Identification of parameters of a system with fractional damping
ISPRA'10 Proceedings of the 9th WSEAS international conference on Signal processing, robotics and automation
Brief paper: Analytical computation of the H2-norm of fractional commensurate transfer functions
Automatica (Journal of IFAC)
The short memory principle for solving Abel differential equation of fractional order
Computers & Mathematics with Applications
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Fractional models are becoming more and more popular because their ability of describing the behaviour of viscoelastic dampers using a small number of parameters. An important difficulty, connected with these models, is the estimation of model parameters. A family of methods for identification of the parameters of both the Kelvin-Voigt fractional model and the Maxwell fractional model are presented in this paper. Moreover, the equations of hysteresis curves are derived for fractional models. One of the methods presented used the properties of hysteresis curves. The validity and effectiveness of procedures have been tested using artificial and real experimental data.