APPLICATIONS OF FRACTIONAL ORDER ELEMENTS AND MEM-ELEMENTS IN ELECTRONIC CIRCUITS

Abstract

This work aims to apply the fractional-order elements and mem-elements in analog circuit design. A general ‎prototype fractional-order filter based on a two-port network concept with four external impedances is ‎investigated. Ten possible generalized topologies are introduced where the necessary network conditions and ‎the critical frequencies are presented. Besides, a generalized prototype topology of fractional order inverse ‎filters (FOIF) is presented based on operational trans-resistance amplifiers and second-generation ‎current conveyor. The fractional-order parameters increase design flexibility and controllability, which is ‎validated experimentally. The fractional-order systems are extended to memristive element modeling. The ‎realization of grounded and floating fractional-order mem-elements (FOMEs) using the generalized emulator. ‎Two- and three-port mutators are used to realize different FOMEs employing different combinations of impedances. The FOMEs are applied to Chau's circuit showing the effect of fractional-order on the chaotic behavior. Circuit ‎simulations and experimental results for the presented circuits are introduced to validate the theoretical ‎findings.