An algebraic observer for Leak Detection and Isolation in plastic pipelines

In the continuation of authors' studies on leak diagnosis in pipelines, a new model-based Leak Detection and Isolation (LDI) algorithm is designed. This system only uses measures of flow and pressure coming from sensors placed at the ends of a pipeline. The present approach is based on a finite nonlinear pipeline model, and extended with variables related to the leak. On this basis, the purpose here is to investigate the use of a so-called algebraic observer to estimate the leak position and its magnitude. The corresponding observer design is thus presented, and its performances are illustrated both with simulation results, and experimental ones, with data taken from a real pipeline prototype.

[1]  Adrián Navarro,et al.  Calibration of Fitting Loss Coefficients for modelling purpose of a plastic pipeline , 2011, ETFA2011.

[2]  M. Fliess,et al.  Nonlinear observability, identifiability, and persistent trajectories , 1991, [1991] Proceedings of the 30th IEEE Conference on Decision and Control.

[3]  James A. Liggett,et al.  What Is Hydraulic Engineering , 2002 .

[4]  O. Begovich,et al.  Examples of pipeline monitoring with nonlinear observers and real-data validation , 2011 .

[5]  M. Eiswirth,et al.  New methods for defect diagnosis of water pipelines , 2001 .

[6]  A. Y. Allidina,et al.  Leak detection and location in gas pipelines , 1988 .

[7]  M. Fliess,et al.  An algebraic framework for linear identification , 2003 .

[8]  Cédric Join,et al.  Numerical differentiation with annihilators in noisy environment , 2009, Numerical Algorithms.

[9]  Cédric Join,et al.  Algebraic change-point detection , 2009, Applicable Algebra in Engineering, Communication and Computing.

[10]  M. Fliess,et al.  A revised look at numerical differentiation with an application to nonlinear feedback control , 2007, 2007 Mediterranean Conference on Control & Automation.

[11]  M. Fliess,et al.  On non-asymptotic observation of nonlinear systems , 2005, Proceedings of the 44th IEEE Conference on Decision and Control.

[12]  Rolf Isermann,et al.  Leak detection methods for pipelines , 1984, Autom..

[13]  Ofelia Begovich,et al.  Direct observer design for leak detection and estimation in pipelines , 2007, 2007 European Control Conference (ECC).

[14]  Cristina Verde Accommodation of Multi-Leak Positions in a Pipeline , 2003 .

[15]  Maria Cristina Verde Rodarte Accommodation of multi-leak location in a pipeline , 2005 .

[16]  Cédric Join,et al.  Model-free control and intelligent PID controllers: towards a possible trivialization of nonlinear control? , 2009, ArXiv.

[17]  Fliess Michel,et al.  Control via state estimations of some nonlinear systems , 2004 .

[18]  Cédric Join,et al.  Non-linear estimation is easy , 2007, Int. J. Model. Identif. Control..

[19]  A. Krener,et al.  Nonlinear controllability and observability , 1977 .

[20]  Johann Reger,et al.  On algebraic time-derivative estimation and deadbeat state reconstruction , 2007, Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference.

[21]  Didier Georges,et al.  Multi-leak estimator for pipelines based on an orthogonal collocation model , 2009, Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference.

[22]  O. Begovich,et al.  Online implementation of a leak isolation algorithm in a plastic pipeline prototype , 2012 .