Prescribed performance synchronization controller design of fractional-order chaotic systems: An adaptive neural network control approach

In this study, an adaptive neural network synchronization (NNS) approach, capable of guaranteeing prescribed performance (PP), is designed for non-identical fractional-order chaotic systems (FOCSs). For PP synchronization, we mean that the synchronization error converges to an arbitrary small region...

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Bibliographic Details
Main Authors: Yuan Li, Hui Lv, Dongxiu Jiao
Format: Article
Language:English
Published: AIP Publishing LLC 2017-03-01
Series:AIP Advances
Online Access:http://dx.doi.org/10.1063/1.4978393
Description
Summary:In this study, an adaptive neural network synchronization (NNS) approach, capable of guaranteeing prescribed performance (PP), is designed for non-identical fractional-order chaotic systems (FOCSs). For PP synchronization, we mean that the synchronization error converges to an arbitrary small region of the origin with convergence rate greater than some function given in advance. Neural networks are utilized to estimate unknown nonlinear functions in the closed-loop system. Based on the integer-order Lyapunov stability theorem, a fractional-order adaptive NNS controller is designed, and the PP can be guaranteed. Finally, simulation results are presented to confirm our results.
ISSN:2158-3226