On the approximation of delay elements by feedback

被引：8

作者：

Batlle, C

Miralles, A

机构：

[1] UPC, EUPVG, Dept Matemat Aplicada & Telemat, Vilanova Geltru 08800, Spain

[2] UPC, ETSETB, Dept Matemat Aplicada & Telemat, Barcelona 08034, Spain

来源：

AUTOMATICA | 2000年 / 36卷 / 05期

关键词：

time-delay; delay elements; feedback systems;

D O I：

10.1016/S0005-1098(99)00195-8

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In a recent paper (Beghi, Lepschy & Viaro (1997) IEEE Transactions on Circuits and System-I, 44, 824-828) a procedure for obtaining proper rational approximants of the transfer function of a delay was suggested. We study a generalization of the feedback problem posed in the cited paper and obtain its general solution. Explicit computations of the generalized approximants are obtained in terms of Bernoulli numbers and it is found that they correspond to iterate resummations of the approximants in (Beghi et al., 1997) before truncation. The properties and frequency performance of the new rational approximants are studied and compared to those of the original ones. (C) 2000 Elsevier Science Ltd. All rights reserved.

引用

页码：659 / 664

页数：6

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