Observer-based output feedback linear control applied to a denitrification reactor

In this paper an observer-based output dynamic feedback controller for a denitrification biofilter is proposed. It is based on a linear reduced-order model obtained from the original parabolic distributed parameter system using modal analysis through the proper orthogonal decomposition method. A state feedback control law and an associated Luenberger observer are computed by solving two H
₂
optimization problems under LMI constraints to reject external disturbances and to stabilize the closed-loop dynamics.