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JOURNALS // Avtomatika i Telemekhanika // Archive

Avtomat. i Telemekh., 2009 Issue 8, Pages 70–83 (Mi at514)

This article is cited in 6 papers

Stochastic Systems

Optimal preposterior observation of dynamic systems

R. Gabasova, F. M. Kirillovab, E. I. Poyasoka

a Belarus State University, Minsk, Belarus
b Institute of Mathematics, Belarus National Academy of Sciences, Minsk, Belarus

Abstract: Consideration was given to the problem of optimal observation which accompanies the problem of optimal control under multiple uncertainties using feedforward, feedback and combined, closable and closed, loops. Sets of the initial and current preposterior distributions of the terminal state of the dynamic system were introduced. Problems of linear programming were formulated to evaluate these sets. Positional solution of the optimal observation problem which may be used for positional solution of the optimal control problem under multiple uncertainties was established relying on the current preposterior distribution. A method of positional solution of the optimal observation problem using the optimal estimator which in real time generates the current values of the positional solution was proposed. The results obtained were illustrated by an example.

PACS: 02.30.Yy, 07.05.Dz

Presented by the member of Editorial Board: B. M. Miller

Received: 01.12.2008


 English version:
Automation and Remote Control, 2009, 70:8, 1327–1339

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