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APPLICATION OF ELLIPSOIDS METHOD IN CONTROL AND OBSERVATION PROBLEMS FOR ENSEMBLES OF DYNAMIC SYSTEMS

By Anton Mikhailovich Shmatkov

Abstract

The problems of the control for ensembles of the dynamic systems with uncertain parameters and modelling for process of the guaranteed data filtration obtained as a result of the observations for such systems were investigated. The aim of the work is to formulate and study the partial cases and concrete examples of the control problem for trajectory ensimble by means of the guaranteed ellipsoidal evaluations above achievement set of the dynamic systems at presence of the dependence upon the limited uncertain parameter; to perform the numerical investigation on the possibility of the guaranteed filtration by the ellipsoids method. The methods on the optimal control theory, theory of disturbances and also the computer modelling were used. The case of the inaccurate control realization has been considered, the model problem has been solved. The procedure for constructing the approximated control of the trajectory ensemble at presence of the weak dependence of the system matrix upon the control has been shown, the example has been specified. The possibility for guaranteed division of the motions at filtration by ellipsoids methods has been shown numerically. All the results are new and can be used at solving control problems of the motion and filtration of the given observations in the uncertainity conditionsAvailable from VNTIC / VNTIC - Scientific & Technical Information Centre of RussiaSIGLERURussian Federatio

Topics: 12C - Applied mathematics, 09I - Control systems, control theory, CYBERNETICS, MECHANICS, MATHEMATICS
Year: 1996
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Provided by: OpenGrey Repository
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