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Stability analysis of systems with uncertain time-varying delays

Kao, Chung-Yao and Rantzer, Anders LU (2007) In Automatica 43(6). p.959-970
Abstract
Stability of systems in the presence of bounded uncertain time-varying delays in the feedback loop is studied. The delay parameter is assumed to be an unknown time-varying function for which the upper bounds on the magnitude and the variation are given. The stability problem is treated in the integral quadratic constraint (IQC) framework. Criteria for verifying robust stability are formulated as feasibility problems over a set of frequency-dependent linear matrix inequalities. The criteria can be equivalently formulated as semi-definite programs (SDP) using Kalman-Yakubovich-Popovlemma. As such, checking robust stability can be performed in a computationally efficient fashion. (C) 2007 Elsevier Ltd. All rights reserved.
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
integral quadratic, time-varying delay, robust stability analysis, constraint
in
Automatica
volume
43
issue
6
pages
959 - 970
publisher
Pergamon
external identifiers
  • wos:000246870500002
  • scopus:34247521318
ISSN
0005-1098
DOI
10.1016/j.automatica.2006.12.006
language
English
LU publication?
yes
id
5643cb04-4396-4e5d-9ba4-df76febdf32c (old id 657585)
date added to LUP
2007-12-13 15:16:43
date last changed
2017-11-12 03:56:02
@article{5643cb04-4396-4e5d-9ba4-df76febdf32c,
  abstract     = {Stability of systems in the presence of bounded uncertain time-varying delays in the feedback loop is studied. The delay parameter is assumed to be an unknown time-varying function for which the upper bounds on the magnitude and the variation are given. The stability problem is treated in the integral quadratic constraint (IQC) framework. Criteria for verifying robust stability are formulated as feasibility problems over a set of frequency-dependent linear matrix inequalities. The criteria can be equivalently formulated as semi-definite programs (SDP) using Kalman-Yakubovich-Popovlemma. As such, checking robust stability can be performed in a computationally efficient fashion. (C) 2007 Elsevier Ltd. All rights reserved.},
  author       = {Kao, Chung-Yao and Rantzer, Anders},
  issn         = {0005-1098},
  keyword      = {integral quadratic,time-varying delay,robust stability analysis,constraint},
  language     = {eng},
  number       = {6},
  pages        = {959--970},
  publisher    = {Pergamon},
  series       = {Automatica},
  title        = {Stability analysis of systems with uncertain time-varying delays},
  url          = {http://dx.doi.org/10.1016/j.automatica.2006.12.006},
  volume       = {43},
  year         = {2007},
}