arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 2005.02662eess.SYcs.SY
收藏

多正弦输入信号激励下连续时间系统的一致性辨识

Consistent identification of continuous-time systems under multisine input signal excitation

Rodrigo A. González, Cristian R. Rojas, Siqi Pan, James S. Welsh

摘要:

多年来,连续时间系统的简化精化辅助变量法(SRIVC)被广泛用于辨识。在这种方法中,输入的样本间行为起着重要的作用,最近已经表明,如果考虑样本间行为的不正确假设,则SRIVC估计量是不一致的。在本文中,我们提出了一种扩展的SRIVC算法,能够处理连续时间多正弦信号,这不能通过保持重建精确内插。建议的估计是一般一致的任何输入重建通过零或一阶保持设备,我们表明,它是一般一致的连续时间多正弦输入以及。所提出的估计的统计性能进行比较,通过广泛的模拟标准SRIVC估计。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑