On the Passivity of Hysteretic Systems with Double Hysteretic Loops

Materials

Francesc Pozo¹  Mauricio Zapateiro² 

[1] CoDAlab, Departament de Matemàtiques, Escola Universitària d’Enginyeria Tècnica Industrial de Barcelona (EUETIB), Universitat Politècnica de Catalunya (UPC), Comte d’Urgell, 187, 08036 Barcelona, SpainEDMA Innova, C. dels Olms 10, 17111 Vulpellac (Girona), Spain;

关键词: hysteresis;    passivity;    double-loop;    Bouc–Wen model;   

DOI  :  10.3390/ma8125465

来源: mdpi

【 摘 要 】

The Bouc–Wen hysteresis model is widely employed to mathematically represent the dynamical behavior of several physical devices, materials and systems such as magnetorheological dampers, lanthanide zirconium or aluminum oxides, mechanical structures or biomedical systems. However, these mathematical models must account for different properties such as the bounded-input bounded-output stability, asymptotic motion, thermodynamic admissibility or passivity in order to be physically consistent with the systems they represent. The passivity of a system is related to energy dissipation. More precisely, a system is passive if it does not generate energy but only dissipates it. The objective of this paper is to prove that two different double-loop Bouc–Wen models are passive under a particular set of model parameters.

【 授权许可】

CC BY   
© 2015 by the authors; licensee MDPI, Basel, Switzerland.