Stabilization of a Class of Complex Chaotic Systems by the Dynamic Feedback Control

Stabilization of a Class of Complex Chaotic Systems by the Dynamic Feedback Control

The stabilization problem of the complex chaotic system is investigated in this paper. First, a systematic method is proposed, by which a given complex chaotic system can be transformed into its equivalent real chaotic system. Then, both simple and physical controller is designed for the correspondi...

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Main Authors: Zhi Liu, Rongwei Guo
Format: Article
Language:English
Published: Hindawi-Wiley 2020-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2020/4938149
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spelling doaj-3e5c7f18b83b488ba0a6fac02c2df5fe2020-11-25T02:51:30ZengHindawi-WileyComplexity1076-27871099-05262020-01-01202010.1155/2020/49381494938149Stabilization of a Class of Complex Chaotic Systems by the Dynamic Feedback ControlZhi Liu0Rongwei Guo1School of Information Engineering, Key Laboratory of TCM Data Cloud Service in Universities of Shandong (Shandong Management University), Shandong Management University, Jinan 250357, ChinaSchool of Mathematics and Statistics, Qilu University of Technology (Shandong Academy of Sciences), Jinan 250353, ChinaThe stabilization problem of the complex chaotic system is investigated in this paper. First, a systematic method is proposed, by which a given complex chaotic system can be transformed into its equivalent real chaotic system. Then, both simple and physical controller is designed for the corresponding real chaotic system by the dynamic feedback control method, thereby the controller for the original complex chaotic system is obtained. Especially, for some complex system, the controller is obtained by the linear feedback control method. Finally, two illustrative examples with numerical simulations are used to verify the validity and effectiveness of the theoretical results.http://dx.doi.org/10.1155/2020/4938149
collection DOAJ
language English
format Article
sources DOAJ
author Zhi Liu
Rongwei Guo
spellingShingle Zhi Liu
Rongwei Guo
Stabilization of a Class of Complex Chaotic Systems by the Dynamic Feedback Control
Complexity
author_facet Zhi Liu
Rongwei Guo
author_sort Zhi Liu
title Stabilization of a Class of Complex Chaotic Systems by the Dynamic Feedback Control
title_short Stabilization of a Class of Complex Chaotic Systems by the Dynamic Feedback Control
title_full Stabilization of a Class of Complex Chaotic Systems by the Dynamic Feedback Control
title_fullStr Stabilization of a Class of Complex Chaotic Systems by the Dynamic Feedback Control
title_full_unstemmed Stabilization of a Class of Complex Chaotic Systems by the Dynamic Feedback Control
title_sort stabilization of a class of complex chaotic systems by the dynamic feedback control
publisher Hindawi-Wiley
series Complexity
issn 1076-2787
1099-0526
publishDate 2020-01-01
description The stabilization problem of the complex chaotic system is investigated in this paper. First, a systematic method is proposed, by which a given complex chaotic system can be transformed into its equivalent real chaotic system. Then, both simple and physical controller is designed for the corresponding real chaotic system by the dynamic feedback control method, thereby the controller for the original complex chaotic system is obtained. Especially, for some complex system, the controller is obtained by the linear feedback control method. Finally, two illustrative examples with numerical simulations are used to verify the validity and effectiveness of the theoretical results.
url http://dx.doi.org/10.1155/2020/4938149
work_keys_str_mv AT zhiliu stabilizationofaclassofcomplexchaoticsystemsbythedynamicfeedbackcontrol
AT rongweiguo stabilizationofaclassofcomplexchaoticsystemsbythedynamicfeedbackcontrol
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