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

Document Type : Original Paper


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


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.


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