Modeling and identification of asymmetric Bouc–Wen hysteresis for piezoelectric actuator via a novel differential evolution algorithm

Abstract

A novel modified Bouc–Wen (MBW) model is presented in this paper to describe the asymmetric hysteresis of piezoelectric actuator, and the parameter identification method is proposed based on a novel modified differential evolution (MDE) algorithm. In the MBW model, a polynomial-based non-lag component is used to realize the asymmetric hysteresis property. In the proposed MDE algorithm, a comprehensive trial vector generation strategy and the initial control parameters are investigated to balance the global and local search ability. The MDE-based parameter identification is compared with the classical differential evolution algorithm and the particle swarm optimization algorithm. The results demonstrate that the proposed MDE is superior to its competitors for identifying the asymmetric hysteresis of piezoelectric actuator.