Application of a generalized dynamic hysteresis nonlinearity model to precise tracking control of smart structures

摘要

Effective use of magnetostrictive smart structures in trajectory tracking with a precision under sub-micron level is hindered owing to the highly nonlinear magnetic hysteresis of the giant magnetostrictive actuators (GMAs), especially when the mechanical loads and excitation rate varied. In this paper, a generalized dynamic Preisach operator is proposed for describing the dynamic hysteresis nonlinearity under both varying mechanical stresses and excitation rate, which features introducing the dependence of the density function on the altered factors to the classical Preisach operator by a multi-criteria decision-making evaluation framework. Accounting of application, a feedback control scheme combined with an adaptive feedforward compensator based on the proposed model is implemented to a magnetostrictive smart structure for real-time precise trajectory tracking. Experimental results verified the effectiveness of the proposed scheme.