Adaptive fuzzy synchronization of fractional-order chaotic (hyperchaotic) systems with input saturation and unknown parameters
type: Item
instance of: scholarly article
title: Adaptive fuzzy synchronization of fractional-order chaotic (hyperchaotic) systems with input saturation and unknown parameters
zbMATH Open document ID: 1377.93094
DOI: 10.1155/2017/6853826
author: Heng Liu
author: Ye Chen
author: Guanjun Li
author: Wei Xiang
author: Guangkui Xu
published in: Complexity
publication date: 2018-01-03T00:00:00Z
review text: Summary: We investigate the synchronization problem of fractional-order chaotic systems with input saturation and unknown external disturbance by means of adaptive fuzzy control. An adaptive controller, accompanied with fractional adaptation law, is established, fuzzy logic systems are used to approximate the unknown nonlinear functions, and the fractional Lyapunov stability is used to analyze the stability. This control method can realize the synchronization of two fractional-order chaotic or hyperchaotic systems and the synchronization error tends to zero asymptotically. Finally, we show the effectiveness of the proposed method by two simulation examples.
Mathematics Subject Classification ID: 93C42
Mathematics Subject Classification ID: 93C40
Mathematics Subject Classification ID: 34H10
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 93D05
zbMATH DE Number: 6821587
zbMATH Keywords: fractional-order chaotic systems
zbMATH Keywords: input saturation
zbMATH Keywords: external disturbance
zbMATH Keywords: adaptive fuzzy control
zbMATH Keywords: fractional Lyapunov stability
zbMATH Keywords: synchronization of two fractional-order chaotic or hyperchaotic systems
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2017/6853826
OpenAlex ID: W2765911570
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description: scientific article; zbMATH DE number 6821587