engleski

Deformation Analysis With Modified Kalman-Filters

Kalman filtering can be considered a suitable tool for deformation analysis as it is a multipleinput, multiple-output digital filter that can optimally estimate, in real time, the states of a system based on its noisy outputs. The states are all the variables needed to completely describe the system behaviour of the deformation process as a function of time (such as position, velocity, ...). One can think of the multiple noisy outputs as a multidimensional signal plus noise with the system states being the desired unknown signals. The Kalman filter filters the noisy measurements to estimate the desired signals. The estimates are statistically optimal as they minimize the mean square estimation error. The standard Kalman filter is a a low-pass filter. Therefore it can only be applied for the estimation of low frequency deformation signals. However, in many cases, the deformation process is described by a very complex spectrum of high and low frequency signals. With this publication will be shown, how modified Kalman filters can meet these requirements. The modified filters are based on the correlation functions of the processes. Measurements, taken with a multi sensor hydrostatic levelling system in a nuclear power station, are used to clarify the concepts.

kalman filter; deformation

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