TY - GEN
T1 - On recovering the Duffing System based on a Modified Gradient Algorithm
AU - Aguilar-Ibañez, Carlos
AU - Jorge Sanchez, H.
AU - Moctezuma, Ruben Garrido
PY - 2006
Y1 - 2006
N2 - The paper presents a strategy for recovering the unknown parameters of the Duffing oscillator using only a measurable output signal. The suggested approach employs the construction of an integral parametrization of an auxiliary output, which is calculated by measuring the difference between the output and its respective time delayed version. First, we estimate the auxiliary output followed by the application of a modified gradient algorithm, then we adjust the gains of the proposed linear estimator in order to obtain convergence of the estimation error to zero. Convergence of the proposed scheme is shown using Lyapunov stability.
AB - The paper presents a strategy for recovering the unknown parameters of the Duffing oscillator using only a measurable output signal. The suggested approach employs the construction of an integral parametrization of an auxiliary output, which is calculated by measuring the difference between the output and its respective time delayed version. First, we estimate the auxiliary output followed by the application of a modified gradient algorithm, then we adjust the gains of the proposed linear estimator in order to obtain convergence of the estimation error to zero. Convergence of the proposed scheme is shown using Lyapunov stability.
KW - Chaos
KW - Mechanical oscillator
KW - Reconstruction and observers
UR - http://www.scopus.com/inward/record.url?scp=45149110281&partnerID=8YFLogxK
U2 - 10.1109/CIC.2006.50
DO - 10.1109/CIC.2006.50
M3 - Contribución a la conferencia
AN - SCOPUS:45149110281
SN - 0769527086
SN - 9780769527086
T3 - Proceedings - 15th International Conference on Computing, CIC 2006
SP - 421
EP - 424
BT - Proceedings - 15th International Conference on Computing, CIC 2006
T2 - 15th International Conference on Computing, CIC 2006
Y2 - 21 November 2006 through 24 November 2006
ER -