Second-order event-triggered adaptive containment control for a class of multi-agent systems

Area of Science:

• Control Theory
• Systems Engineering
• Robotics

Background:

• Multi-agent systems (MASs) are crucial for distributed tasks.
• Time-varying input delays pose significant challenges in MAS control.
• Event-triggered control aims to reduce communication load in MASs.

Purpose of the Study:

• To develop an event-triggered adaptive containment control strategy for second-order linear MASs.
• To address the challenge of time-varying input delays in MAS control.
• To reduce communication frequency while maintaining control performance.

Main Methods:

• Utilizing adaptive laws to dynamically adjust triggering thresholds based on triggering error.
• Employing augmented Lyapunov-Krasovskii functionals (LKFs) to analyze system stability.
• Applying effective inequalities to handle time-varying delays, including uniform and nonuniform cases.

Main Results:

• The proposed event-triggered control significantly reduces data transmission.
• The adaptive laws ensure system stability despite time-varying delays.
• The method effectively handles both uniform and nonuniform input delays.

Conclusions:

• The developed event-triggered adaptive containment control is effective for MASs with time-varying delays.
• This approach offers a practical solution for reducing communication overhead in distributed systems.
• The theoretical results are validated through simulation examples.