Stabilization of a Fractional-Order Chaotic System Based on Fully Actuated System Approach

In this paper, the fully actuated system (FAS) approach is extended to achieve the stabilization of a fractional-order unified chaotic system. First, the original system model is transformed into an equivalent form using the Caputo fractional sequential derivative. Then, within the framework of the FAS approach, control inputs are formulated to guarantee global stability of the closed-loop system. Meanwhile, the dynamic behavior of the original system model can be easily understood through the transformed model. Finally, simulation results are provided to validate the stabilization performance of the proposed control method.