OBSERVER DESIGN USING BOUNDARY INJECTIONS FOR PIPELINE MONITORING AND LEAK DETECTION

OBSERVER DESIGN USING BOUNDARY INJECTIONS FOR PIPELINE MONITORING AND LEAK DETECTION

Adaptive systems

Observers

Partial differential equations

Pipeline leaks

We design a leak detection system consisting of an adaptive Luenberger-type observer based on a set of two coupled one dimensional first order nonlinear hyperbolic partial differential equations governing the flow dynamics. It is assumed that measurements are only available at the inlet and outlet of the pipe, and output injection is applied in the form of boundary conditions. For the linearized model without friction and leak, exponential convergence of the state estimates to the plant state is shown by Lyapunovs method. The observer design is performed for the continuum model, ensuring that convergence properties established theoretically are not an artifact of the method of discretization. Heuristic update laws for adaptation of the friction coefficient and leak parameters are given, and simulations demonstrate their ability to detect, quantify and locate leaks.

53-58

2

39

Aamo, Ole Morten

Salvesen, Jørgen

Foss, Bjarne A.

6th IFAC Symposium on Advanced Control of Chemical Processes

2006

journalArticle

1474-6670

10.3182/20060402-4-BR-2902.00053