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Controlling continuous bioreactor via nonlinear feedback: modelling and simulations approach

Aguilar-López R., Neria-González I.

Bulletin of the Polish Academy of Sciences. Technical Sciences

2016

Vol. 64, nr 1

235--241

The aim of this work is to present a class of nonlinear controller with an exponential-type feedback in order to regulate the sulfate mass concentration via the input flow in a continuous stirred tank bioreactor of an anaerobic sulfate-reducing process. The corresponding kinetic terms in the bioreactor’s modeling are modeled by unstructured modeling approach, which was experimentally corroborated. A sketch of proof of the closed-loop stability of the considered system is done under the framework of Lyapunov theory. Numerical experiments are conducted to show the performance of the proposed methodology in comparison with a well-tuned sigmoid controller.

Stabilization methods for nonlinear second-order systems

Skruch P.

Archives of Control Sciences

2009

Vol. 19, no. 2

205-216

The goal of this paper is to study stabilization techniques for a system described by nonlinear second-order differential equations. The problem is to determine the feedback control as a function of the state variables. It is shown that the following controllers can asymptotically stabilize the system: linear position feedback, linear velocity feedback and a group of nonlinear feedbacks. The asymptotic stability of the closed-loop system has been proved by LaSalle's invariance principle. The results of numerical computations are included to verify theoretical analysis and mathematical formulation.