Year: 2025
Type: article
Abstract: This paper investigates the stabilization of a chemostat system with biomass settling dynamics using feedback linearization and model reduction techniques. The original three-dimensional system, composed of substrate, free biomass, and settled biomass compartments, is reduced to a two-dimensional system by assuming quasi-steady-state for the settled biomass population. A nonlinear feedback control law for the dilution rate is then designed using feedback linearization, aiming to regulate the free biomass concentration around a desired set point. The proposed control strategy compensates for nonlinearities introduced by Monod-type microbial growth and biomass settling effects. To evaluate robustness, time-varying disturbances are introduced into the inflow substrate concentration. Numerical simulations in MATLAB confirm that the closed-loop system maintains stability and tracks the biomass target despite sustained inflow fluctuations. The results demonstrate the efficacy of the reduced-order feedback linearization approach in chemostat stabilization and its potential for bioreactor control under uncertain environmental conditions.
Source: Mathematics
DOI: 10.3390/math13223647
Authors: Abdullah Abu-Rqayiq, Haneen Alayed
Institution: University of Cincinnati
Language: English
Field: Medicine
Domain: Health Sciences
Open Access status: gold
Estimated APC paid: $3,137
Funder: University of Cincinnati
OpenAlex ID: W4416200377