Fractional order calculus in control theory

Abstract

The main aim of this contribution is to introduce the fundamentals of the Fractional Order Calculus (FOC) and outline its possible application to analysis and synthesis of control systems. The basic theoretical concepts of FOC are followed by techniques for potential fractional order systems description and stability investigation. Moreover, the paper offers the overview of the existing fractional order controllers and highlights the benefits of the fractional approach in comparison with the classical integer one.