Bouc-Wen Hysteretic System

Hysteresis is a dynamic nonlinearity commonly encountered in very diverse engineering and science disciplines, ranging from solid mechanics, electromagnetism and aerodynamics to biology, ecology and psychology. In particular, the Bouc-Wen model has been intensively exploited during the last decades to represent hysteretic effects in mechanical engineering, especially in the case of random vibrations.

It is proposed as a benchmark problem to identify a Bouc-Wen system based on synthetic input-output data. A detailed formulation of the identification problem can be found here. All the provided files and information on the Bouc-Wen system are available for download here. This zip-file contains a detailed system description with a signal generation guide and the test data sets. This benchmark requires MATLAB to run.

Previously published results on the Bouc-Wen benchmark can be found through this link.


Please refer to the Bouc-Wen benchmark as:

M. Schoukens and J.P. Noël, Three Benchmarks Addressing Open Challenges in Nonlinear System Identification, 20th World Congress of the International Federation of Automatic Control, pp.448-453, Toulouse, France, July 9-14, 2017, doi: 10.1016/j.ifacol.2017.08.071.

J.P. Noël and M. Schoukens, Hysteretic benchmark with a dynamic nonlinearity, 4TU.ResearchData, Dataset, doi: 10.4121/12967592.