TY - JOUR
T1 - On the parameters estimation of the duffing system by systems synchronization
AU - Aguilar-Ibáñez, Carlos
AU - Hernández R., E.
AU - Suárez-CastañÓn, Miguel S.
N1 - Funding Information:
This paper was supported by the Secretaría de Investigación y Postgrado del Instituto Politécnico Nacional (SIP-IPN) under research grants 20091430 and 20091696.
PY - 2010/10
Y1 - 2010/10
N2 - In this paper, we present a Lyapunov based approach for synchronizing, identifying the unknown parameters of the Duffing Mechanical System. The strategy consists of proposing a slave system which has to follow asymptotically a selected master Duffing system. The gains of the slave system are adjusted continuously according to a convenient adaptative control law, until the measurable output error converges to zero. The convergence analysis is carried out by using Barbalat's lemma. The parameters identification method does not always rely on the chaotic behavior of the Duffing system.
AB - In this paper, we present a Lyapunov based approach for synchronizing, identifying the unknown parameters of the Duffing Mechanical System. The strategy consists of proposing a slave system which has to follow asymptotically a selected master Duffing system. The gains of the slave system are adjusted continuously according to a convenient adaptative control law, until the measurable output error converges to zero. The convergence analysis is carried out by using Barbalat's lemma. The parameters identification method does not always rely on the chaotic behavior of the Duffing system.
KW - Mechanical oscillator
KW - chaos
KW - reconstruction and observers
UR - http://www.scopus.com/inward/record.url?scp=78651547780&partnerID=8YFLogxK
U2 - 10.1142/S0218127410027696
DO - 10.1142/S0218127410027696
M3 - Artículo
SN - 0218-1274
VL - 20
SP - 3303
EP - 3309
JO - International Journal of Bifurcation and Chaos
JF - International Journal of Bifurcation and Chaos
IS - 10
ER -