On Recovering the Duffing System Based on a Modified Gradient Algorithm

Author

Aguilar-Ibanez, Carlos ; Sanchez, Javier ; Moctezuma, Ruben Garrido

Author_Institution

Centro de Investigacion en Computacion del IPN, Mexico

fYear

2006

fDate

Nov. 2006

Firstpage

421

Lastpage

424

Abstract

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

Keywords

Lyapunov methods; chaos; gradient methods; nonlinear differential equations; nonlinear systems; parameter estimation; Duffing oscillator; Duffing system recovery; Lyapunov stability; estimation error; gradient algorithm; mechanical oscillator; Automatic control; Biological system modeling; Chaos; Convergence; Delay effects; Estimation error; Lyapunov method; Mechanical variables measurement; Oscillators; Time measurement; Chaos; Mechanical Oscillator; Reconstruction and Observers;

fLanguage

English

Publisher

ieee

Conference_Titel

Computing, 2006. CIC '06. 15th International Conference on

Conference_Location

Mexico City

Print_ISBN

0-7695-2708-6

Type

conf

DOI

10.1109/CIC.2006.50

Filename

4023842