June 2021
Intermediate to advanced
568 pages
18h 20m
English
book
Mem-elements for Neuromorphic Circuits with Artificial Intelligence Applications
by Christos Volos, Viet-Thanh Pham
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Chapter 11: Design guidelines for physical implementation of fractional-order integrators and its application in memristive systems
Ciro Fabian Bermúdez-Márquez; Jesus Manuel Muñoz-Pacheco Faculty of Electronics Sciences, Meritorious Autonomous University of Puebla, Puebla, Mexico
Abstract
This chapter presents the design guidelines for obtaining fractional-order integrators, which are highly required for the physical implementation of fractional-order dynamical systems or PID controllers. More specifically, we propose a metric performance defined as the rate of the desired error regarding the order of the integer-order rational approximation. Based on the continued fraction expansion, we derive the integer-order transfer functions and compute ...