Model Order Reduction for Water Quality Dynamics

A state-space representation of water quality dynamics describing disinfectant (e.g., chlorine) transport in drinking distribution networks has been recently proposed. Such is a byproduct space- and time-discretization the PDE modeling dynamics. This results large dimension even for small with tens nodes. Although such model provides model-driven approach to predict dynamics, incorporating it into model-based control algorithms or state estimators challenging at times intractable. To that end, this paper investigates order reduction (MOR) methods objective performing post-reduction feedback control. The presented investigation focuses on reducing state-dimension by orders magnitude, stability MOR methods, application these predictive