Title: An algebra approach for nonlinear multivariable fed-batch bioprocess control

Authors: M. Cecilia Fernández; Maria Nadia Pantano; Santiago Rómoli; H. Daniel Patiño; Oscar Alberto Ortiz; Gustavo J.E. Scaglia

Addresses: Instituto de Ingeniería Química, Universidad Nacional de San Juan (UNSJ), CONICET, Av. Lib. San Martín Oeste 1109, San Juan J5400ARL, Argentina ' Instituto de Ingeniería Química, Universidad Nacional de San Juan (UNSJ), CONICET, Av. Lib. San Martín Oeste 1109, San Juan J5400ARL, Argentina ' Instituto de Ingeniería Química, Universidad Nacional de San Juan (UNSJ), CONICET, Av. Lib. San Martín Oeste 1109, San Juan J5400ARL, Argentina ' Instituto de Automática, Universidad Nacional de San Juan (UNSJ), CONICET, Av. Lib. San Martín Oeste 1109, San Juan J5400ARL, Argentina ' Instituto de Ingeniería Química, Universidad Nacional de San Juan (UNSJ), CONICET, Av. Lib. San Martín Oeste 1109, San Juan J5400ARL, Argentina ' Instituto de Ingeniería Química, Universidad Nacional de San Juan (UNSJ), CONICET, Av. Lib. San Martín Oeste 1109, San Juan J5400ARL, Argentina

Abstract: In this paper, a linear algebra-based controller design is proposed. This technique allows tracking, with minimum error, predefined optimal profiles in nonlinear and multivariable systems. To achieve this, control actions are obtained by solving a linear equation system. The controller parameters are selected with a Monte Carlo algorithm. The methodology is applied in a fed-batch penicillin production process, where the control action is the feed flow rate and the tracked profiles are the concentration of biomass, product and subtract inside the reactor. Different tests are shown to prove the good performance of the controller adding: parametric uncertainty and perturbations in the control action and in the initial conditions

Keywords: nonlinear dynamics control; fed-batch fermentation; penicillin production; profiles tracking control.

DOI: 10.1504/IJISE.2019.102041

International Journal of Industrial and Systems Engineering, 2019 Vol.33 No.1, pp.38 - 57

Received: 16 May 2017
Accepted: 29 Dec 2017
Published online: 04 Sep 2019 *

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