A method for modelling and simulation of fractional systems
Signal Processing - Special issue: Fractional signal processing and applications
Fractional system identification for lead acid battery state of charge estimation
Signal Processing - Fractional calculus applications in signals and systems
Approximation and identification of diffusive interfaces by fractional models
Signal Processing - Fractional calculus applications in signals and systems
Parameter and differentiation order estimation in fractional models
Automatica (Journal of IFAC)
| Hi-index | 0.08 |
Heat transfer problems in homogeneous medium obey to diffusion phenomenon. In this paper, we study heat conduction through a sphere which can be modelled with the help of fractional systems. We use models based on an original fractional integrator whose order 12 acts only over a limited spectral band. Simulations of front face thermal characterization consisting in measuring the inner surface temperature of the sphere where a random heat flux is applied are carried out. These simulations allow to validate the ability of the proposed estimation algorithms not only to rebuild the inner surface temperature but also to identify with a good accuracy the heat conductivity and diffusivity. Monte-Carlo simulations are also performed in order to provide statistical properties of the thermo-physical parameter estimates.