State-space analysis and identification for a class of hysteretic systems

In this paper we present results on the twin subjects of system analysis an d system identification for a class of state-space realizable dynamic syste ms under the influence of hysteresis. The class of systems in question cons ists of models in the form of a linear time-invariant dynamic system in ser ies with a differential model of hysteresis. It will be demonstrated that u nder fairly light constraints on the differential model of hysteresis, it i s possible to design a series of experiments leading towards the identifica tion of the full state-space realization. The approach is tested successful ly on a high-precision mechanical translation system affected by hysteresis . (C) 2001 Elsevier Science Ltd. All rights reserved.