Synchronization of Chaotic Systems with Dead Zones via Fuzzy Adaptive Variable-Structure Control

This work is devoted to solving synchronization problem of uncertain chaotic systems with dead zones. Based on the Lyapunov stability theorems, by using fuzzy inference to estimate system uncertainties and by designing effective fuzzy adaptive controllers, the synchronization between two chaotic sys...

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Main Authors: Yongbing Huangfu, Kaijuan Xue
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2021/3224416
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author Yongbing Huangfu
Kaijuan Xue
author_facet Yongbing Huangfu
Kaijuan Xue
author_sort Yongbing Huangfu
collection DOAJ
description This work is devoted to solving synchronization problem of uncertain chaotic systems with dead zones. Based on the Lyapunov stability theorems, by using fuzzy inference to estimate system uncertainties and by designing effective fuzzy adaptive controllers, the synchronization between two chaotic systems with dead zones is realized and a fuzzy variable-structure control is implemented. The stability is proven strictly, and all the states and signals are bounded in the closed-loop system. A simulation example is presented to test the theoretical results finally.
format Article
id doaj-art-2ef16b0859cf4b84a83fe8029b8287a2
institution Kabale University
issn 1076-2787
1099-0526
language English
publishDate 2021-01-01
publisher Wiley
record_format Article
series Complexity
spelling doaj-art-2ef16b0859cf4b84a83fe8029b8287a22025-02-03T06:12:51ZengWileyComplexity1076-27871099-05262021-01-01202110.1155/2021/32244163224416Synchronization of Chaotic Systems with Dead Zones via Fuzzy Adaptive Variable-Structure ControlYongbing Huangfu0Kaijuan Xue1Department of Mechanical and Electronic Engineering, Shanxi Engineering Vocational College, Taiyuan 030009, ChinaDepartment of Mechanical and Electronic Engineering, Shanxi Engineering Vocational College, Taiyuan 030009, ChinaThis work is devoted to solving synchronization problem of uncertain chaotic systems with dead zones. Based on the Lyapunov stability theorems, by using fuzzy inference to estimate system uncertainties and by designing effective fuzzy adaptive controllers, the synchronization between two chaotic systems with dead zones is realized and a fuzzy variable-structure control is implemented. The stability is proven strictly, and all the states and signals are bounded in the closed-loop system. A simulation example is presented to test the theoretical results finally.http://dx.doi.org/10.1155/2021/3224416
spellingShingle Yongbing Huangfu
Kaijuan Xue
Synchronization of Chaotic Systems with Dead Zones via Fuzzy Adaptive Variable-Structure Control
Complexity
title Synchronization of Chaotic Systems with Dead Zones via Fuzzy Adaptive Variable-Structure Control
title_full Synchronization of Chaotic Systems with Dead Zones via Fuzzy Adaptive Variable-Structure Control
title_fullStr Synchronization of Chaotic Systems with Dead Zones via Fuzzy Adaptive Variable-Structure Control
title_full_unstemmed Synchronization of Chaotic Systems with Dead Zones via Fuzzy Adaptive Variable-Structure Control
title_short Synchronization of Chaotic Systems with Dead Zones via Fuzzy Adaptive Variable-Structure Control
title_sort synchronization of chaotic systems with dead zones via fuzzy adaptive variable structure control
url http://dx.doi.org/10.1155/2021/3224416
work_keys_str_mv AT yongbinghuangfu synchronizationofchaoticsystemswithdeadzonesviafuzzyadaptivevariablestructurecontrol
AT kaijuanxue synchronizationofchaoticsystemswithdeadzonesviafuzzyadaptivevariablestructurecontrol