Application of the Newton iteration algorithm to the parameter estimation for dynamical systems

作者：Xu, Ling^*

来源：Journal of Computational and Applied Mathematics, 2015, 288: 33-43.

DOI：10.1016/j.cam.2015.03.057

• Parameter estimation
• Mathematical modeling
• Newton iteration
• Dynamical system

This paper uses the Newton iteration to study new identification methods for determining the parameters of dynamical systems from step responses. On the basis of the step response analysis, we present the Newton iterative algorithms. Moreover, in order to test the accuracy of the estimated parameters, the frequency and step response experiment are applied to the dynamical systems between the estimated and true models. The simulation results show that the obtained models can capture the dynamics of the systems, i.e., the estimated model's outputs are close to the outputs of the actual systems. This confirms the effectiveness of the proposed Newton iterative identification methods.

• 出版日期2015-11
• 单位江南大学