Model-reference sliding mode control for systems with hysteresis

Hysteresis exists widely in physical systems. Because of its non-differentiable nonlinearity, its models usually are complex, and cannot be combined in control design well. In this paper, a general model convenient for control design is presented, which consists of two parts-certain linear part and uncertain nonlinear part. On the basis of the general model, model-reference (MR) sliding mode control (SMC) architecture is proposed. Simulation shows that the general model and control scheme are effective.