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In this paper, an identification method for dynamic hysteresis based on Duhem model is proposed. In this method, the functions involved in the Duhem model is approximated by polynomials based on the well-known Weierstrass theorem. Then, the general solutions to approximate the functions in the model are derived. The recursive least squares method is implemented to estimate the coefficients of the...
A method for modeling of the linear dynamic systems with input hysteresis is proposed. Considering hysteresis involved in the system is a non-smooth and multi-valued nonlinearity, the generalized gradient of the output with respect to the input of the nonlinear system is introduced to extract the movement tendency of the system. Then, the generalized gradient is included into the expanded input space,...
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