Finite-Time Adaptive NN Backstepping Dynamic Surface Control for Input-Delay Fractional-Order Nonlinear Systems

This article focuses on a finite-time adaptive dynamic surface control (DSC) approach for kind of nonstrict fractional-order nonlinear systems (FONSs) with input delay. An auxiliary compensation function is presented by using the integral signal to handle delay problem. To overcome problem inherent computational complexity, filter applied virtual controller and its derivative in each step backstepping procedure. By technology neural network (NN), DSC developed, stability criteria based Lyapunov method are introduced prove convergence tracking error into small region around origin. The effectiveness scheme demonstrated two examples.