Stabilization in a chemostat with sampled and delayed measurements and uncertain growth functions

• Autores: Frederic Mazenc, Jérôme Harmand, Michael Malisoff
• Localización: Automatica: A journal of IFAC the International Federation of Automatic Control, ISSN 0005-1098, Vol. 78, 2017, págs. 241-249
• Idioma: inglés
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• Resumen

  • Abstract We provide a new control design for chemostats, under constant substrate input concentrations, using piecewise constant delayed measurements of the substrate concentration. Our growth functions can be uncertain and are not necessarily monotone. The dilution rate is the control. We use a new Lyapunov approach to derive conditions on the largest sampling interval and on the delay length to ensure asymptotic stabilization properties of a componentwise positive equilibrium point.