Abstract
Parameter and state estimation problems are encountered when modeling processes that involve uncertain quantities to be estimated from measurements. The aim of this paper was to show the interval arithmetic approach as the suitable tool to solve problems of estimating the parameters of nonlinear systems in a bounded-error context. Perturbations are assumed bounded but otherwise unknown. This approach computes outer (or inner) approximations of the set of all parameters. An example of planar robot manipulator is presented to illustrate the effectiveness and potential of an interval approach in parameter’s estimation. A simulation is conducted to compare these estimates in terms of mean squared.
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