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

Abstract:

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 PI^λD^δ 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.

• Periodical: Solid State Phenomena (Volume 208)
• Pages: 167-176
• DOI: https://doi.org/10.4028/www.scientific.net/SSP.208.167
• Online since: September 2013
• Authors: Wojciech Lepiarz
• Keywords: Fractional Brownian Motion, Fractional Calculus, Fractional-Order Controller, Fractional-Order Models, PID, Robust Control

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