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STABILIZATION OF NONLINEAR LIPSCHITZ SYSTEMS WITH INPUT DELAY AND DISTURBANCES USING STATE AND DISTURBANCE PREDICTORS. / Dang, T.D.; Nguyen, B.H.; Furtat, I.B.; Gushchin, P.; Dao, A.Q.; Bui, M.D.; Wen, X.

в: Cybernetics and Physics, Том 14, № 1, 2025, стр. 32-39.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Dang, TD, Nguyen, BH, Furtat, IB, Gushchin, P, Dao, AQ, Bui, MD & Wen, X 2025, 'STABILIZATION OF NONLINEAR LIPSCHITZ SYSTEMS WITH INPUT DELAY AND DISTURBANCES USING STATE AND DISTURBANCE PREDICTORS', Cybernetics and Physics, Том. 14, № 1, стр. 32-39. https://doi.org/10.35470/2226-4116-2024-14-1-32-39

APA

Dang, T. D., Nguyen, B. H., Furtat, I. B., Gushchin, P., Dao, A. Q., Bui, M. D., & Wen, X. (2025). STABILIZATION OF NONLINEAR LIPSCHITZ SYSTEMS WITH INPUT DELAY AND DISTURBANCES USING STATE AND DISTURBANCE PREDICTORS. Cybernetics and Physics, 14(1), 32-39. https://doi.org/10.35470/2226-4116-2024-14-1-32-39

Vancouver

Dang TD, Nguyen BH, Furtat IB, Gushchin P, Dao AQ, Bui MD и пр. STABILIZATION OF NONLINEAR LIPSCHITZ SYSTEMS WITH INPUT DELAY AND DISTURBANCES USING STATE AND DISTURBANCE PREDICTORS. Cybernetics and Physics. 2025;14(1):32-39. https://doi.org/10.35470/2226-4116-2024-14-1-32-39

Author

Dang, T.D. ; Nguyen, B.H. ; Furtat, I.B. ; Gushchin, P. ; Dao, A.Q. ; Bui, M.D. ; Wen, X. / STABILIZATION OF NONLINEAR LIPSCHITZ SYSTEMS WITH INPUT DELAY AND DISTURBANCES USING STATE AND DISTURBANCE PREDICTORS. в: Cybernetics and Physics. 2025 ; Том 14, № 1. стр. 32-39.

BibTeX

@article{421c94b36b3347ea8e46e17059d564e8,
title = "STABILIZATION OF NONLINEAR LIPSCHITZ SYSTEMS WITH INPUT DELAY AND DISTURBANCES USING STATE AND DISTURBANCE PREDICTORS",
abstract = "This paper proposes an algorithm for stabilizing nonlinear Lipschitz systems with a known constant input delay and an unknown bounded disturbance. The control law is designed based on both a state predictor and a disturbance predictor. The stability of the closed-loop system is established using the Lyapunov-Krasovskii functional method, which provides sufficient conditions in the form of a feasible linear matrix inequality (LMI). The ultimate boundedness of all system signals is formally proven. Furthermore, it is shown that the derived LMI is influenced by system parameters, sector bounds of the nonlinearity, and the delay, allowing for the determination of their limit values while ensuring system stability. The effectiveness of the proposed approach is validated through numerical simulations in MATLAB/Simulink. {\textcopyright} 2025, Institute for Problems in Mechanical Engineering, Russian Academy of Sciences. All rights reserved.",
keywords = "disturbance predictor, input delay, LMI, Lyapunov-Krasovskii functional method, nonlinear lipschitz system, state predictor",
author = "T.D. Dang and B.H. Nguyen and I.B. Furtat and P. Gushchin and A.Q. Dao and M.D. Bui and X. Wen",
note = "Export Date: 19 February 2026; Cited By: 0",
year = "2025",
doi = "10.35470/2226-4116-2024-14-1-32-39",
language = "Английский",
volume = "14",
pages = "32--39",
journal = "Cybernetics and Physics",
issn = "2223-7038",
publisher = "IPACS",
number = "1",

}

RIS

TY - JOUR

T1 - STABILIZATION OF NONLINEAR LIPSCHITZ SYSTEMS WITH INPUT DELAY AND DISTURBANCES USING STATE AND DISTURBANCE PREDICTORS

AU - Dang, T.D.

AU - Nguyen, B.H.

AU - Furtat, I.B.

AU - Gushchin, P.

AU - Dao, A.Q.

AU - Bui, M.D.

AU - Wen, X.

N1 - Export Date: 19 February 2026; Cited By: 0

PY - 2025

Y1 - 2025

N2 - This paper proposes an algorithm for stabilizing nonlinear Lipschitz systems with a known constant input delay and an unknown bounded disturbance. The control law is designed based on both a state predictor and a disturbance predictor. The stability of the closed-loop system is established using the Lyapunov-Krasovskii functional method, which provides sufficient conditions in the form of a feasible linear matrix inequality (LMI). The ultimate boundedness of all system signals is formally proven. Furthermore, it is shown that the derived LMI is influenced by system parameters, sector bounds of the nonlinearity, and the delay, allowing for the determination of their limit values while ensuring system stability. The effectiveness of the proposed approach is validated through numerical simulations in MATLAB/Simulink. © 2025, Institute for Problems in Mechanical Engineering, Russian Academy of Sciences. All rights reserved.

AB - This paper proposes an algorithm for stabilizing nonlinear Lipschitz systems with a known constant input delay and an unknown bounded disturbance. The control law is designed based on both a state predictor and a disturbance predictor. The stability of the closed-loop system is established using the Lyapunov-Krasovskii functional method, which provides sufficient conditions in the form of a feasible linear matrix inequality (LMI). The ultimate boundedness of all system signals is formally proven. Furthermore, it is shown that the derived LMI is influenced by system parameters, sector bounds of the nonlinearity, and the delay, allowing for the determination of their limit values while ensuring system stability. The effectiveness of the proposed approach is validated through numerical simulations in MATLAB/Simulink. © 2025, Institute for Problems in Mechanical Engineering, Russian Academy of Sciences. All rights reserved.

KW - disturbance predictor

KW - input delay

KW - LMI

KW - Lyapunov-Krasovskii functional method

KW - nonlinear lipschitz system

KW - state predictor

U2 - 10.35470/2226-4116-2024-14-1-32-39

DO - 10.35470/2226-4116-2024-14-1-32-39

M3 - статья

VL - 14

SP - 32

EP - 39

JO - Cybernetics and Physics

JF - Cybernetics and Physics

SN - 2223-7038

IS - 1

ER -

ID: 149332634