Analysis of open-loop and L2∕D controlled closed-loop behavior of the Cholette's bioreactor under different operating conditions.

Affiliation

Institute of Applied Chemistry, Universidad del Papaloapan, Circuito Central 200, colonia Parque Industrial, Tuxtepec, Oax. 68301, Mexico. Electronic address: [Email]

Abstract

The scope of this paper is the analysis of open-loop and L2/D controlled closed-loop behavior of the Cholette's bioreactor under different operating conditions. The open-loop behavior is studied by means of the steady-state multiplicity areas formed by substrate feed concentration and substrate concentration in the output using the nonlinear model of the bioreactor. The stability of each steady-state inside areas is determined by a polynomial representation. The nonlinear dynamic and steady-state multiplicity areas of the Cholette's bioreactor are shown to depend on the operating conditions and concentration required. The closed-loop behavior is studied by the tuning of a set of Pareto-optimal L2/D linear controllers at a stable operating point. Numerical simulations and phase portraits are used to evaluate the control system. This paper could be a guide for theoretical and practical applications in the fields of biotechnology and automatic control.

Keywords

Cholette’s bioreactor,Multiplicity,Nonlinear system,Pareto-optimal linear controllers,Steady-state,

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