Output tracking of uncertain fractional-order nonlinear systems via a novel fractional-order sliding mode approach |
| |
Authors: | T Binazadeh MH Shafiei |
| |
Affiliation: | School of Electrical and Electronic Engineering, Shiraz University of Technology, Modares Blvd., Shiraz, Iran |
| |
Abstract: | In this paper, a board class of uncertain fractional-order nonlinear systems is considered. A novel fractional-order sliding mode controller for output tracking of a time-varying reference signal is designed which can conquer the uncertainties and guarantees the asymptotic convergence of the system output toward the desired time-varying reference signal. For this purpose, an appropriate sliding surface is designed where maintaining the system’s states on this surface leads to asymptotic vanishing of error signal. Moreover, by tacking the fractional derivative of order α from the sliding surface, the convergence of system’s trajectories into the sliding surface in a finite time is proven. Finally, in order to verify the theoretical results, the proposed method is applied to a fractional-order gyroscope model and computer simulations show the efficiency of the proposed method in output tracking. |
| |
Keywords: | Fractional-order (FO) system FO sliding mode Finite time stability FO gyroscope |
本文献已被 ScienceDirect 等数据库收录! |
|