Numerical Models for the Simulation of the Fractional-Order Control Systems

TL;DR

This paper develops and compares numerical models for fractional-order control systems with traditional analytical models, highlighting their dynamic behaviors and identifying open research questions.

Contribution

It introduces numerical models for fractional-order systems and compares their dynamics with integer-order approximations, advancing simulation techniques in control systems.

Findings

Numerical models closely match analytical models in dynamic behavior.

Integer-order controllers can approximate fractional-order systems effectively.

Open questions remain in the modeling and control of fractional-order systems.

Abstract

This contribution deals with the creation of numerical models for the simulation of the dynamic characteristics of fractional-order control systems and their comparison with analytical models. We give the results of the comparison of dynamic properties in fractional- and integer-order systems with a controller, designed for an integer-order system as the best approximation to given fractional-order system. Other open questions are pointed out, which should be answered in this area of research.