2020/03/03 by Ramsey Shadfan, Shen Wang, Shadfan, Ramsey +7
Decision Sciences · Engineering · Environmental Science · #FOS: Electrical engineering #FOS: Mathematics #Groundwater flow and contamination studies #Optimization and Control (math.OC) #Probabilistic and Robust Engineering Design #Systems and Control (eess.SY) #Water Systems and Optimization #Water resources management and optimization #electronic engineering #information engineering
paper · pdf · doi:10.48550/arxiv.2003.01837
openalex publication_date 2020/03/03 · openalex created_date 2022/07/26 · openalex updated_date 2026/07/28
Drinking water distribution networks (WDN) are large-scale, dynamic systems\nspanning large geographic areas. Water networks include various components such\nas junctions, reservoirs, tanks, pipes, pumps, and valves. Hydraulic models for\nthese components depicting mass and energy balance form nonlinear algebraic\ndifferential equations (NDAE). While control theoretic studies have been\nthoroughly explored for other complex infrastructure such as power and\ntransportation systems, little is understood or even investigated for feedback\ncontrol and state estimation problems for the NDAE models of WDN. The objective\nof this letter is to showcase a complete NDAE model of WDN followed by\ncomputing Lipschitz constants of the vector-valued nonlinearity in that model.\nThe computation of Lipschitz constants of hydraulic models is crucial as it\npaves the way to apply a plethora of control-theoretic studies for water system\napplications. In particular, the computation of Lipschitz constant is explored\nthrough closed-form, analytical expressions as well as via numerical methods.\nCase studies reveal how such computations fare against each other for various\nwater networks.\n