Abstract
This article presents a universal method of precise synchronization control for linear-motor-driven systems. The control method named cross-coupled second-order discrete-time fractional-order sliding mode control contains a cross-coupled control strategy to reduce the incoordination among driving linear motors. It also includes the second-order structure and fractional-order sliding mode surface to reduce the chattering phenomenon and improve the dynamic performance simultaneously, so that the precision is further enhanced. In particular, a universal definition of synchronization error is presented so that a better synchronization control performance can be achieved, especially in multidimensional systems. It is also compatible well with the contouring control, which extends the application further. Moreover, the stability of the controller is analyzed in this article. Finally, the proposed control method is conducted in simulations and experiments under various tasks, whose results have proved its effectiveness and advantages over conventional methods.
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