Novel closed-loop controllers for fractional linear quadratic tracking systems

TL;DR

This paper introduces a new method for designing optimal closed-loop controllers for fractional-order linear quadratic tracking systems, providing a systematic way to achieve optimal control in such systems.

Contribution

The paper presents a novel approach to solve fractional quadratic optimal control problems and derives the associated optimality conditions.

Findings

Method successfully applied to illustrative examples

Demonstrates effectiveness in fractional control systems

Provides a framework for future research in fractional optimal control

Abstract

Anew method for finding closed-loop optimal controllers of fractional tracking quadratic optimal control problems is introduced. The optimality conditions for the fractional optimal control problem are obtained. Illustrative examples are presented to show the applicability and capabilities of the method.