Premium
KALMAN‐FILTER‐BASED OBSERVER DESIGN AROUND OPTIMAL CONTROL POLICY FOR GAS PIPELINES
Author(s) -
Durgut İsmai̇l,
Leblebi̇ci̇oğlu Kemal
Publication year - 1997
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/(sici)1097-0363(19970130)24:2<233::aid-fld494>3.0.co;2-5
Subject(s) - observer (physics) , control theory (sociology) , kalman filter , alpha beta filter , pipeline transport , controller (irrigation) , state observer , state space representation , pipeline (software) , extended kalman filter , engineering , computer science , mathematics , mathematical optimization , moving horizon estimation , nonlinear system , algorithm , statistics , control (management) , physics , agronomy , quantum mechanics , artificial intelligence , environmental engineering , biology , mechanical engineering
Seeking the optimal operating policy by an off‐line controller for pipelines carrying natural gas has an inherent state estimation problem associated with deviations from demand forecast. This paper presents a Kalman‐filter‐based observer for the real‐time estimation of deviations from the states previously obtained by an off‐line controller optimally, around an expected demand function. The observer is based on the linearized form of the non‐linear partial differential equations which are the state space representation of isothermal and unidirectional gas flow through a pipeline. Data for the observer are produced by a dynamic simulator. The simulator and linearized observer equations are solved using an implicit finite element method. The observer has been tested on a pipeline subject to certain deviations from demand forecast. It converge s in a short span of time. © 1997 by John Wiley & Sons, Ltd.