Frequency response based identification of fractional order dynamical systems

In the paper a comparison of different optimization methods to identification of fractional order dynamical systems is presented. The fractional models of the examples of physical systems — ultracapacitors — are established. Then different real frequency responses data from a laboratory setup of the processes are collected and the comparison of identification methods based on Least Squares and Total Least Squares are presented. The accuracy of the methods is discussed using the frequency responses of the identified model and the theoretical one.