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

机译:基于正弦信号测量的动力系统阻尼迭代参数辨识方法

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摘要

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.
机译:正弦信号广泛用于信号处理,通信,系统分析和系统识别。提出了一种基于正弦频率响应的动力系统阻尼参数估计算法。通过将正弦信号作为输入来收集测量数据。分析系统的输出正弦响应函数,我们可以构造一个非线性目标函数。通过使用非线性优化技术,我们提出了一种迭代算法来估计系统参数。为了在迭代过程中克服奇异或病态矩阵,我们在所提出的迭代算法中引入了阻尼因子。同时推导了梯度迭代参数估计算法和高斯-牛顿迭代参数估计算法,以比较所提方法的性能。此外,通过实例给出的仿真结果表明,该方法效果良好。

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