Effective algorithm for choosing an optimal program of measurements with constraints on errors in the estimation of several parameters

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Error Analysis, Parameter Identification, Simplex Method, Thrust Vector Control, Trajectory Measurement, Trajectory Optimization, Constraints, Linear Programming, Specific Impulse, Tracking Problem, Variance (Statistics)

Scientific paper

The paper examines the Elfving (1952) problem involving the choice of a program of trajectory measurements from a given set of possible measurements with uncorrelated errors. The program consists in the minimization of measurement costs for given constraints on the variance of errors in the estimation of r parameters. An effective algorithm for solving this problem for the case of r greater than 1 is presented. This algorithm involves a specially constructed problem concerning generalized linear impulse correction and a version of the simplex method used to solve it.

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