Minimum-phase criteria for sampled systems via symbolic approach

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

In this paper, we propose a symbolic approach to determine the sampling-time range which guarantees minimum-phase behaviours for a sampled system with a zero-order hold. By using Maple, a symbolic manipulation package, the symbolic transfer function of the sampled system, which contains sampling time T as an independent variable, can be easily obtained. We then adopt the critical stability constraints to determine the sampling-time range which ensures that the sampled system has only stable zeros. In comparison with existing methods, the proposed approach in this note has less restrictions on the continuous plant and is very easy to implement in any symbolic manipulation package. Several examples are illustrated to show the effectiveness of this approach.

Original languageEnglish
Pages (from-to)767-775
Number of pages9
JournalInternational Journal of Systems Science
Volume28
Issue number8
DOIs
Publication statusPublished - 1997 Jan 1

Fingerprint

Sampling
Manipulation
Maple
Zero
Phase behavior
Range of data
Transfer Function
Transfer functions
Restriction

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Theoretical Computer Science
  • Computer Science Applications

Cite this

Minimum-phase criteria for sampled systems via symbolic approach. / Wang†, Chi Hsu; Wang, Wei-Yen; Hsu, Chen-Chien James.

In: International Journal of Systems Science, Vol. 28, No. 8, 01.01.1997, p. 767-775.

Research output: Contribution to journalArticle

@article{68e0ea689ae14cd2923b65af1c56813b,
title = "Minimum-phase criteria for sampled systems via symbolic approach",
abstract = "In this paper, we propose a symbolic approach to determine the sampling-time range which guarantees minimum-phase behaviours for a sampled system with a zero-order hold. By using Maple, a symbolic manipulation package, the symbolic transfer function of the sampled system, which contains sampling time T as an independent variable, can be easily obtained. We then adopt the critical stability constraints to determine the sampling-time range which ensures that the sampled system has only stable zeros. In comparison with existing methods, the proposed approach in this note has less restrictions on the continuous plant and is very easy to implement in any symbolic manipulation package. Several examples are illustrated to show the effectiveness of this approach.",
author = "Wang†, {Chi Hsu} and Wei-Yen Wang and Hsu, {Chen-Chien James}",
year = "1997",
month = "1",
day = "1",
doi = "10.1080/00207729708929437",
language = "English",
volume = "28",
pages = "767--775",
journal = "International Journal of Systems Science",
issn = "0020-7721",
publisher = "Taylor and Francis Ltd.",
number = "8",

}

TY - JOUR

T1 - Minimum-phase criteria for sampled systems via symbolic approach

AU - Wang†, Chi Hsu

AU - Wang, Wei-Yen

AU - Hsu, Chen-Chien James

PY - 1997/1/1

Y1 - 1997/1/1

N2 - In this paper, we propose a symbolic approach to determine the sampling-time range which guarantees minimum-phase behaviours for a sampled system with a zero-order hold. By using Maple, a symbolic manipulation package, the symbolic transfer function of the sampled system, which contains sampling time T as an independent variable, can be easily obtained. We then adopt the critical stability constraints to determine the sampling-time range which ensures that the sampled system has only stable zeros. In comparison with existing methods, the proposed approach in this note has less restrictions on the continuous plant and is very easy to implement in any symbolic manipulation package. Several examples are illustrated to show the effectiveness of this approach.

AB - In this paper, we propose a symbolic approach to determine the sampling-time range which guarantees minimum-phase behaviours for a sampled system with a zero-order hold. By using Maple, a symbolic manipulation package, the symbolic transfer function of the sampled system, which contains sampling time T as an independent variable, can be easily obtained. We then adopt the critical stability constraints to determine the sampling-time range which ensures that the sampled system has only stable zeros. In comparison with existing methods, the proposed approach in this note has less restrictions on the continuous plant and is very easy to implement in any symbolic manipulation package. Several examples are illustrated to show the effectiveness of this approach.

UR - http://www.scopus.com/inward/record.url?scp=0031212056&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0031212056&partnerID=8YFLogxK

U2 - 10.1080/00207729708929437

DO - 10.1080/00207729708929437

M3 - Article

AN - SCOPUS:0031212056

VL - 28

SP - 767

EP - 775

JO - International Journal of Systems Science

JF - International Journal of Systems Science

SN - 0020-7721

IS - 8

ER -