Synchronization and parameter estimations of an uncertain Rikitake system

In this Letter we address the synchronization and parameter estimation of the uncertain Rikitake system, under the assumption the state is partially known. To this end we use the master/slave scheme in conjunction with the adaptive control technique. Our control approach consists of proposing a slav...

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Published inPhysics letters. A Vol. 374; no. 35; pp. 3625 - 3628
Main Authors Aguilar-Ibañez, Carlos, Martinez-Guerra, Rafael, Aguilar-López, Ricardo, Mata-Machuca, Juan L.
Format Journal Article
LanguageEnglish
Published Elsevier B.V 02.08.2010
Subjects
Asymptotic properties
Chaos
Control systems
Convergence
Gain
Parameter estimation
Parameters estimation
Rikitake system
Solid state physics
Synchronism
Synchronization
Chaos
Rikitake system
Parameters estimation
Synchronization
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Summary:In this Letter we address the synchronization and parameter estimation of the uncertain Rikitake system, under the assumption the state is partially known. To this end we use the master/slave scheme in conjunction with the adaptive control technique. Our control approach consists of proposing a slave system which has to follow asymptotically the uncertain Rikitake system, refereed as the master system. The gains of the slave system are adjusted continually according to a convenient adaptation control law, until the measurable output errors converge to zero. The convergence analysis is carried out by using the Barbalat's Lemma. Under this context, uncertainty means that although the system structure is known, only a partial knowledge of the corresponding parameter values is available.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
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content type line 23
ISSN:0375-9601
1873-2429
DOI:10.1016/j.physleta.2010.06.056