Observer-based trajectory tracking for anaerobic digestion process

Overview & Synopsis

A novel control strategy is proposed for the Anaerobic digestion (AD) process to track a reference trajectory. This is motivated by the aim to control the produced biogas quality and quantity. The control scheme is composed from an exponential nonlinear observer which remedies for the lack of measurements and a feedback control which accounts for all the process dynamics. By using the LPV techniques, the Lyapunov analysis and the well-known Barbalat's lemma, global stability conditions are synthesized in the form of Linear Matrix Inequalities (LMIs). The feasibility of the obtained LMIs is enhanced due to the introduction of a non diagonal multiplier matrix coming from a convenient use of Young's inequality. Finally, the simulation results are provided to validate the effectiveness of the proposed control strategy in this note.