Estimating the State Vector of a Dynamic System under Uncertainty

Authors:
A. G. Gurko;V. M. Kolodyazhny
Affiliations:
Kharkov National Automobile and Highway University, Kharkov, Ukraine;Kharkov National Automobile and Highway University, Kharkov, Ukraine
Venue:
Cybernetics and Systems Analysis
Year:
2013

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Abstract

We consider the problem of estimating the state of a discrete-time control system with bounded perturbations. A procedure for constructing information sets in the form of polyhedra is proposed that is based on the mathematical theory of R-functions. To optimize the operation of the system, we propose to construct a set of most probable coordinate values of a system state as a set of points equidistant from the geometric boundary of the initial information set.