Efficient modeling of hysteretic systems

The design and optimization of complex systems implies the availability of efficient models of each single device that is part of the system. Among these, hysteretic equipments can become a bottleneck of an optimization by simulation process, due to the complexity of the models available in the technical literature: The definition of a computationally efficient model is an aspect that can play a central role in the design process. The Hammerstein model of nonlinear systems is widely adopted for its effectiveness and low computational cost. Furthermore, a very efficient method for its identification has been proposed recently, which relies a pulse compression technique approach based on exponential chirps: This identification procedure proved to be remarkably powerful in the case of non hysteretic systems. In the present paper we propose two results in the context of hysteretic systems modeling: (1) an extension of a consolidated functional model of hysteretic systems and (2) a modification of the exponential chirp based pulse compression technique in order to extend this approach to the specific case of hysteretic systems. The experimental results confirm the validity of the proposed modeling technique.