Analysis of a probing control strategy

Author

Velut, Stephane ; Hagander, Per

Author_Institution

Dept. of Autom. Control, Lund Inst. of Technol., Sweden

Volume

1

fYear

2003

fDate

4-6 June 2003

Firstpage

609

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 for feedback the size of the pulse response in the output. The probing control strategy has been used with success for the control of the substrate feeding in E. coli cultivations. The analysis is done here for systems of Hammerstein type with a piecewise affine nonlinearity. Stability of the closed-loop system can be checked by solving suitable linear matrix inequalities. Some performance analysis that can help the user for the control design is also performed.

Keywords

biocontrol; closed loop systems; controllers; feedback; linear matrix inequalities; microorganisms; optimal control; piecewise linear techniques; stability; E. coli cultivations; Escherichia coli; Hammerstein type; affine nonlinearity; closed loop system; control design; control signal; extremum controller; linear matrix inequalities; piecewise affine nonlinearity; probing control strategy; probing pulse superimposing; pulse technique; stability; substrate feeding; Automatic control; Feeds; Linear matrix inequalities; Nonlinear dynamical systems; Performance analysis; Production; Proteins; Signal processing; Size control; Stability analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 2003. Proceedings of the 2003

ISSN

0743-1619

Print_ISBN

0-7803-7896-2

Type

conf

DOI

10.1109/ACC.2003.1239086

Filename

1239086