Active Realization of Fractional-Order Integrators and Their Application in Multiscroll Chaotic Systems. (20th January 2021)

• Record Type: Journal Article
• Authors: Munoz-Pacheco, Jesus M.; Lujano-Hernández, Luis Carlos; Muñiz-Montero, Carlos; Akgül, Akif; Sánchez-Gaspariano, Luis A.; Li, Chun-Biao; Çaǧri Kutlu, Mustafa
• Other Names: Aguilar-Ibanez Carlos Academic Editor.
• Is Part Of: Complexity. Volume 2021(2021)
• Publication Date: 2021-01-20
• Subjects: Chaotic behavior in systems -- Periodicals; Complexity (Philosophy) -- Periodicals; 003
• DOI: 10.1155/2021/6623855
• Languages: English
• ISSNs: 1076-2787

Abstract

Abstract : This paper presents the design, simulation, and experimental verification of the fractional-order multiscroll Lü chaotic system. We base them on op-amp-based approximations of fractional-order integrators and saturated series of nonlinear functions. The integrators are first-order active realizations tuned to reduce the inaccuracy of the frequency response. By an exponential curve fitting, we got a convenient design equation for realizing fractional-order integrators of orders from 0.1 to 0.95. The results include simulations in SPICE of the mathematical description and the electronic implementation and experimental measurements that confirm them. Monte Carlo and sensitivity tests revealed a robust realization. Contrary to its passive counterparts, the suggested realizations significantly reduce design and implementation efforts by favoring resistors and capacitors with commercial values and reducing hardware requirements.