Design and Study of Fractional Order Circuits and Systems

Abstract

The use of fractional calculus in electronic design has revolutionized the way systems and circuits are built. It provides a more accurate representation of complex dynamic systems than traditional integer-order methods. This paper presents a detailed analysis of the fundamental concepts of fractional calculus, including its mathematical properties. This paper reviews the key types of fractional order components, such as amplifiers, filters, and controllers. They are examined in terms of their practical implementations, design methodologies, and simulation techniques. For instance, the frequency response of a fractional order filter is precisely controlled, while the stability of a fractional order oscillator is enhanced. On the other hand, the high bandwidth and linearity of a fractional order amplifier can be enhanced using PID controllers.