In this paper a methodology to identify several points of the frequency response of a system using a single experiment is proposed. The identification is performed using the information obtained from an asymmetric relay feedback experiment. The frequency response points that are estimated correspond to the fundamental oscillation frequency induced by the asymmetric relay and its harmonics. The method is easy to implement since it only requires linear algebra operations, but relies on a proper data selection, which is largely studied, to obtain the most accurate results. The proposed method allows a Least Squares formulation, which has also been studied, and presents some benefits in terms of accuracy for certain cases. The presented results are validated experimentally using a practical identification case.

在本文中，提出了一种使用单个实验来识别系统频率响应的多个点的方法。使用从非对称继电器反馈实验获得的信息进行识别。估计的频率响应点对应于非对称继电器及其谐波引起的基本振荡频率。该方法易于实施，因为它只需要线性代数运算，但依赖于经过大量研究的适当数据选择以获得最准确的结果。所提出的方法允许最小二乘公式，该公式也已被研究，并且在某些情况下在准确性方面具有一些优势。使用实际识别案例对所呈现的结果进行了实验验证。