Abstract
We study a control problem under the conditions of inaccurate measurement of part of the state coordinates of a system of linear ordinary differential equations. The essence of the problem is to construct an algorithm for generating a feedback control ensuring that the trajectory of a given system traces the trajectory of another system subject to the influence of an unknown disturbance that is a function of time with square integrable Euclidean norm. The cases of both time-continuous and sampled measurements are considered. We indicate a set of algorithms for solving the problem that are robust under information interference and computational errors and are based on the constructions of guaranteed control theory. Each of the algorithms is focused on its own information conditions regarding the dynamics of the system and the measured coordinates.
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Translated by V. Potapchouck
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Maksimov, V.I. On Guaranteed Control of a Linear System of Differential Equations with Incomplete Information about State Coordinates. Diff Equat 57, 1468–1480 (2021). https://doi.org/10.1134/S0012266121110070
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DOI: https://doi.org/10.1134/S0012266121110070