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The Fractional Brownian Motion Approach to Analysis of Fractional Control System with Non-Stationary Plant

In this study a fractional Brownian motion model is used to randomize integer-and fractional-order plant parameters. The analysis of these plants in systems with integer-order PID and fractional-order PIλDδ controllers is shown. The aim of the analysis is to compare robustness of both controllers. The quality of control system is measured by integral quality parameter. The fractional Brownian motion gives much flexibility in modeling non-stationary plants, the volatility and standard deviation of fractional Brownian motion can be easily adjusted.