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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Format: | Article |
Language: | English |
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Wiley
2021-01-01
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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 |