Set-Valued Nonlinear Estimation Using the Galerkin Approximation
نویسندگان
چکیده
A set-valued state estimator for nonlinear dynamic systems is presented. The estimator uses the Galerkin approximation to solve Kolmogorov's equation for the diiusion of a continuous time continuous state non-linear system, as well as for implementing discrete time updates of noisy measurements. This ltering of the state is accomplished for a convex set of distributions simultaneously and a functional representation of the set of resulting means is provided at any desired time instance.
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