Generalized synchronization of nonlinear chaotic systems through natural bioinspired controlling strategy

Li, SY; Chen, SA; Lin, CT; Ko, LW; Yang, CH; Chen, HH

Generalized synchronization of nonlinear chaotic systems through natural bioinspired controlling strategy

Li, SY Chen, SA Lin, CT Ko, LW Yang, CH Chen, HH

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Publisher:: Hindawi Limited
Publication Type:: Journal Article
Citation:: Abstract and Applied Analysis, 2015, 2015, pp. 1-14
Issue Date:: 2015-01-01

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Field	Value	Language
dc.contributor.author	Li, SY
dc.contributor.author	Chen, SA
dc.contributor.author	Lin, CT
dc.contributor.author	Ko, LW
dc.contributor.author	Yang, CH
dc.contributor.author	Chen, HH
dc.date.accessioned	2021-04-21T05:55:43Z
dc.date.available	2021-04-21T05:55:43Z
dc.date.issued	2015-01-01
dc.identifier.citation	Abstract and Applied Analysis, 2015, 2015, pp. 1-14
dc.identifier.issn	1085-3375
dc.identifier.issn	1687-0409
dc.identifier.uri	http://hdl.handle.net/10453/148241
dc.description.abstract	A novel bioinspired control strategy design is proposed for generalized synchronization of nonlinear chaotic systems, combining the bioinspired stability theory, fuzzy modeling, and a novel, simple-form Lyapunov control function design of derived high efficient, heuristic and bioinspired controllers. Three main contributions are concluded: (1) apply the bioinspired stability theory to further analyze the stability of fuzzy error systems; the high performance of controllers has been shown in previous study by Li and Ge 2009, (2) a new Lyapunov control function based on bioinspired stability theory is designed to achieve synchronization without using traditional LMI method, which is a simple linear homogeneous function of states and the process of designing controller to synchronize two fuzzy chaotic systems becomes much simpler, and (3) three different situations of synchronization are proposed; classical master and slave Lorenz systems, slave Chen's system, and Rossler's system as functional system are illustrated to further show the effectiveness and feasibility of our novel strategy. The simulation results show that our novel control strategy can be applied to different and complicated control situations with high effectiveness.
dc.language	en
dc.publisher	Hindawi Limited
dc.relation.ispartof	Abstract and Applied Analysis
dc.relation.isbasedon	10.1155/2015/725674
dc.rights	info:eu-repo/semantics/openAccess
dc.subject	0101 Pure Mathematics
dc.subject.classification	Applied Mathematics
dc.title	Generalized synchronization of nonlinear chaotic systems through natural bioinspired controlling strategy
dc.type	Journal Article
utslib.citation.volume	2015
utslib.for	0101 Pure Mathematics
utslib.for	0101 Pure Mathematics
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology
pubs.organisational-group	/University of Technology Sydney/Strength - AAII - Australian Artificial Intelligence Institute
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology/School of Computer Science
utslib.copyright.status	open_access	*
dc.date.updated	2021-04-21T05:55:33Z
pubs.publication-status	Published
pubs.volume	2015

Abstract:

A novel bioinspired control strategy design is proposed for generalized synchronization of nonlinear chaotic systems, combining the bioinspired stability theory, fuzzy modeling, and a novel, simple-form Lyapunov control function design of derived high efficient, heuristic and bioinspired controllers. Three main contributions are concluded: (1) apply the bioinspired stability theory to further analyze the stability of fuzzy error systems; the high performance of controllers has been shown in previous study by Li and Ge 2009, (2) a new Lyapunov control function based on bioinspired stability theory is designed to achieve synchronization without using traditional LMI method, which is a simple linear homogeneous function of states and the process of designing controller to synchronize two fuzzy chaotic systems becomes much simpler, and (3) three different situations of synchronization are proposed; classical master and slave Lorenz systems, slave Chen's system, and Rossler's system as functional system are illustrated to further show the effectiveness and feasibility of our novel strategy. The simulation results show that our novel control strategy can be applied to different and complicated control situations with high effectiveness.

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http://hdl.handle.net/10453/148241