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

^*此作品的通信作者

電機工程學系

研究成果: Chapter › 同行評審

1 引文斯高帕斯（Scopus）

摘要

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.

原文	English
主出版物標題	Proceedings of the IEEE Conference on Decision and Control
編輯	Anon
頁面	4333-4338
頁數	6
DOIs	https://doi.org/10.1109/CDC.1996.577473
出版狀態	Published - 1996
事件	Proceedings of the 35th IEEE Conference on Decision and Control. Part 4 (of 4) - Kobe, Jpn 持續時間: 11 12月 1996 → 13 12月 1996

出版系列

名字	Proceedings of the IEEE Conference on Decision and Control
卷	4
ISSN（列印）	0191-2216

Conference

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

存取文件

10.1109/CDC.1996.577473

其它文件與鏈接

Link to publication in Scopus

引用此

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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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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. 於 Anon (編輯), Proceedings of the IEEE Conference on Decision and Control. Proceedings of the IEEE Conference on Decision and Control, 卷 4, 頁 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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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 packages. Several examples are illustrated to show the effectiveness of this approach.

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ER -

Minimum-phase criteria for sampled systems via symbolic approach

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