UPM Institutional Repository

Synchronization of two different fractional order chaotic systems with unknown parameters using a robust adaptive nonlinear controller


Citation

Maheri, Mahmoud and Md. Arifin, Norihan (2016) Synchronization of two different fractional order chaotic systems with unknown parameters using a robust adaptive nonlinear controller. Nonlinear Dynamics, 85 (2). pp. 825-838. ISSN 0924-090X; ESSN: 1573-269X

Abstract

In this paper, a robust adaptive nonlinear feedback controller scheme is proposed to realize the synchronization between two different fractional-order chaotic systems with fully unknown parameters, external disturbance and uncertainties. Bounds of the uncertainties and external disturbance assumed to be unknown. A new theorem is presented to satisfy Lyapunov stability condition in fractional-order systems when their parameters are fully unknown with external disturbance and uncertainties. Numerical simulations are applied using MATLAB software to show the effectiveness of the proposed schemes.


Download File

[img]
Preview
Text
Synchronization of two different fractional order chaotic systems .pdf

Download (5kB) | Preview

Additional Metadata

Item Type: Article
Subject: Synchronization; Adaptive; Chaos; Fractional; Control; Stability; Lyapunov
Divisions: Institute for Mathematical Research
DOI Number: https://doi.org/10.1007/s11071-016-2726-0
Publisher: Springer Verlag
Depositing User: Nurul Ainie Mokhtar
Date Deposited: 22 Feb 2018 04:21
Last Modified: 22 Feb 2018 04:21
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1007/s11071-016-2726-0
URI: http://psasir.upm.edu.my/id/eprint/53952
Statistic Details: View Download Statistic

Actions (login required)

View Item View Item