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On Guaranteed Control of a Linear System of Differential Equations with Incomplete Information about State Coordinates

On Guaranteed Control of a Linear System of Differential Equations with Incomplete Information... We study a control problem under the conditions of inaccurate measurement of part of thestate coordinates of a system of linear ordinary differential equations. The essence of the problemis to construct an algorithm for generating a feedback control ensuring that the trajectory of agiven system traces the trajectory of another system subject to the influence of an unknowndisturbance that is a function of time with square integrable Euclidean norm. The cases of bothtime-continuous and sampled measurements are considered. We indicate a set of algorithms forsolving the problem that are robust under information interference and computational errors andare based on the constructions of guaranteed control theory. Each of the algorithms is focused onits own information conditions regarding the dynamics of the system and the measuredcoordinates. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Differential Equations Springer Journals

On Guaranteed Control of a Linear System of Differential Equations with Incomplete Information about State Coordinates

Maksimov, V. I.
Differential Equations , Volume 57 (11) – Nov 1, 2021
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Publisher
Springer Journals
Copyright
Copyright © Pleiades Publishing, Ltd. 2021
ISSN
0012-2661
eISSN
1608-3083
DOI
10.1134/s0012266121110070
Publisher site
See Article on Publisher Site

Abstract

We study a control problem under the conditions of inaccurate measurement of part of thestate coordinates of a system of linear ordinary differential equations. The essence of the problemis to construct an algorithm for generating a feedback control ensuring that the trajectory of agiven system traces the trajectory of another system subject to the influence of an unknowndisturbance that is a function of time with square integrable Euclidean norm. The cases of bothtime-continuous and sampled measurements are considered. We indicate a set of algorithms forsolving the problem that are robust under information interference and computational errors andare based on the constructions of guaranteed control theory. Each of the algorithms is focused onits own information conditions regarding the dynamics of the system and the measuredcoordinates.

Journal

Differential Equations – Springer Journals

Published: Nov 1, 2021

References

  • Tracking the solution to a nonlinear distributed differential equation by feedback laws
    Osipov, Yu.C.; Maksimov, V.I.
  • Resource-saving tracking problem with infinite time horizon
    Kryazhimskiy, A.V.; Maksimov, V.I.
  • On an algorithm for tracking the motion of the reference system with aftereffect when only part of the coordinates is measured
    Blizorukova, M.S.; Maksimov, V.I.
  • An algorithm for reconstructing controls in a uniform metric
    Maksimov, V.I.