Piecewise Linear Identification for the Rate-Independent and Rate-Dependent Duhem Hysteresis Models

摘要

We consider the semilinear Duhem model and develop an identification method for rate-independent and rate-dependent hysteresis. For rate-independent hysteresis, we reparameterize the system in terms of the input signal, so that the system has the form of a switching linear time-invariant system with ramp-plus-step forcing. For rate-dependent hysteresis, the system can be viewed as a switching linear time-invariant system for triangle wave inputs. Least-squares-based methods are developed to identify the rate-independent and rate-dependent semilinear Duhem models