Hybrid Systems and Control With Fractional Dynamics (II): Control
For control system designers, this work provides a synergistic approach combining hybrid and fractional-order systems to enhance flexibility, though it is a review with incremental contributions.
This paper reviews fractional-order hybrid control techniques, specifically robust control of switching systems and reset control strategies, and demonstrates their effectiveness through simulations and experiments.
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.