Limiting zero distribution of sampled systems

被引：12
作者：
Bai, EW [1 ]
Wu, YQ
机构：
[1] Univ Iowa, Dept Elect & Comp Engn, Iowa City, IA 52242 USA
[2] Univ Iowa, Dept Math, Iowa City, IA 52242 USA
来源：
AUTOMATICA | 2002年 / 38卷 / 05期
基金：
美国国家科学基金会;
关键词：
zeros; nonminimum phase systems; sampled systems;
D O I：
10.1016/S0005-1098(01)00280-1
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 this paper, we consider the sampling of a continuous time system with possibly a non-rational transfer function. Limiting zero distribution of the sampled system represented by an FIR model is derived. It is shown that the zeros of the FIR sampled system converge evenly to the unit circle or to the unit disk plus unstable roots of the reciprocal polynomials depending on assumptions. (C) 2002 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码：843 / 851
页数：9
相关论文
共 7 条
[1]   ZEROS OF SAMPLED SYSTEMS [J].
ASTROM, KJ ;
HAGANDER, P ;
STERNBY, J .
AUTOMATICA, 1984, 20 (01) :31-38
[2]   Zeros of sampled data systems represented by FIR models [J].
Bai, EW ;
Ding, Z .
AUTOMATICA, 2000, 36 (01) :121-123
[3]   On zeros of pulse transfer functions [J].
Blachuta, MJ .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1999, 44 (06) :1229-1234
[4]   Analytic study on the intrinsic zeros of sampled-data systems [J].
Hagiwara, T .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1996, 41 (02) :261-263
[5]  
Haykin S., 1994, COMMUNICATION SYSTEM
[6]  
Jury E. I., 1964, Theory and Application of the Z-Transform Method
[7]   Limiting zeros of decouplable MIMO systems [J].
Weller, SR .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1999, 44 (01) :129-134
1