论文标题
在多键输入信号激发下对连续时间系统的一致识别
Consistent identification of continuous-time systems under multisine input signal excitation
论文作者
论文摘要
多年来，连续时间系统（SRIVC）的简化精制仪器变量方法已被广泛用于识别。输入的样本间行为在该方法中起重要作用，并且最近表明，如果考虑了对样本间行为的错误假设，则SRIVC估计器不一致。在本文中，我们提出了SRIVC算法的扩展，该算法能够处理连续的多次信号，该信号无法通过持有重建来准确地插值。对于通过零或一阶设备重建的任何输入，提出的估计器通常是一致的，并且我们表明，对于连续的时间多次输入，它通常是一致的。通过广泛的模拟将提出的估计器的统计性能与标准SRIVC估计器进行比较。
For many years, the Simplified Refined Instrumental Variable method for Continuous-time systems (SRIVC) has been widely used for identification. The intersample behaviour of the input plays an important role in this method, and it has been shown recently that the SRIVC estimator is not consistent if an incorrect assumption on the intersample behaviour is considered. In this paper, we present an extension of the SRIVC algorithm that is able to deal with continuous-time multisine signals, which cannot be interpolated exactly through hold reconstructions. The proposed estimator is generically consistent for any input reconstructed through zero or first-order-hold devices, and we show that it is generically consistent for continuous-time multisine inputs as well. The statistical performance of the proposed estimator is compared to the standard SRIVC estimator through extensive simulations.
