Sampled-Data Stabilization for a Class of Fractional-Order Switched Nonlinear Systems

This article studies sampled-data stabilization for a class of fractional-order switched nonlinear systems (FOSNSs) with arbitrary switching. The feasibility of using a fuzzy-logic system (FLS) to approximate the fractional-order systems (FOSs) is proved. Using backstepping method, the fractional-order adaptive update laws and sampled-data controller for the discussed FOSNSs are designed based on the FLS. Under the proposed sampled-data control scheme, it is proved that solutions of the studied FOSNSs are semi-globally uniformly ultimately bounded (SGUUB). Two examples are given to verify the effectiveness of the proposed sampled-data control scheme.