Finite-Time Sliding Mode Control for Fractional-Order Gyroscope Systems with Unknown Parameters and Nonlinear Inputs

This paper proposes a novel fractional-order sliding mode control technique to synchronize two fractional-order gyroscope systems. It is assumed that all parameters of both master and slave system are fully unknown in advance. Moreover, the effect of input nonlinearity is taken into account. In order to deal with those unknown parameters, some adaption laws are given. On the basis of sliding mode control (SMC) technique and finite-time theory, a robust controller is designed to synchronize two fractional-order gyroscope systems in a finite time. Finally, a simulation example is presented to verify the effectiveness and applicability of the proposed finite-time SMC scheme.