Robust control for fractional variable-order chaotic systems with non-singular kernel
| Autor: | H. M. Romero-Ugalde, C. J. Zúñiga-Aguilar, José Francisco Gómez-Aguilar, Ricardo Fabricio Escobar-Jiménez |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Chaotic
Complex system General Physics and Astronomy 02 engineering and technology Derivative 01 natural sciences Stability (probability) 010305 fluids & plasmas Kernel (statistics) 0103 physical sciences Attractor 0202 electrical engineering electronic engineering information engineering Applied mathematics 020201 artificial intelligence & image processing Robust control Mathematics Variable (mathematics) |
| Zdroj: | The European Physical Journal Plus. 133 |
| ISSN: | 2190-5444 |
| DOI: | 10.1140/epjp/i2018-11853-y |
| Popis: | 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
Full text from SpringerLink