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A multivariable control scheme in a two-stage anaerobic digestion system described by partial differential equations
Authors:Efrén Aguilar-Garnica  Denis Dochain  Víctor Alcaraz-González  Víctor González-Álvarez
Affiliation:1. Departamento de Química, Universidad Autónoma de Guadalajara, 1201 Av. Patria, 44100 Guadalajara, México;2. CESAME, Université Catholique de Louvain, Bâtiment Euler, 4–6 Av. G. Lemaître, B-1348 Louvain-la-Neuve, Belgium;3. Departamento de Ingeniería Química, Universidad de Guadalajara, 1451 Blvd. M.G. Barragán, 44430 Guadalajara, México;1. Koc University, Istanbul, Turkey;2. Middle East Technical University, Ankara, Turkey;3. Carnegie Mellon University, Pittsburgh, PA, USA;4. University of Maryland
Abstract:This paper deals with the design and application of a nonlinear multivariable controller in an anaerobic digestion system (AD) carried out in two interconnected fixed bed bioreactors. The proposed control scheme is derived from a mathematical model of the AD system described by a set of partial differential equations and consists of an estimator and two nonlinear control laws. The first law is developed to regulate the volatile fatty acids in the first bioreactor while the second aims at maintaining the chemical oxygen demand at predetermined set-points in the second bioreactor. The performance of the control algorithm is evaluated via numerical simulations in the face of load disturbances, parameter kinetic uncertainties and set-point changes. Stability and convergence properties of the proposed control scheme are also addressed in this paper.
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