Saturated Output-Feedback Control for a Class of Continuous Fermenters

Abstract The problem of designing a saturated Output-Feedback (OF) controller for a three species continuous fermenter with substrate and product-inhibited kinetics is addressed. The reactor must be operated at maximum production rate by manipulating the feed rate on the basis of a (biomass, substrate or reaction rate) measurement. The combination of global dynamics concepts with State-Feedback (SF) and OF nonlinear control tools yields a linear dynamical OF saturated control design with: (i) robust stability conditions in terms of the controller gains and saturation limits, and (ii) simple tuning guidelines. The linear OF saturated controller: (i) recovers, in a practical stability sense, the behavior of a globally stabilizing nonlinear robust SF saturated controller, and (ii) becomes a linear PI controller in the absence of saturation. The proposed approach is illustrated and tested with a representative example through simulations.

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