Fixed-Time Leader-Follower Consensus of Networked Nonlinear Systems via Event/Self-Triggered Control

Area of Science:

• Control Systems Engineering
• Networked Multi-Agent Systems
• Nonlinear Dynamics

Background:

• Networked multi-agent systems require coordinated behavior for various applications.
• Achieving consensus in fixed-time is crucial for timely task completion.
• Existing methods for event/self-triggered consensus have limitations with nonlinear dynamics and Zeno behavior.

Purpose of the Study:

• To develop novel event-triggered and self-triggered control strategies for fixed-time leader-follower consensus.
• To address challenges posed by nonlinear dynamics in multi-agent systems.
• To ensure the exclusion of Zeno behavior in triggered control systems.

Main Methods:

• Design of an event-triggered control strategy with a novel measurement error to prevent Zeno behavior.
• Development of two new self-triggered control strategies to eliminate continuous monitoring.
• Analysis of strictly positive minimal triggering intervals for self-triggered strategies.
• Generalization of nonlinear terms compared to existing fixed-time event-triggered consensus methods.

Main Results:

• Successful achievement of fixed-time leader-follower consensus using the proposed event-triggered strategy.
• Demonstration of effective self-triggered control strategies that avoid Zeno behavior.
• Validation of the enhanced capability to handle more general nonlinear dynamics.
• Simulation results confirm the performance of the consensus tracking algorithms.

Conclusions:

• The proposed event-triggered and self-triggered control strategies effectively achieve fixed-time consensus in networked multi-agent systems.
• The new strategies offer improved performance and broader applicability, especially with complex nonlinear dynamics.
• The exclusion of Zeno behavior is rigorously addressed, enhancing the practical viability of the control systems.