A method for modeling of the sandwich systems with hysteresis is proposed. Considering hysteresis involved in the system is a non-smooth function, the generalized gradients at non-smooth points are introduced. In order to realize the transformation of the multi-valued mapping of the sandwich system with hysteresis into a one-to-one mapping, an expanded input space is constructed. In this case, the neural networks can be applied to the approximation of the systems. Finally, experimental results on a micro-positioning stage with piezoelectric actuators are illustrated to show the validity of the proposed approach.
['Ruili Dong', 'Qingyuan Tan', 'Yonghong Tan']
Neural networks based model for sandwich system with hysteresis