This paper presents a new approach to tackling one of the intricate challenges of consensus control in distributed systems, specifically targeting the stabilization of fractional-order outputs in linear fractional-order multi-agent systems. We introduce an innovative distributed feedback control strategy that leverages dynamic output feedback to stabilize the closed-loop system. By refining the H2robust control method, the controller and observer gains are precisely determined through an eigenvalue-based optimization process. The effectiveness and robustness of the proposed methodology are validated through simulations, with graphical results illustrating enhanced system performance and stability.

The consensus problem among agents has long intrigued researchers in the field of coordination control. This study investigates a nonlinear fractional-order system with 0 < α < 1. A controller based on distributed observers is designed to assist agents in achieving consensus within a multi-agent nonlinear fractional-order system. The primary strategy for addressing the nonlinear term involves feedback linearization. The controller is developed with a stability proof, and the resulting observer-based controller is applied to an example of a nonlinear fractional-order multi-agent system. Additionally, a nonlinear example is solved analytically in this context. The estimation error is thoroughly analyzed, demonstrating notable convergence to zero based on the Lyapunov stability synthesis.