<abstract xml:lang="en" xmlns="http://www.w3.org/1999/xhtml"><p>In this paper we consider a nonlinear model of a biological wastewater treatment process, based on two microbial populations and two substrates. The model, described by a four-dimensional dynamic system, is known to be practically verified and reliable. First we study the equilibrium points of the open-loop system, their stability and local bifurcations with respect to the control variable. Further we propose a feedback control law for asymptotic stabilization of the closed-loop system towards a previously chosen operating point. A numerical extremum seeking algorithm is designed to stabilize the dynamics towards the maximum methane output flow rate in the presence of coefficient uncertainties. Computer simulations in Maple are reported to illustrate the theoretical results.</p></abstract>

In this paper we consider a nonlinear model of a biological wastewater treatment process, based on two microbial populations and two substrates. The model, described by a four-dimensional dynamic system, is known to be practically verified and reliable. First we study the equilibrium points of the open-loop system, their stability and local bifurcations with respect to the control variable. Further we propose a feedback control law for asymptotic stabilization of the closed-loop system towards a previously chosen operating point. A numerical extremum seeking algorithm is designed to stabilize the dynamics towards the maximum methane output flow rate in the presence of coefficient uncertainties. Computer simulations in Maple are reported to illustrate the theoretical results.

Nonlinear Stabilizing Control of an Uncertain Bioprocess Model

Department of Biomathematics, Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Acad. G. Bonchev str., bl. 8, 1113 Sofia, Bulgaria

International Journal of Applied Mathematics and Computer Science

{"article-title":"Nonlinear Stabilizing Control of an Uncertain Bioprocess Model"}

In this paper we consider a nonlinear model of a biological wastewater treatment process, based on two microbial populations and two substrates. The model,...

Nonlinear Stabilizing Control of an Uncertain Bioprocess Model

Published Online: Sep 24, 2009

Page range: 441 - 454

DOI: https://doi.org/10.2478/v10006-009-0036-0

Keywords
wastewater treatment model, local bifurcations of steady states, asymptotic stabilization, extremum seeking, uncertain data

This content is open access.

Nonlinear Stabilizing Control of an Uncertain Bioprocess Model

Published Online: Sep 24, 2009

Page range: 441 - 454

DOI: https://doi.org/10.2478/v10006-009-0036-0

Keywordswastewater treatment model, local bifurcations of steady states, asymptotic stabilization, extremum seeking, uncertain data

This content is open access.

Keywords
wastewater treatment model, local bifurcations of steady states, asymptotic stabilization, extremum seeking, uncertain data