The damping iterative parameter identification method for dynamical systems based on the sine signal measurement

The sine signal is used widely in the signal processing, communication, system analysis and system identification. This paper proposes a damping parameter estimation algorithm for dynamical systems based on the sine frequency response. The measured data are collected by taking the sine signals as the input. Analyzing the system's output sine response function, we can construct a nonlinear objective function. By using the nonlinear optimization techniques, we propose an iterative algorithm to estimate the system parameters. In order to overcome the singular or ill-conditioned matrix during the iterative process, we introduce a damping factor in the proposed iterative algorithm. At the same time the gradient iterative parameter estimation algorithm and the Gauss-Newton iterative parameter estimation algorithm are derived for comparing the performance of the presented methods. Moreover, the simulation results given by an example indicate that the proposed method works well.