Best achievable tracking performance in sampled-data control systems

Jie Chen; Shinji Hara; Li Qui; Rick Middleton

doi:10.1109/CDC.2002.1184972

Best achievable tracking performance in sampled-data control systems

Jie Chen, Shinji Hara^*, Li Qui, Rick Middleton

^*Corresponding author for this work

Research output: Chapters, Conference Papers, Creative and Literary Works › RGC 32 - Refereed conference paper (with host publication) › peer-review

3 Citations (Scopus)

Abstract

In this paper we study the problem of tracking a step reference signal using sampled-data control systems. We investigate the best achievable tracking performance, where the performance is deemed best for it is the minimal attainable by all possible sampled-data stabilizing controllers. Our primary objective is to investigate the fundamental tracking performance limit in sampled-data systems, and to understand whether and how sampling and hold in a sampled-data system may impose intrinsic barriers to performance. For this optimal tracking performance. The result shows that a performance loss is generally incurred in a sampled-data system, in comparison to the tracking performance achievable by continuous-time controllers. This loss of performance, as so demonstrated by the expression, can be attributed to the non-minimum behaviors and the aliasing effects generated by samplers and hold devices. © 2002 IEEE.

Original language	English
Title of host publication	Proceedings of the 41st IEEE Conference on Decision and Control
Publisher	IEEE
Pages	3889-3894
Volume	4
ISBN (Electronic)	0-7803-7517-3
ISBN (Print)	0-7803-7516-5
DOIs	https://doi.org/10.1109/CDC.2002.1184972
Publication status	Published - Dec 2002
Externally published	Yes
Event	41st IEEE Conference on Decision and Control (CDC 2002) - Las Vegas, United States Duration: 10 Dec 2002 → 13 Dec 2002

Publication series

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

Conference

Conference	41st IEEE Conference on Decision and Control (CDC 2002)
Place	United States
City	Las Vegas
Period	10/12/02 → 13/12/02

Research Keywords

H2 control
Non-minimum phase zeros
Performance limitation
Sampled-data feedback system

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10.1109/CDC.2002.1184972

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@inproceedings{89e3ec88f7a04e04a7adabc9f2d7d05b,

title = "Best achievable tracking performance in sampled-data control systems",

abstract = "In this paper we study the problem of tracking a step reference signal using sampled-data control systems. We investigate the best achievable tracking performance, where the performance is deemed best for it is the minimal attainable by all possible sampled-data stabilizing controllers. Our primary objective is to investigate the fundamental tracking performance limit in sampled-data systems, and to understand whether and how sampling and hold in a sampled-data system may impose intrinsic barriers to performance. For this optimal tracking performance. The result shows that a performance loss is generally incurred in a sampled-data system, in comparison to the tracking performance achievable by continuous-time controllers. This loss of performance, as so demonstrated by the expression, can be attributed to the non-minimum behaviors and the aliasing effects generated by samplers and hold devices. {\textcopyright} 2002 IEEE.",

keywords = "H2 control, Non-minimum phase zeros, Performance limitation, Sampled-data feedback system",

author = "Jie Chen and Shinji Hara and Li Qui and Rick Middleton",

year = "2002",

month = dec,

doi = "10.1109/CDC.2002.1184972",

language = "English",

isbn = "0-7803-7516-5",

volume = "4",

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

publisher = "IEEE",

pages = "3889--3894",

booktitle = "Proceedings of the 41st IEEE Conference on Decision and Control",

address = "United States",

note = "41st IEEE Conference on Decision and Control (CDC 2002) ; Conference date: 10-12-2002 Through 13-12-2002",

}

Chen, J, Hara, S, Qui, L & Middleton, R 2002, Best achievable tracking performance in sampled-data control systems. in Proceedings of the 41st IEEE Conference on Decision and Control. vol. 4, Proceedings of the IEEE Conference on Decision and Control, IEEE, pp. 3889-3894, 41st IEEE Conference on Decision and Control (CDC 2002), Las Vegas, Nevada, United States, 10/12/02. https://doi.org/10.1109/CDC.2002.1184972

Best achievable tracking performance in sampled-data control systems. / Chen, Jie; Hara, Shinji; Qui, Li et al.
Proceedings of the 41st IEEE Conference on Decision and Control. Vol. 4 IEEE, 2002. p. 3889-3894 (Proceedings of the IEEE Conference on Decision and Control).

Research output: Chapters, Conference Papers, Creative and Literary Works › RGC 32 - Refereed conference paper (with host publication) › peer-review

TY - GEN

T1 - Best achievable tracking performance in sampled-data control systems

AU - Chen, Jie

AU - Hara, Shinji

AU - Qui, Li

AU - Middleton, Rick

PY - 2002/12

Y1 - 2002/12

N2 - In this paper we study the problem of tracking a step reference signal using sampled-data control systems. We investigate the best achievable tracking performance, where the performance is deemed best for it is the minimal attainable by all possible sampled-data stabilizing controllers. Our primary objective is to investigate the fundamental tracking performance limit in sampled-data systems, and to understand whether and how sampling and hold in a sampled-data system may impose intrinsic barriers to performance. For this optimal tracking performance. The result shows that a performance loss is generally incurred in a sampled-data system, in comparison to the tracking performance achievable by continuous-time controllers. This loss of performance, as so demonstrated by the expression, can be attributed to the non-minimum behaviors and the aliasing effects generated by samplers and hold devices. © 2002 IEEE.

AB - In this paper we study the problem of tracking a step reference signal using sampled-data control systems. We investigate the best achievable tracking performance, where the performance is deemed best for it is the minimal attainable by all possible sampled-data stabilizing controllers. Our primary objective is to investigate the fundamental tracking performance limit in sampled-data systems, and to understand whether and how sampling and hold in a sampled-data system may impose intrinsic barriers to performance. For this optimal tracking performance. The result shows that a performance loss is generally incurred in a sampled-data system, in comparison to the tracking performance achievable by continuous-time controllers. This loss of performance, as so demonstrated by the expression, can be attributed to the non-minimum behaviors and the aliasing effects generated by samplers and hold devices. © 2002 IEEE.

KW - H2 control

KW - Non-minimum phase zeros

KW - Performance limitation

KW - Sampled-data feedback system

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DO - 10.1109/CDC.2002.1184972

M3 - RGC 32 - Refereed conference paper (with host publication)

SN - 0-7803-7516-5

VL - 4

T3 - Proceedings of the IEEE Conference on Decision and Control

SP - 3889

EP - 3894

BT - Proceedings of the 41st IEEE Conference on Decision and Control

PB - IEEE

T2 - 41st IEEE Conference on Decision and Control (CDC 2002)

Y2 - 10 December 2002 through 13 December 2002

ER -

Best achievable tracking performance in sampled-data control systems

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Research Keywords

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