On the hysteretic Bouc-Wen model - Part II: Robust parametric identification

摘要

This paper deals with the problem of identifying the parameters of the hysteretic Bouc-Wen model. In the existing literature, the methods devoted to this problem rely mainly on numerical simulations and do not have, to a very large extent, a rigorous mathematical justification. Our method consists in exciting the hysteretic system with a periodic input and obtain the desired parameters from the resulting limit cycle. The identification method that we propose has a rigorous mathematical basis as it based on the analytic description of the limit cycle, and, unlike existing identification methods for the Bouc-Wen model, gives guaranteed relative errors between the (unknown) exact model parameters and their corresponding estimates. We also prove that this method is robust with respect to constant and T-periodic disturbances commonly present in any laboratory experiment. A numerical simulation example illustrates the use of our identification method.