Journal of Advanced Mathematical Modeling

Journal of Advanced Mathematical Modeling

A Nonlinear Control Scheme for Stabilization of Fractional Order Dynamical Chaotic Systems

Document Type : Original Paper

Authors
Ahmad Haghighi 1
M P. Aghababa 2
nasim asghary 3
majid roohi 4
1 Faculty of Basic Sciences, Technical and Vocational University (TVU), Tehran, Iran
2 Faculty of Electrical and Computer Engineering, Urmia University of Technology, Urmia, Iran
3 Faculty of Basic Sciences, Islamic Azad University, Central Tehran Branch, Tehran, Iran
4 School of Economics and Statistics, Guangzhou University, Guangzhou 510006, China
10.22055/jamm.2020.26836.1622
Abstract
In this paper a nonlinear control method is designed to stabilize the fractional-order nonlinear chaotic systems (FONCS). The main feature of this control technique is swift convergence to the equilibrium point. Moreover, fractional version of Lyapunov stability theorem is utilized to prove the analytical results. Also, the ability of stabilization and robustness against system uncertainties are other characteristics of the proposed method. Numerical simulations are presented to emphasize the usefulness of the suggested approach in practice. It is worth to mention that the introduced nonlinear method can be used to control of almost all kind of uncertain chaotic fractional-order systems.
Keywords
Fractional-order system
Chaotic systems
Nonlinear control
Stabilization
Lyapunov theorem
Subjects
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Journal of Advanced Mathematical Modeling
Volume 10, Issue 1
May 2020
Pages 19-38

  • Receive Date 23 August 2018
  • Revise Date 31 August 2019
  • Accept Date 17 January 2020