TY - JOUR
T1 - Synchronization and parameter estimations of an uncertain Rikitake system
AU - Aguilar-Ibañez, Carlos
AU - Martinez-Guerra, Rafael
AU - Aguilar-López, Ricardo
AU - Mata-Machuca, Juan L.
N1 - Funding Information:
This Letter was supported by the Secretaría de Investigación y Postgrado of the Instituto Politécnico Nacional (SIP-IPN) under the research grant 20100587 .
PY - 2010/8/2
Y1 - 2010/8/2
N2 - 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.
AB - 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.
KW - Chaos
KW - Parameters estimation
KW - Rikitake system
KW - Synchronization
UR - http://www.scopus.com/inward/record.url?scp=77955471537&partnerID=8YFLogxK
U2 - 10.1016/j.physleta.2010.06.056
DO - 10.1016/j.physleta.2010.06.056
M3 - Artículo
SN - 0375-9601
VL - 374
SP - 3625
EP - 3628
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
IS - 35
ER -