Sampled-data feedback stabilization of age-structured chemostat models

Author

Karafyllis, Iasson ; Malisoff, Michael ; Krstic, Miroslav

Author_Institution

Dept. of Math., Nat. Tech. Univ. of Athens, Athens, Greece

fYear

2015

fDate

1-3 July 2015

Firstpage

4549

Lastpage

4554

Abstract

We solve a problem of stabilizing an arbitrary equilibrium age profile in an age-structured chemostat. The model is a first-order hyperbolic partial differential equation, with the dilution rate as the control. Our sampled-data feedback ensures stabilization, with arbitrarily sparse sampling. Since the sampling control takes all of its values in a pre-specified bounded interval, we satisfy input constraints. The feedback does not require exact knowledge of the model, nor does it require measurement of the whole age profile.

Keywords

bioreactors; chemical equilibrium; feedback; hyperbolic equations; partial differential equations; sampled data systems; sampling methods; stability; age-structured chemostat models; arbitrarily sparse sampling; arbitrary equilibrium age profile stabilization; dilution rate; first-order hyperbolic partial differential equation; input constraints; prespecified bounded interval; sampled-data feedback stabilization; sampling control; Biological system modeling; Integral equations; Mathematical model; Pediatrics; Sociology; Statistics; Substrates; bioreactor; hyperbolic partial differential equation; sampled control; stabilization;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference (ACC), 2015

Conference_Location

Chicago, IL

Print_ISBN

978-1-4799-8685-9

Type

conf

DOI

10.1109/ACC.2015.7172045

Filename

7172045