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JOURNALS // Upravlenie Bol'shimi Sistemami // Archive

UBS, 2022 Issue 100, Pages 59–77 (Mi ubs1125)

Mathematical Control Theory

Adaptive disturbance compensation for mimo system with control delay

Kh. T. Nguyen, S. M. Vlasov

ITMO University, Saint Petersburg

Abstract: The paper considers the problem of compensation of multisinusoidal disturbances for linear MIMO system with delay in control. The problem of compensation of external disturbances for linear multichannel objects with delay at the input is important and relevant. A solution to this problem is proposed in problems of control of dynamic objects and in a number of others. The proposed method is based on the principle of indirect adaptation, where it is necessary to identify the perturbation parameters. At the first stage, a scheme for extracting a perturbation is described, which is represented as a sinusoidal signal with an unknown frequency, amplitude, and phase. At the second stage, the problem of identifying the frequencies of sinusoidal and multisinusoidal signals is solved. At the last stage, an object stabilization algorithm was developed, implemented using feedback. This paper presents a new scheme for compensating external disturbances for linear multichannel plants with input delay. A new algorithm for identifying the frequencies of a multisinusoidal signal is proposed. The analysis of the possibilities of the proposed estimation method using computer simulation in the MATLAB Simulink environment is carried out. The developed method can be effectively applied to a wide class of applied tasks related to the control of robots, manipulators for various purposes.

Keywords: adaptive control, MIMO systems, identification, multisinusoidal signal, delay.

UDC: 681.51
BBK: 32.965

Received: October 11, 2022
Published: November 30, 2022

DOI: 10.25728/ubs.2022.100.3



© Steklov Math. Inst. of RAS, 2026