A Parameter Identification Method for Nonlinear Dynamic Systems Based on the Discrete Variational Principle

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Journal of Vibration and Shock ›› 2009, Vol. 28 ›› Issue (2) : 117-120,.

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A Parameter Identification Method for Nonlinear Dynamic Systems Based on the Discrete Variational Principle

Liu Zhengshan,Wu Zhigang

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Abstract

This paper presents a parameter identification method for nonlinear dynamic systems. Firstly, the derivative of the unknown parameters is introduced into the output error cost function of the system. Then, difference equations for the unknown parameters are deduced by using of the discrete variational principle, and solved simultaneously with state equation of the nonlinear system. Lastly, the to-be-identified parameters are guided from given initial conditions to their true numerical values with an iterative procedure. In addition, simulations for parameter identification of linear and nonlinear vibration systems are also presented to verify the proposed algorithm. Numerical results show that the parameter identification method is effective.

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parameter identification / discrete variational principle / nonlinear dynamic system / difference equation

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Liu Zhengshan;Wu Zhigang. A Parameter Identification Method for Nonlinear Dynamic Systems Based on the Discrete Variational Principle[J]. Journal of Vibration and Shock, 2009, 28(2): 117-120,