Application of Boundary Observer for Linear Hyperbolic Systems in Oil Pipeline based on MacCormack’ Method

Abstract

This paper is concerned with the application of linear hyperbolic system equations in oil pipelines. In order to overcome the shortcomings of practical measurement difficulties and facilitate the application, a linear hyperbolic boundary observer is constructed. This hyperbolic boundary observer can directly apply the relevant knowledge of control theory. Then the feasibility of the observer is proved by the error system and the original system satisfying the exponential convergence by MacCormack’ method. Emphasis on the application of MacCormack algorithm in linear hyperbolic equations and the correctness of the theory is consequently verified by numerical simulation.