Robust control for fractional variable-order chaotic systems with non-singular kernel
| Auteurs | Zuñiga-Aguilar C.J., Gómez-Aguilar J.F., Escobar-Jiménez R.F., Romero-Ugalde H.M. |
| Year | 2018-0004 |
| Source-Title | European Physical Journal Plus |
| Affiliations | Tecnológico Nacional de México/CENIDET, Interior Internado Palmira S/N, Col. Palmira, Cuernavaca, Morelos, Mexico, CONACyT-Tecnológico Nacional de México/CENIDET, Interior Internado Palmira S/N, Col. Palmira, Cuernavaca, Morelos, Mexico, Univ. Grenoble Alpes, Grenoble, France, CEA LETI MINATEC Campus, Grenoble, France |
| Abstract | This paper investigates the chaos control for a class of variable-order fractional chaotic systems using robust control strategy. The variable-order fractional models of the non-autonomous biological system, the King Cobra chaotic system, the Halvorsen’s attractor and the Burke-Shaw system, have been derived using the fractional-order derivative with Mittag-Leffler in the Liouville-Caputo sense. The fractional differential equations and the control law were solved using the Adams-Bashforth-Moulton algorithm. To test the control stability efficiency, different statistical indicators were introduced. Finally, simulation results demonstrate the effectiveness of the proposed robust control. © 2018, Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature. |
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| ISSN | 21905444 |
| Lien vers article | Link |