التفاصيل البيبلوغرافية
| العنوان: |
Fractional-Order sliding mode control of a 4D memristive chaotic system. |
| المؤلفون: |
Gokyildirim, Abdullah, Calgan, Haris, Demirtas, Metin |
| المصدر: |
Journal of Vibration & Control; Apr2024, Vol. 30 Issue 7/8, p1604-1620, 17p |
| مصطلحات موضوعية: |
CHAOS theory, SLIDING mode control, NONLINEAR systems, LYAPUNOV exponents, BIFURCATION diagrams, QUANTUM chaos, TIME series analysis |
| مستخلص: |
Chaotic systems depict complex dynamics, thanks to their nonlinear behaviors. With recent studies on fractional-order nonlinear systems, it is deduced that fractional-order analysis of a chaotic system enriches its dynamic behavior. Therefore, the investigation of the chaotic behavior of a 4D memristive Chen system is aimed in this study by taking the order of the system as fractional. The nonlinear behavior of the system is observed numerically by comparing the fractional-order bifurcation diagrams and Lyapunov Exponents Spectra with 2D phase portraits. Based on these analyses, two different fractional orders (i.e., q = 0.948 and q = 0.97) are determined where the 4D memristive system shows chaotic behavior. Furthermore, a single state fractional-order sliding mode controller (FOSMC) is designed to maintain the states of the fractional-order memristive chaotic system on the equilibrium points. Then, control method results are obtained by both numerical simulations and different illustrative experiments of microcontroller-based realization. As expected, voltage outputs of the microcontroller-based realization are in good agreement with the time series of numerical simulations. [ABSTRACT FROM AUTHOR] |
|
Copyright of Journal of Vibration & Control is the property of Sage Publications, Ltd. and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) |
| قاعدة البيانات: |
Complementary Index |
Full Text Finder