Standard

Finite-differential nonsmooth speed-gradient control : Stability, passivity, robustness. / Dolgopolik, M. V.; Fradkov, A. L.

в: SIAM Journal on Control and Optimization, Том 59, № 2, 2021, стр. 1370-1392.

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

Harvard

Dolgopolik, MV & Fradkov, AL 2021, 'Finite-differential nonsmooth speed-gradient control: Stability, passivity, robustness', SIAM Journal on Control and Optimization, Том. 59, № 2, стр. 1370-1392. https://doi.org/10.1137/19m1262905

APA

Dolgopolik, M. V., & Fradkov, A. L. (2021). Finite-differential nonsmooth speed-gradient control: Stability, passivity, robustness. SIAM Journal on Control and Optimization, 59(2), 1370-1392. https://doi.org/10.1137/19m1262905

Vancouver

Dolgopolik MV, Fradkov AL. Finite-differential nonsmooth speed-gradient control: Stability, passivity, robustness. SIAM Journal on Control and Optimization. 2021;59(2):1370-1392. https://doi.org/10.1137/19m1262905

Author

Dolgopolik, M. V. ; Fradkov, A. L. / Finite-differential nonsmooth speed-gradient control : Stability, passivity, robustness. в: SIAM Journal on Control and Optimization. 2021 ; Том 59, № 2. стр. 1370-1392.

BibTeX

@article{dd6a39243203433d8c310114a12c9995,
title = "Finite-differential nonsmooth speed-gradient control: Stability, passivity, robustness",
abstract = "New combined finite-differential versions of nonsmooth speed-gradient (SG) algorithms are proposed and examined. Sufficient conditions for stability and robustness of the closed loop system are established. In addition, new passivity definitions suitable for the nonsmooth setting are proposed and passivity of the system with nonsmooth SG algorithms is examined. The proposed finite-differential algorithms possess enhanced dynamic properties and provide extra flexibility for control system design. Particularly, they may operate under a broad uncertainty of plant parameters and disturbances, and they have improved convergence rate and robustness. An illustrative example of adaptive control of Duffing system demonstrates better performance of a combination of smooth and nonsmooth finite-differential SG-algorithms in comparison with performance of the smooth or nonsmooth algorithm.",
keywords = "Duffing system, Nonlinear control, Nonsmooth systems, Passivity, Speed-gradient",
author = "Dolgopolik, {M. V.} and Fradkov, {A. L.}",
note = "Publisher Copyright: {\textcopyright} 2021 Society for Industrial and Applied Mathematics. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.",
year = "2021",
doi = "10.1137/19m1262905",
language = "English",
volume = "59",
pages = "1370--1392",
journal = "SIAM Journal on Control and Optimization",
issn = "0363-0129",
publisher = "Society for Industrial and Applied Mathematics",
number = "2",

}

RIS

TY - JOUR

T1 - Finite-differential nonsmooth speed-gradient control

T2 - Stability, passivity, robustness

AU - Dolgopolik, M. V.

AU - Fradkov, A. L.

N1 - Publisher Copyright: © 2021 Society for Industrial and Applied Mathematics. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.

PY - 2021

Y1 - 2021

N2 - New combined finite-differential versions of nonsmooth speed-gradient (SG) algorithms are proposed and examined. Sufficient conditions for stability and robustness of the closed loop system are established. In addition, new passivity definitions suitable for the nonsmooth setting are proposed and passivity of the system with nonsmooth SG algorithms is examined. The proposed finite-differential algorithms possess enhanced dynamic properties and provide extra flexibility for control system design. Particularly, they may operate under a broad uncertainty of plant parameters and disturbances, and they have improved convergence rate and robustness. An illustrative example of adaptive control of Duffing system demonstrates better performance of a combination of smooth and nonsmooth finite-differential SG-algorithms in comparison with performance of the smooth or nonsmooth algorithm.

AB - New combined finite-differential versions of nonsmooth speed-gradient (SG) algorithms are proposed and examined. Sufficient conditions for stability and robustness of the closed loop system are established. In addition, new passivity definitions suitable for the nonsmooth setting are proposed and passivity of the system with nonsmooth SG algorithms is examined. The proposed finite-differential algorithms possess enhanced dynamic properties and provide extra flexibility for control system design. Particularly, they may operate under a broad uncertainty of plant parameters and disturbances, and they have improved convergence rate and robustness. An illustrative example of adaptive control of Duffing system demonstrates better performance of a combination of smooth and nonsmooth finite-differential SG-algorithms in comparison with performance of the smooth or nonsmooth algorithm.

KW - Duffing system

KW - Nonlinear control

KW - Nonsmooth systems

KW - Passivity

KW - Speed-gradient

UR - http://www.scopus.com/inward/record.url?scp=85104411585&partnerID=8YFLogxK

U2 - 10.1137/19m1262905

DO - 10.1137/19m1262905

M3 - Article

AN - SCOPUS:85104411585

VL - 59

SP - 1370

EP - 1392

JO - SIAM Journal on Control and Optimization

JF - SIAM Journal on Control and Optimization

SN - 0363-0129

IS - 2

ER -

ID: 76601237