Minimum-phase criteria for sampled systems via symbolic approach

Chi-Hsu Wang; Wei Yen Wang; Chen Chien Hsu

doi:10.1109/CDC.1996.577473

Minimum-phase criteria for sampled systems via symbolic approach

Chi-Hsu Wang^*, Wei Yen Wang, Chen Chien Hsu

^*Corresponding author for this work

Department of Electrical and Computer Engineering

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

1 Scopus citations

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 packages. Several examples are illustrated to show the effectiveness of this approach.

Original language	English
Title of host publication	Proceedings of the IEEE Conference on Decision and Control
Editors	Anon
Pages	4333-4338
Number of pages	6
DOIs	https://doi.org/10.1109/CDC.1996.577473
State	Published - 1996
Event	Proceedings of the 35th IEEE Conference on Decision and Control. Part 4 (of 4) - Kobe, Jpn Duration: 11 Dec 1996 → 13 Dec 1996

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
Volume	4
ISSN (Print)	0191-2216

Conference

Conference	Proceedings of the 35th IEEE Conference on Decision and Control. Part 4 (of 4)
City	Kobe, Jpn
Period	11/12/96 → 13/12/96

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10.1109/CDC.1996.577473

Cite this

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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 packages. Several examples are illustrated to show the effectiveness of this approach.",

author = "Chi-Hsu Wang and Wang, {Wei Yen} and Hsu, {Chen Chien}",

year = "1996",

doi = "10.1109/CDC.1996.577473",

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series = "Proceedings of the IEEE Conference on Decision and Control",

pages = "4333--4338",

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note = "Proceedings of the 35th IEEE Conference on Decision and Control. Part 4 (of 4) ; Conference date: 11-12-1996 Through 13-12-1996",

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Wang, C-H, Wang, WY & Hsu, CC 1996, Minimum-phase criteria for sampled systems via symbolic approach. in Anon (ed.), Proceedings of the IEEE Conference on Decision and Control. Proceedings of the IEEE Conference on Decision and Control, vol. 4, pp. 4333-4338, Proceedings of the 35th IEEE Conference on Decision and Control. Part 4 (of 4), Kobe, Jpn, 11/12/96. https://doi.org/10.1109/CDC.1996.577473

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ER -

Minimum-phase criteria for sampled systems via symbolic approach

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