Numerical Analysis of the Discrete, Fractional Order PID Controller Using FOBD Approximation
Year: 2024
Type: article
Abstract: This paper proposes a methodology of the numerical testing of the discrete, approximated Fractional Order PID Controller (FOPID). The fractional parts of the controller are approximated using the Fractional Order Backward Difference (FOBD) operator. The goal of the analysis is to find the memory length optimum from point of view both accuracy and duration of computations. To do it new cost functions describing both accuracy and numerical complexity were proposed and applied. Results of tests indicate that the optimum memory length lies between 200 and 400. The proposed approach can be also useful to examine of another discrete implementations of a fractional order operator using FOBD.
Source: Pomiary, Automatyka, Robotyka
DOI: 10.14313/par_253/117
Author: Krzysztof Oprzędkiewicz
Institution: AGH University of Krakow
Language: English
Subfield: Control and Systems Engineering
Field: Engineering
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4402740406