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

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 t...

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Bibliographic Details
Published in:Differential equations 2021-11, Vol.57 (11), p.1468-1480
Main Author: Maksimov, V. I.
Format: Article
Language:English
Subjects:
Algorithms
Control Theory
Difference and Functional Equations
Differential equations
Feedback control
Mathematical analysis
Mathematics
Mathematics and Statistics
Ordinary Differential Equations
Partial Differential Equations
Trajectory control
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Summary: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.
ISSN:0012-2661
1608-3083
DOI:10.1134/S0012266121110070