Discrete-time Fractional-order Integral Based Sliding Mode Control For Piezo-Actuated System

摘要

In this paper, a new discrete-time sliding mode control (DSMC) approach is proposed based on a Rieman-Liouville (R-L) fractional-order integral (FOI) for a piezo-actuated system. An iterative discrete-time FOI is investigated by using R-L fractional definition, and a fractional-order sliding manifold based on the presented FOI is designed and the sliding manifold can fast reach the constructed stable region under bounded disturbance by the proposed discrete-time fractional-alorder sliding mode control (DFSMC) law and stay there. Also, the tracking performance is analyzed by using the DFSMC. Finally, an implementation strategy is carried out on a positioning control system based on piezoelectric actuator, and simulation and experimental results are given to verify the effectiveness of the proposed scheme.