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JOURNALS // Trudy Instituta Matematiki i Mekhaniki UrO RAN // Archive

Trudy Inst. Mat. i Mekh. UrO RAN, 2025 Volume 31, Number 2, Pages 108–124 (Mi timm2177)

Optimal Closed-Loop Measurement Feedback in a Linear Optimal Control Problem

N. M. Dmitruk

Belarusian State University, Minsk

Abstract: This paper deals with a terminal problem of optimal guaranteed control for a linear continuous system with disturbances whose output signals are measured with a bounded error. We formulate a problem of constructing an optimal multi-closed control strategy, and define an optimal closed-loop measurement feedback on its basis. Algorithms for calculating optimal strategies and for implementing optimal closed-loop feedback in real time are proposed.

Keywords: linear system, disturbances, measurements, robust optimal control, control strategy, feedback, computational algorithm

UDC: 517.977.5; 519.6; 004.02

MSC: 93C05, 34H05, 49N05, 93B52, 49L20

Received: 15.02.2025
Revised: 17.04.2025
Accepted: 21.04.2025

DOI: 10.21538/0134-4889-2025-31-2-108-124


 English version:
Proceedings of the Steklov Institute of Mathematics (Supplement Issues), 2025, 329\nofrills suppl. 1, S77–S92

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© Steklov Math. Inst. of RAS, 2026