AUTHOR=Lv Hui , Zhang Xiulan 

TITLE=Finite-Time Neural Network Backstepping Control of an Uncertain Fractional-Order Duffing System With Input Saturation

JOURNAL=Frontiers in Physics

VOLUME=Volume 8 - 2020

YEAR=2020

URL=https://www.frontiersin.org/journals/physics/articles/10.3389/fphy.2020.00122

DOI=10.3389/fphy.2020.00122

ISSN=2296-424X

ABSTRACT=In this paper, neural network (NN) control of fractional-order Duffing system (FODS) by suing backstepping method within finite-time in the presence of input saturation is investigated.  A fractional-order filter with order lying on the interval (1,2) is used to estimate the virtual input together with its fractional derivative, and the estimation error tends to a small region in some finite time. Fractional-order law is designed for the parameter of NN, and an adaptive NN controller is given. The proposed method drives the tracking error tending to an arbitrary small region within finite time. The simulation results verify the validity of the proposed method.