Asynchronous Periodic Edge-Event Triggered Control for Double-Integrator Networks With Communication Time Delays

Area of Science:

• Control Systems Engineering
• Networked Systems Theory
• Distributed Computing

Background:

• Networked systems require coordinated behavior for optimal performance.
• Communication delays and asynchronous updates pose significant challenges in achieving consensus.
• Event-triggered control strategies aim to reduce communication and computational load.

Purpose of the Study:

• To investigate average consensus in double-integrator networked systems under asynchronous periodic edge-event triggered control.
• To analyze the impact of communication time delays on achieving average consensus.
• To develop control protocols that minimize communication and controller-updating costs.

Main Methods:

• Utilizing asynchronous periodic edge-event triggered control mechanisms.
• Employing an incidence matrix for agent-based to edge-based control transformation.
• Analyzing systems with and without communication time delays.
• Designing appropriate parameters for event-detecting rules.

Main Results:

• Average consensus is achievable asynchronously in double-integrator systems, even with time delays.
• Established relationships between maximum allowable time delays, interaction topologies, and event-detecting periods.
• Demonstrated reduced communication and controller-updating costs through proposed protocols.

Conclusions:

• The proposed asynchronous event-triggered control effectively achieves average consensus in networked systems.
• The findings provide insights into managing time delays and optimizing control strategies in distributed systems.
• The developed protocols offer practical advantages in terms of communication and computational efficiency.