Adaptive Fuzzy Finite-Time Sampled-Data Control for a Class of Fractional-Order Nonlinear Systems

This article is devoted to solving an adaptive finite-time sampled-data stabilization problem for a class of fractional-order nonlinear systems (FONSs). By taking advantage of type-2 fuzzy logic systems (FLSs), the uncertainties existed in considered system are able to be approximated, and one adaptive fuzzy finite-time sampled-data stabilizer (AFFSS), which possesses switching dynamics, is developed by following backstepping approach. By the crucial effects of those switching dynamics, the “singularity phenomenon,” which is happened in taking the derivative of such AFFSS at equilibrium state can be efficiently avoided. In addition, when such stabilizer with allowable design scalars and sampling period is imposed on the considered FONS, the closed-loop system under consideration can reach practically finite-time stable, it can be verified with the aid of the selected Lyapunov function candidate (LFC). In the end, the developed stabilization scheme is, respectively, applied for a numerical and an engineering examples to verify its effectiveness.