抄録
In hydraulic problems, we often encounter nonlinear problems in porous media, for example, dam and percolation problems [1], [2]. Such problems are simply called the filtration problem. This paper is concerned with the state estimation in the filtration problem under the noisy observation. First, the mathematical model of the system dynamics is given and the existence of the unique solution of the system equation is proved. Secondly, based on the noisy boundary observation, the estimator dynamics is derived by using the nonlinear estimation theory and the approximation technique for the nonlinear estimator dynamics is proposed. Finally, the efficiency of the approximation is shown through the numerical example.
