Stability and Worst-Case Performance Analysis of Sampled-Data Control Systems with Input and Output Jitter

Anton Cervin

doi:10.1109/ACC.2012.6315304

Stability and Worst-Case Performance Analysis of Sampled-Data Control Systems with Input and Output Jitter

Anton Cervin

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

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Abstract

When a feedback controller is implemented in a networked embedded system, the computations and communications induce delays and jitter, which may destabilize the control loop. The majority of previous work on analysis of control loops with time-varying delays has focused on output (actuation) jitter. In many embedded systems, input (sampling) jitter is also an issue. In this paper, we analyze the combined effect of input and output jitter on the stability and performance of linear sampled-data control systems. The analysis is performed via a loop transformation involving two time-varying uncertainties. We show how the input-output gains of the linear part of the transformed system can be computed using a fast-sampling/fast-hold approximation. At the same time, we reduce the conservativeness of a previous stability theorem for pure output jitter.

Original language	English
Title of host publication	2012 American Control Conference (ACC)
Publisher	IEEE - Institute of Electrical and Electronics Engineers Inc.
Pages	3760-3765
ISBN (Print)	978-1-4577-1095-7
DOIs	https://doi.org/10.1109/ACC.2012.6315304
Publication status	Published - 2012
Event	American Control Conference, 2012 - Montréal, Canada Duration: 2012 Jun 27 → 2012 Jun 29

Conference

Conference	American Control Conference, 2012
Country/Territory	Canada
City	Montréal
Period	2012/06/27 → 2012/06/29

Bibliographical note

key=cervin2012acc
project=elliit-sched

Subject classification (UKÄ)

Control Engineering

Free keywords

sampled-data systems real-time control jitter stability analysis

Access to Document

10.1109/ACC.2012.6315304

final

Cite this

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title = "Stability and Worst-Case Performance Analysis of Sampled-Data Control Systems with Input and Output Jitter",

abstract = "When a feedback controller is implemented in a networked embedded system, the computations and communications induce delays and jitter, which may destabilize the control loop. The majority of previous work on analysis of control loops with time-varying delays has focused on output (actuation) jitter. In many embedded systems, input (sampling) jitter is also an issue. In this paper, we analyze the combined effect of input and output jitter on the stability and performance of linear sampled-data control systems. The analysis is performed via a loop transformation involving two time-varying uncertainties. We show how the input-output gains of the linear part of the transformed system can be computed using a fast-sampling/fast-hold approximation. At the same time, we reduce the conservativeness of a previous stability theorem for pure output jitter.",

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year = "2012",

doi = "10.1109/ACC.2012.6315304",

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N2 - When a feedback controller is implemented in a networked embedded system, the computations and communications induce delays and jitter, which may destabilize the control loop. The majority of previous work on analysis of control loops with time-varying delays has focused on output (actuation) jitter. In many embedded systems, input (sampling) jitter is also an issue. In this paper, we analyze the combined effect of input and output jitter on the stability and performance of linear sampled-data control systems. The analysis is performed via a loop transformation involving two time-varying uncertainties. We show how the input-output gains of the linear part of the transformed system can be computed using a fast-sampling/fast-hold approximation. At the same time, we reduce the conservativeness of a previous stability theorem for pure output jitter.

AB - When a feedback controller is implemented in a networked embedded system, the computations and communications induce delays and jitter, which may destabilize the control loop. The majority of previous work on analysis of control loops with time-varying delays has focused on output (actuation) jitter. In many embedded systems, input (sampling) jitter is also an issue. In this paper, we analyze the combined effect of input and output jitter on the stability and performance of linear sampled-data control systems. The analysis is performed via a loop transformation involving two time-varying uncertainties. We show how the input-output gains of the linear part of the transformed system can be computed using a fast-sampling/fast-hold approximation. At the same time, we reduce the conservativeness of a previous stability theorem for pure output jitter.

KW - sampled-data systems real-time control jitter stability analysis

UR - https://www.scopus.com/pages/publications/84869444814

U2 - 10.1109/ACC.2012.6315304

DO - 10.1109/ACC.2012.6315304

M3 - Paper in conference proceeding

SN - 978-1-4577-1095-7

SP - 3760

EP - 3765

BT - 2012 American Control Conference (ACC)

PB - IEEE - Institute of Electrical and Electronics Engineers Inc.

T2 - American Control Conference, 2012

Y2 - 27 June 2012 through 29 June 2012

ER -

Stability and Worst-Case Performance Analysis of Sampled-Data Control Systems with Input and Output Jitter

Abstract

Conference

Bibliographical note

Subject classification (UKÄ)

Free keywords

Access to Document

Other files and links

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LCCC

Cite this

Stability and Worst-Case Performance Analysis of Sampled-Data Control Systems with Input and Output Jitter

Abstract

Conference

Bibliographical note

Subject classification (UKÄ)

Free keywords

Access to Document

Other files and links

Fingerprint

Projects

LCCC

Cite this