Hybrid Systems and Control With Fractional Dynamics (II): Control

TL;DR

This paper reviews fractional-order hybrid control strategies, including robust switching control and reset control, demonstrating their effectiveness through simulations and experiments, and aims to integrate hybrid and fractional system theories for enhanced system design.

Contribution

It introduces a cohesive approach to fractional-order hybrid control, combining switching and reset control techniques, with validation through simulations and experiments.

Findings

Effective fractional-order hybrid control strategies demonstrated

Simulations and experiments confirm control effectiveness

Enhanced system flexibility through hybrid fractional control

Abstract

No mixed research of hybrid and fractional-order systems into a cohesive and multifaceted whole can be found in the literature. This paper focuses on such a synergistic approach of the theories of both branches, which is believed to give additional flexibility and help the system designer. It is part II of two companion papers and focuses on fractional-order hybrid control. Specifically, two types of such techniques are reviewed, including robust control of switching systems and different strategies of reset control. Simulations and experimental results are given to show the effectiveness of the proposed strategies. Part I will introduce the fundamentals of fractional-order hybrid systems, in particular, modelling and stability of two kinds of such systems, i.e., fractional-order switching and reset control systems.