Adaptive neural network backstepping control for a class of uncertain fractional-order chaotic systems with unknown backlash-like hysteresis

AIP Advances - Tập 6 Số 8 - 2016
Yimin A. Wu1,2, Hui Lv3,4
12Department of Applied Mathematics, Huainan Normal University, Huainan 232038, China
2Suzhou University 1 School of Mathematics and Statistics, , Suzhou 234000, China
31School of Mathematics and Statistics, Suzhou University, Suzhou 234000, China
4Huainan Normal University 2 Department of Applied Mathematics, , Huainan 232038, China

Tóm tắt

In this paper, we consider the control problem of a class of uncertain fractional-order chaotic systems preceded by unknown backlash-like hysteresis nonlinearities based on backstepping control algorithm. We model the hysteresis by using a differential equation. Based on the fractional Lyapunov stability criterion and the backstepping algorithm procedures, an adaptive neural network controller is driven. No knowledge of the upper bound of the disturbance and system uncertainty is required in our controller, and the asymptotical convergence of the tracking error can be guaranteed. Finally, we give two simulation examples to confirm our theoretical results.

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Tập 6 Số 8

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