Journal
ADVANCES IN DIFFERENCE EQUATIONS
Volume -, Issue -, Pages -Publisher
SPRINGER
DOI: 10.1186/s13662-019-2099-z
Keywords
Neural network; Chaos control; Fractional-order chaotic system; Backstepping
Categories
Funding
- National Natural Science Foundation of China [11701320]
- Natural Science Foundation of Anhui Province of China [1808085MF181]
- Natural Science Foundation for the Higher Education Institutions of Anhui Province of China [KJ2018A0470]
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In this paper, the control of uncertain fractional-order Chua-Hartley (FOCH) chaotic systems by means of adaptive neural network backstepping control is considered. Neural network is utilized as a universal approximator to estimate the unknown nonlinear function. By using the fractional Lyapunov stability criterion and the backstepping technique, an adaptive neural network control (ANNC) method is implemented. In each backstepping step, the unknown nonlinear functions are approximated by neural networks, and a virtual control input is designed. The proposed method guarantees that all the closed-loop signals keep bounded and tracking error converges to an arbitrary small region of zero. Finally, numerical simulation is given to confirm the effectiveness and the good control performance of the proposed method.
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