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

Cervin, Anton LU orcid (2012) American Control Conference, 2012 p.3760-3765
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... (More)
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. (Less)
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
keywords
sampled-data systems real-time control jitter stability analysis
host publication
2012 American Control Conference (ACC)
pages
3760 - 3765
publisher
IEEE - Institute of Electrical and Electronics Engineers Inc.
conference name
American Control Conference, 2012
conference location
Montréal, Canada
conference dates
2012-06-27 - 2012-06-29
external identifiers
  • scopus:84869444814
ISBN
978-1-4577-1095-7
DOI
10.1109/ACC.2012.6315304
project
LCCC
ELLIIT-sched
language
English
LU publication?
yes
additional info
key=cervin2012acc project=elliit-sched
id
b987b19d-8f60-4029-b734-30fd94b2dc71 (old id 2372044)
date added to LUP
2016-04-04 12:23:58
date last changed
2024-06-04 15:07:16
@inproceedings{b987b19d-8f60-4029-b734-30fd94b2dc71,
  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.}},
  author       = {{Cervin, Anton}},
  booktitle    = {{2012 American Control Conference (ACC)}},
  isbn         = {{978-1-4577-1095-7}},
  keywords     = {{sampled-data systems real-time control jitter stability analysis}},
  language     = {{eng}},
  pages        = {{3760--3765}},
  publisher    = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}},
  title        = {{Stability and Worst-Case Performance Analysis of Sampled-Data Control Systems with Input and Output Jitter}},
  url          = {{https://lup.lub.lu.se/search/files/5995931/2430180.pdf}},
  doi          = {{10.1109/ACC.2012.6315304}},
  year         = {{2012}},
}