Abstract
The problem of state estimation in a distributed parameter system using discretization at the end and discretization at the beginning using finite element method has been considered. The distributed Kalman—Bucy filter algorithm of a diffusion process is solved numerically by the finite element method. The state-estimation problem of the same process is also solved by first approximating the diffusion process by a lumped model and then using the Kalman filter algorithm. This method is seen to be simpler in terms of computational effort and yields fairly accurate results.
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