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Analysis of a Probing Control Strategy

Hagander, Per LU and Velut, Stéphane LU (2002) In Report TFRT 7602.
Abstract
In this paper we analyse an extremum controller based on a pulse technique. The idea is to superimpose probing pulses to the control signal and use the size of the pulse response in the output for feedback. The probing control strategy has been used with success for the control of the substrate feeding in E. coli cultivations. The stability analysis is done here for systems of Hammerstein type with a piecewise affine nonlinearity. Stability regions of the closed-loop system are derived by solving suitable linear matrix inequalities. Some robustness results with respect to uncertainty in the plant are also given.
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author
organization
publishing date
type
Book/Report
publication status
published
subject
in
Report TFRT
volume
7602
publisher
Department of Automatic Control, Lund Institute of Technology (LTH)
ISSN
0280-5316
language
English
LU publication?
yes
id
84f5e7fa-3508-469d-8e7e-486ecff1b5a5 (old id 8602665)
date added to LUP
2016-02-15 19:14:13
date last changed
2016-04-16 04:18:52
@techreport{84f5e7fa-3508-469d-8e7e-486ecff1b5a5,
  abstract     = {In this paper we analyse an extremum controller based on a pulse technique. The idea is to superimpose probing pulses to the control signal and use the size of the pulse response in the output for feedback. The probing control strategy has been used with success for the control of the substrate feeding in E. coli cultivations. The stability analysis is done here for systems of Hammerstein type with a piecewise affine nonlinearity. Stability regions of the closed-loop system are derived by solving suitable linear matrix inequalities. Some robustness results with respect to uncertainty in the plant are also given.},
  author       = {Hagander, Per and Velut, Stéphane},
  institution  = {Department of Automatic Control, Lund Institute of Technology (LTH)},
  issn         = {0280-5316},
  language     = {eng},
  series       = {Report TFRT},
  title        = {Analysis of a Probing Control Strategy},
  volume       = {7602},
  year         = {2002},
}