Abstract
In this paper, new system identification methods for flexible structures described by fractional differential equations are proposed. Several high-rise buildings have been controlled to reduce the vibration due to winds and earthquakes. In order to control the vibration of such structures, viscoelastic dampers have been installed. Fractional differential equations systems are suitable to make precise dynamical model of the structures with the viscoelastic dampers. There are some difficulties to have a suitable model. Here, we propose the identification methods for the fractional differential equations systems by using FIR-type filter and ARMA-type filter.
