FPGA implementation and control of chaotic systems involving the variable-order fractional operator with Mittag–Leffler law

L.F. Ávalos-Ruiz, C.J. Zúñiga-Aguilar, J.F. Gómez-Aguilar, R.F. Escobar-Jiménez and H.M. Romero-Ugalde

Chaos, Solitons & Fractals, 2018, vol. 115, issue C, 177-189

Abstract: This paper presents the simulation and control implementation on a Field Programmable Gate Array (FPGA) for a class of variable-order fractional chaotic systems by using sliding mode control strategy. Four different fractional variable-order chaotic systems via Atangana–Baleanu–Caputo fractional-order derivative were considered; Dadras, Aizawa, Thomas and 4 Wings attractors. A methodology has been developed to construct variable-order fractional chaotic systems using LabVIEW® software for its implementation in the National Instruments myRio-1900 (Xilinx FPGA Z-7010)® device. The variable-order fractional differential equations and the control law were solved using the variable-order Adams algorithm. Finally, simulation results show that FPGA provides high-speed realizations with the desired accuracy and demonstrate the effectiveness of the proposed sliding mode control.

Keywords: Fractional calculus; Variable-order fractional operators; Nonlinear systems; Chaos; LabVIEW software; FPGA implementation (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:115:y:2018:i:c:p:177-189

DOI: 10.1016/j.chaos.2018.08.021

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