The fractional - order controllers: Methods for their synthesis and application

TL;DR

This paper discusses the mathematical foundation, synthesis methods, and application techniques of fractional-order controllers, including a modified root locus method tailored for fractional systems.

Contribution

It introduces a modified root locus synthesis method specifically designed for fractional-order controllers and demonstrates their application in control systems.

Findings

Development of a modified root locus method for fractional controllers

Framework for applying fractional controllers to control systems

Enhanced understanding of fractional controller synthesis

Abstract

This paper deals with fractional-order controllers. We outline mathematical description of fractional controllers and methods of their synthesis and application. Synthesis method is a modified root locus method for fractional-order systems and fractional-order controllers. In the next section we describe how to apply the fractional controller on control systems.