Fractional-order Grey Circuit Simulation and Analysis

Usually, it is difficult to describe the actual system model by the determined parameters. Grey circuit model is a good way to analyze the uncertain system from the hardware aspect. Considering that the fractional-order circuit has more degrees of freedom due to its variable order, and new phenomena and rules will appear due to fractional theory, the fractional grey system equation is important for describing the fractional order grey system. Based on the grey circuit, fractional grey circuit was firstly proposed in this paper. A fractional grey RLC series circuit was given and discussed. The proposed circuit can reflect the uncertain principle in the grey system with more precise description b fractional-order calculus. The simulation analysis and experiment could assist the validation and control system analysis of related grey model and fractional grey model theory.