Fractional order systems in the electrical domain - Part 2: Implementation results and uncertainties influence

Abstract

This second part follows a first part where a background study and the implementation process of fractional order systems were presented. In this part, the results of the test bench are shown. Some uncertainties, related mainly to the parametric effects, as the components tolerance, are also presented in order to study the stability and the robustness of the system toward these variations. The results show that this fractional order system behavior is almost unchanged even when introducing these variations whereas the integer order system is affected by these uncertainties. As for the robustness, the fractional order system is robust but the integer order system does not present any robustness when varying the unit gain frequency.