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

Abstract

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.

Authors:
 [1];  [2]
  1. School of Mathematics and Statistics, Suzhou University, Suzhou 234000 (China)
  2. Department of Applied Mathematics, Huainan Normal University, Huainan 232038 (China)
Publication Date:
OSTI Identifier:
22611390
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Advances; Journal Volume: 6; Journal Issue: 8; Other Information: (c) 2016 Author(s); Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ALGORITHMS; CHAOS THEORY; CONVERGENCE; DIFFERENTIAL EQUATIONS; DISTURBANCES; HYSTERESIS; LYAPUNOV METHOD; NEURAL NETWORKS; NONLINEAR PROBLEMS; SIMULATION; STABILITY

Citation Formats

Wu, Yimin, and Lv, Hui, E-mail: lvhui207@gmail.com. Adaptive neural network backstepping control for a class of uncertain fractional-order chaotic systems with unknown backlash-like hysteresis. United States: N. p., 2016. Web. doi:10.1063/1.4960110.
Wu, Yimin, & Lv, Hui, E-mail: lvhui207@gmail.com. Adaptive neural network backstepping control for a class of uncertain fractional-order chaotic systems with unknown backlash-like hysteresis. United States. doi:10.1063/1.4960110.
Wu, Yimin, and Lv, Hui, E-mail: lvhui207@gmail.com. Mon . "Adaptive neural network backstepping control for a class of uncertain fractional-order chaotic systems with unknown backlash-like hysteresis". United States. doi:10.1063/1.4960110.
@article{osti_22611390,
title = {Adaptive neural network backstepping control for a class of uncertain fractional-order chaotic systems with unknown backlash-like hysteresis},
author = {Wu, Yimin and Lv, Hui, E-mail: lvhui207@gmail.com},
abstractNote = {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.},
doi = {10.1063/1.4960110},
journal = {AIP Advances},
number = 8,
volume = 6,
place = {United States},
year = {Mon Aug 15 00:00:00 EDT 2016},
month = {Mon Aug 15 00:00:00 EDT 2016}
}