Event-Triggered Adaptive Finite-Time Containment Control for Fractional-Order Nonlinear Multiagent Systems

Area of Science:

• Control Theory
• Nonlinear Systems
• Fractional Calculus

Background:

• Multiagent systems (MASs) are crucial for distributed tasks.
• Fractional-order systems offer enhanced modeling capabilities.
• Containment control aims to keep followers within a leader-defined region.

Purpose of the Study:

• To develop finite-time containment control for fractional-order nonlinear multiagent systems (FOMASs).
• To design an event-triggered control strategy reducing communication load.
• To remove the need for knowing the exact derivatives of leader trajectories.

Main Methods:

• Development of a novel Lyapunov stability lemma for fractional-order systems.
• Design of an event-triggered condition based on control input and containment errors.
• Formulation of a distributed adaptive containment control scheme.

Main Results:

• Finite-time convergence of followers to the leaders' convex hull is achieved.
• The proposed method relaxes the requirement for known leader derivatives.
• The event-triggered strategy balances system performance and communication resources.

Conclusions:

• The novel Lyapunov lemma enables finite-time convergence for unknown fractional-order systems.
• The developed control scheme effectively steers followers into the leader-defined convex hull.
• Simulation results validate the proposed method's effectiveness and efficiency.