Control of a Class of Sulfate Reducing Chemostat Via Feedback Polynomial Injection

Abstract

The main goal of this work is to present a new class of feedback controller which contains on its structure a polynomial form of the named control error, the proposed controller is applied to a class of sulfate-reducing chemostat in order to control the sulfate concentration, which would be useful for several biotechnological issues, as heavy metal removal in wastewater. The closed-loop behavior of the chemostat is theoretically analyzed and a practical convergence to the selected optimum trajectory is proved. The proposed methodology is applied to an experimentally corroborated kinetic model of a sulfate-reducing bacterium and further numerical experiments show the satisfactory closed-loop performance of the process in comparison with other controllers.