Sufficient conditions for rate-independent hysteresis in autoregressive identified models
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Universidade Federal de Minas Gerais
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Artigo de periódico
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This paper shows how hysteresis can be described using polynomial models and what are the sufficient conditions to be met by the model in order to have hysteresis. Such conditions are related to the model equilibria, to the forcing function and to certain term clusters in the polynomial models. The main results of the paper are used in the identification and analysis of nonlinear models estimated from data produced by a magneto-rheological damper (MRD) model with Bouc–Wen rate-independent hysteresis. A striking feature of the identified model is its simplicity and this could turn out to be a key factor in controller design.
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Modelos matemáticos, Matéria condensada, Medidas elétricas
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We explain mathematically why these models produce hysteresis., A methodology based on term clustering for obtaining model structure is proposed., We show that very simple models reproduce the hysteresis produced by a Bouc–Wen model., Rate-independent hysteresis modelling, Bouc–Wen model, Magneto-rheological damper modelling, Nonlinear system identification, sufficient conditions for polynomial models to be able to reproduce rate-independent hysteresis
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https://www.sciencedirect.com/science/article/pii/S0888327015005968