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Analysis of a probing control strategy

Velut, Stéphane LU and Hagander, Per LU (2003) 1. p.609-614
Abstract
In this paper we analyse an extremum controller based on a pulsetechnique. The idea is to superimpose probing pulses to the controlsignal and use for feedback the size of the pulse response in the output. Theprobing control strategy has been used with success forthe control of the substrate feeding in E. coli cultivations. The analysis is done here for systems ofHammerstein type with a piecewise affine nonlinearity. Stability ofthe closed-loop system can be checked by solving suitable linearmatrix inequalities. Some performance analysis that can help the userfor the control design is also performed.
Please use this url to cite or link to this publication:
author
and
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
keywords
stability, linear matrix, control signal, affine nonlinearity, Hammerstein type, Escherichia coli, E. coli cultivations, inequalities, piecewise affine nonlinearity, probing control strategy, probing pulse superimposing, substrate feeding, pulse technique, extremum controller, control design, closed loop system
host publication
Proceedings / American Control Conference 2003
volume
1
pages
609 - 614
publisher
IEEE - Institute of Electrical and Electronics Engineers Inc.
external identifiers
  • wos:000186706200104
  • scopus:0142217164
ISSN
0743-1619
ISBN
0-7803-7896-2
DOI
10.1109/ACC.2003.1239086
language
English
LU publication?
yes
id
43b329ac-712c-4442-b9f5-2ac908171830 (old id 536720)
date added to LUP
2016-04-01 16:35:21
date last changed
2022-04-22 23:01:56
@inproceedings{43b329ac-712c-4442-b9f5-2ac908171830,
  abstract     = {{In this paper we analyse an extremum controller based on a pulsetechnique. The idea is to superimpose probing pulses to the controlsignal and use for feedback the size of the pulse response in the output. Theprobing control strategy has been used with success forthe control of the substrate feeding in E. coli cultivations. The analysis is done here for systems ofHammerstein type with a piecewise affine nonlinearity. Stability ofthe closed-loop system can be checked by solving suitable linearmatrix inequalities. Some performance analysis that can help the userfor the control design is also performed.}},
  author       = {{Velut, Stéphane and Hagander, Per}},
  booktitle    = {{Proceedings / American Control Conference 2003}},
  isbn         = {{0-7803-7896-2}},
  issn         = {{0743-1619}},
  keywords     = {{stability; linear matrix; control signal; affine nonlinearity; Hammerstein type; Escherichia coli; E. coli cultivations; inequalities; piecewise affine nonlinearity; probing control strategy; probing pulse superimposing; substrate feeding; pulse technique; extremum controller; control design; closed loop system}},
  language     = {{eng}},
  pages        = {{609--614}},
  publisher    = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}},
  title        = {{Analysis of a probing control strategy}},
  url          = {{https://lup.lub.lu.se/search/files/4716860/625636.pdf}},
  doi          = {{10.1109/ACC.2003.1239086}},
  volume       = {{1}},
  year         = {{2003}},
}