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Sampled-Data Control of Nonlinear Systems Based on Fridman's Analysis and Passification Design. / Seifullaev, Ruslan E.; Fradkov, Alexander L.

In: IFAC-PapersOnLine, Vol. 48, No. 11, 01.01.2015, p. 685-690.

Research output: Contribution to journal › Article › peer-review

Harvard

Seifullaev, RE & Fradkov, AL 2015, 'Sampled-Data Control of Nonlinear Systems Based on Fridman's Analysis and Passification Design', IFAC-PapersOnLine, vol. 48, no. 11, pp. 685-690. https://doi.org/10.1016/j.ifacol.2015.09.267

APA

Seifullaev, R. E., & Fradkov, A. L. (2015). Sampled-Data Control of Nonlinear Systems Based on Fridman's Analysis and Passification Design. IFAC-PapersOnLine, 48(11), 685-690. https://doi.org/10.1016/j.ifacol.2015.09.267

Vancouver

Seifullaev RE, Fradkov AL. Sampled-Data Control of Nonlinear Systems Based on Fridman's Analysis and Passification Design. IFAC-PapersOnLine. 2015 Jan 1;48(11):685-690. https://doi.org/10.1016/j.ifacol.2015.09.267

Author

Seifullaev, Ruslan E. ; Fradkov, Alexander L. / Sampled-Data Control of Nonlinear Systems Based on Fridman's Analysis and Passification Design. In: IFAC-PapersOnLine. 2015 ; Vol. 48, No. 11. pp. 685-690.

BibTeX

@article{e292f42836ee47d381b7a869ff2e9025,
title = "Sampled-Data Control of Nonlinear Systems Based on Fridman's Analysis and Passification Design",
abstract = "Stability conditions for sampled-data nonlinear control system with linear output feedback are studied. The case of sector bounded nonlinearities and uncertain sampling with the known upper bound on the sampling intervals is considered. Stability analysis is performed by input delay approach based on time-dependent Lyapunov-Krasovskii functionals refined by Emilia Fridman in 2010 (Fridman's method) and extended by Seifullaev and Fradkov in 2013 to nonlinear control systems with sector bounded nonlinearity (Lurie systems). Based on classical results of V.A. Yakubovich about S-procedure the problem is reduced to feasibility analysis of linear matrix inequalities. Linear output feedback controller design is based on the Passification method. The results are illustrated by example showing that both bounds on the sampling interval and accuracy of those bounds depend essentially on the controller choice.",
keywords = "LMI, nonlinear control systems, Passification, passivity, sampled-data control",
author = "Seifullaev, {Ruslan E.} and Fradkov, {Alexander L.}",
year = "2015",
month = jan,
day = "1",
doi = "10.1016/j.ifacol.2015.09.267",
language = "English",
volume = "48",
pages = "685--690",
journal = "IFAC-PapersOnLine",
issn = "2405-8971",
publisher = "Elsevier",
number = "11",

}

RIS

TY - JOUR

T1 - Sampled-Data Control of Nonlinear Systems Based on Fridman's Analysis and Passification Design

AU - Seifullaev, Ruslan E.

AU - Fradkov, Alexander L.

PY - 2015/1/1

Y1 - 2015/1/1

N2 - Stability conditions for sampled-data nonlinear control system with linear output feedback are studied. The case of sector bounded nonlinearities and uncertain sampling with the known upper bound on the sampling intervals is considered. Stability analysis is performed by input delay approach based on time-dependent Lyapunov-Krasovskii functionals refined by Emilia Fridman in 2010 (Fridman's method) and extended by Seifullaev and Fradkov in 2013 to nonlinear control systems with sector bounded nonlinearity (Lurie systems). Based on classical results of V.A. Yakubovich about S-procedure the problem is reduced to feasibility analysis of linear matrix inequalities. Linear output feedback controller design is based on the Passification method. The results are illustrated by example showing that both bounds on the sampling interval and accuracy of those bounds depend essentially on the controller choice.

AB - Stability conditions for sampled-data nonlinear control system with linear output feedback are studied. The case of sector bounded nonlinearities and uncertain sampling with the known upper bound on the sampling intervals is considered. Stability analysis is performed by input delay approach based on time-dependent Lyapunov-Krasovskii functionals refined by Emilia Fridman in 2010 (Fridman's method) and extended by Seifullaev and Fradkov in 2013 to nonlinear control systems with sector bounded nonlinearity (Lurie systems). Based on classical results of V.A. Yakubovich about S-procedure the problem is reduced to feasibility analysis of linear matrix inequalities. Linear output feedback controller design is based on the Passification method. The results are illustrated by example showing that both bounds on the sampling interval and accuracy of those bounds depend essentially on the controller choice.

KW - LMI

KW - nonlinear control systems

KW - Passification

KW - passivity

KW - sampled-data control

UR - http://www.scopus.com/inward/record.url?scp=84992491365&partnerID=8YFLogxK

U2 - 10.1016/j.ifacol.2015.09.267

DO - 10.1016/j.ifacol.2015.09.267

M3 - Article

AN - SCOPUS:84992491365

VL - 48

SP - 685

EP - 690

JO - IFAC-PapersOnLine

JF - IFAC-PapersOnLine

SN - 2405-8971

IS - 11

ER -

ID: 37788994