Leak Detection and Localization in Pipeline System

Abstract

This paper presents leak detection and localization in the pipeline system. We proposed the Finite Memory Observer (FMO) because it has finite-time convergence. We have realized the leak detection in the pipeline system and proven it. To detect and localize the leak, we presented the scheme with two FMOs coupled with Luenberger Observer (LO). The first FMO (called FMO detection or FMO <inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">1</inf> ) is used to detect the leak, and if a leak is detected, then LO is utilized to have fast leak localization and amplitude estimation of the leak. At each time, the leak localization and amplitude become time-varying. The take into account of time-variant is beneficial and utilized to feed the second FMO (called FMO localization or FMO <inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</inf> ) to update leak localization adaptatively. In other words, FMO forced the LO to upgrade its capability. The update continuously happened to both of the coupled observers, so leaks were detected and located accurately in finite time. The effectiveness and robustness of the proposed schemes are both analyzed via the simulation.