FPGA implementation and control of chaotic systems involving the variable-order fractional operator with Mittag–Leffler law
| Autor: | H. M. Romero-Ugalde, Ricardo Fabricio Escobar-Jiménez, L.F. Ávalos-Ruiz, C. J. Zúñiga-Aguilar, José Francisco Gómez-Aguilar |
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| Rok vydání: | 2018 |
| Předmět: |
Computer science
business.industry General Mathematics Applied Mathematics General Physics and Astronomy Statistical and Nonlinear Physics Construct (python library) 01 natural sciences Sliding mode control 010305 fluids & plasmas Fractional calculus Computer Science::Hardware Architecture Nonlinear system Software Law 0103 physical sciences Attractor business Field-programmable gate array 010301 acoustics Variable (mathematics) |
| Zdroj: | Chaos, Solitons & Fractals. 115:177-189 |
| ISSN: | 0960-0779 |
| DOI: | 10.1016/j.chaos.2018.08.021 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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