Browsing NTNU Open by Author "Wilhelmsen, Nils Christian Aars"
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Explicit Backstepping Kernel Solutions for Leak Detection in Branched Pipe Flows
Wilhelmsen, Nils Christian Aars; Aamo, Ole Morten (Peer reviewed; Journal article, 2023) -
Explicit Backstepping Kernel Solutions for Leak Detection in Pipe Flow Networks Containing Loops
Wilhelmsen, Nils Christian Aars; Aamo, Ole Morten (Peer reviewed; Journal article, 2023)A recursive procedure to obtain explicit expressions to a set of observer backstepping kernel equations for an interconnection (cascade) of N+1 systems of 2×2 linear hyperbolic PDEs, N>0 an integer, for use in leak detection ... -
Leak detection, size estimation and localization in water distribution networks containing loops
Wilhelmsen, Nils Christian Aars; Aamo, Ole Morten (Journal article, 2022)We consider the problem of leak detection, size estimation and localization of leaks in a water distribution network with ring topology, with flow and pressure measurements taken at junctions only. The pipeline system is ... -
Minimum Time Bilateral Observer Design for 2 x 2 Linear Hyperbolic Systems
Wilhelmsen, Nils Christian Aars; Anfinsen, Henrik; Aamo, Ole Morten (Chapter, 2019)In this paper we derive a minimum time convergent bilateral observer for a 2×2 system of linear coupled first-order 1-D hyperbolic PDEs. First, a Volterra integral transformation is combined with a Fredholm integral ... -
Minimum Time Bilateral Observer Design for 2x2 Systems of Linear Hyperbolic PDEs - With Application to Oil Well Drilling State Estimation for Improved Kick Handling
Wilhelmsen, Nils Christian Aars (Master thesis, 2018)We consider state estimation of 1D systems of 2x2 linear first-order coupled hyperbolic PDEs, consisting of two distributed states propagating information in opposite directions but interacting across the spatial domain. ...