Minimum-phase criteria for sampled systems via symbolic approach

Chi Hsu Wang; Wei Yen Wang; Chen Chien Hsu

Minimum-phase criteria for sampled systems via symbolic approach

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

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Chapter

1 Citation (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 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
Publication status	Published - 1996
Externally published	Yes
Event	Proceedings of the 35th IEEE Conference on Decision and Control. Part 4 (of 4) - Kobe, Jpn Duration: 1996 Dec 11 → 1996 Dec 13

Publication series

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

Other

Other	Proceedings of the 35th IEEE Conference on Decision and Control. Part 4 (of 4)
City	Kobe, Jpn
Period	1996/12/11 → 1996/12/13

ASJC Scopus subject areas

Control and Systems Engineering
Modelling and Simulation
Control and Optimization

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

year = "1996",

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

pages = "4333--4338",

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

AU - Wang, Chi Hsu

AU - Wang, Wei Yen

AU - Hsu, Chen Chien

PY - 1996

Y1 - 1996

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

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M3 - Chapter

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T3 - Proceedings of the IEEE Conference on Decision and Control

SP - 4333

EP - 4338

BT - Proceedings of the IEEE Conference on Decision and Control

A2 - Anon, null

T2 - Proceedings of the 35th IEEE Conference on Decision and Control. Part 4 (of 4)

Y2 - 11 December 1996 through 13 December 1996

ER -

Minimum-phase criteria for sampled systems via symbolic approach

Abstract

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