Kalman filtering of gauges noise on the creep behavior of Entandrophragma cylindricum (Sapelli) under a constant stress

In this work, we drew the experimental or the true creep-recovery curves of Entandrophragma cylindricum known as sapelli from the values obtained during many four points flexural tests carried out on several samples of this hardwood. Thereafter, the experimental values have been perturbed by the white Gaussian noise of the gauges and this allowed us to draw the noisy curves of deformations. The creep test lasted ten hours and the recovery forty hours. Our main target in this work was to implement the recursive discrete Kalman filter, in order to predict or to estimate the deformation of this species undergoing a constant stress. From the simulation, since our estimate and our state have the same expected value, then our estimate is not biased. The true deformation and the estimated deformation curves are almost too close to distinguish from one another. Once the Kalman filter applied to our system satisfied these two preceding criteria, we are able to mention that our estimator has a good response therefore, it is an optimal filter.