zeno-behavior was effectively excluded in the developed control schema.

Conclusions:

• The distributed event-triggered impulsive control is effective for leader-following consensus.
• This approach significantly reduces communication requirements in multiagent systems.
• The method is validated through numerical simulations, demonstrating its practical applicability.