Step convergence analysis of nonlinear feedback hysteresis models

In this paper we consider nonlinear feedback hysteresis models. Since hysteresis is defined as a nontrivial input-output map under quasi-DC inputs, the relationship between step convergence and the hysteresis map of the model is investigated. The class of models that exhibit hysteresis is determined and the shape of the hysteresis map is characterized. We focus on the deadzone nonlinearity, which has implications for backlash modeling. Numerical examples are presented to verify the analysis.