Parametric estimation of the Duffing system by using a modified gradient algorithm |
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Authors: | Carlos Aguilar-Ibá ñ ez,Jorge Sanchez Herrera |
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Affiliation: | a CIC-IPN, Av. Juan de Dios Bátiz s/n Esq. Manuel Othón de M. Unidad Profesional Adolfo López Mateos, Col. San Pedro Zacatenco, A.P. 75476, México, D.F. 07700, Mexico b CINVESTAV-IPN, Departamento de Control Automático, Av. IPN 2508, A.P. 14740, México, D.F. 07360, Mexico |
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Abstract: | The Letter presents a strategy for recovering the unknown parameters of the Duffing oscillator using a measurable output signal. The suggested approach employs the construction of an integral parametrization of one auxiliary output. It is calculated by measuring the difference between the output and its respective delay output. 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, until this error converges to zero. The convergence of the proposed scheme is shown using Lyapunov method. |
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Keywords: | Mechanical oscillator Chaos Reconstruction and observers |
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