Fractional-order memristive systems

Authors:
Ivo Petráš;YangQuan Chen;Calvin Coopmans
Affiliations:
Institute of Control and Informatization of Production Processes, BERG Faculty, Technical University of Košice, Košice, Slovak Republic;Center for Self-Organizing and Intelligent Systems, Electrical and Computer Engineering Department, Utah State University, Logan, UT;Center for Self-Organizing and Intelligent Systems, Electrical and Computer Engineering Department, Utah State University, Logan, UT
Venue:
ETFA'09 Proceedings of the 14th IEEE international conference on Emerging technologies & factory automation
Year:
2009

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Abstract

This paper deals with the concept of (integer-order) memristive systems, which are generalized to noninteger order case using fractional calculus. We consider the memory effect of the fractional inductor (fractductor), fractional capacitor and fractional memristor. We also show that the memory effect of such devices can be also used for an analogue implementation of the fractional-order operator, namely fractional-order integral and fractional-order derivatives. This kind of operator is useful for realization of the fractional-order controllers. We present theoretical description of such implementation and we proposed the practical realization and did some simulations and experimental measurements as well.