Standard

Accuracy of Fridman's Estimates for Sampling Interval: A Nonlinear System Case Study. / Usik, Egor; Seifullaev, Ruslan; Fradkov, Alexander L.; Bryntseva, Tatiana.

In: IFAC Proceedings Volumes (IFAC-PapersOnline), Vol. 19, No. 1, 2014, p. 11165-11170.

Research output: Contribution to journalArticle

Harvard

Usik, E, Seifullaev, R, Fradkov, AL & Bryntseva, T 2014, 'Accuracy of Fridman's Estimates for Sampling Interval: A Nonlinear System Case Study', IFAC Proceedings Volumes (IFAC-PapersOnline), vol. 19, no. 1, pp. 11165-11170. https://doi.org/10.3182/20140824-6-ZA-1003.02022

APA

Vancouver

Author

Usik, Egor ; Seifullaev, Ruslan ; Fradkov, Alexander L. ; Bryntseva, Tatiana. / Accuracy of Fridman's Estimates for Sampling Interval: A Nonlinear System Case Study. In: IFAC Proceedings Volumes (IFAC-PapersOnline). 2014 ; Vol. 19, No. 1. pp. 11165-11170.

BibTeX

@article{7c9607b85e0d4e0fbc772f7b0fa80d76,
title = "Accuracy of Fridman's Estimates for Sampling Interval: A Nonlinear System Case Study",
abstract = "An attempt to evaluate accuracy of Fridman's sampling interval estimates for nonlinear discrete-continuous systems where the controlled plant belongs to a class of cascade passifiable Lurie systems. Numerical results obtained for master-slave configuration of two mobile robots demonstrate good accuracy of Fridman's estimates: error of the sampling interval estimate is less than 25% of the value obtained from extensive simulation. In contrast, the error obtained by conventional method from quadratic Lyapunov function is more than 75% of the value obtained from simulation.",
keywords = "Stability of nonlinear systems, Passivity-based control, Networked systems",
author = "Egor Usik and Ruslan Seifullaev and Fradkov, {Alexander L.} and Tatiana Bryntseva",
year = "2014",
doi = "10.3182/20140824-6-ZA-1003.02022",
language = "English",
volume = "19",
pages = "11165--11170",
journal = "IFAC-PapersOnLine",
issn = "2405-8971",
publisher = "Elsevier",
number = "1",

}

RIS

TY - JOUR

T1 - Accuracy of Fridman's Estimates for Sampling Interval: A Nonlinear System Case Study

AU - Usik, Egor

AU - Seifullaev, Ruslan

AU - Fradkov, Alexander L.

AU - Bryntseva, Tatiana

PY - 2014

Y1 - 2014

N2 - An attempt to evaluate accuracy of Fridman's sampling interval estimates for nonlinear discrete-continuous systems where the controlled plant belongs to a class of cascade passifiable Lurie systems. Numerical results obtained for master-slave configuration of two mobile robots demonstrate good accuracy of Fridman's estimates: error of the sampling interval estimate is less than 25% of the value obtained from extensive simulation. In contrast, the error obtained by conventional method from quadratic Lyapunov function is more than 75% of the value obtained from simulation.

AB - An attempt to evaluate accuracy of Fridman's sampling interval estimates for nonlinear discrete-continuous systems where the controlled plant belongs to a class of cascade passifiable Lurie systems. Numerical results obtained for master-slave configuration of two mobile robots demonstrate good accuracy of Fridman's estimates: error of the sampling interval estimate is less than 25% of the value obtained from extensive simulation. In contrast, the error obtained by conventional method from quadratic Lyapunov function is more than 75% of the value obtained from simulation.

KW - Stability of nonlinear systems

KW - Passivity-based control

KW - Networked systems

U2 - 10.3182/20140824-6-ZA-1003.02022

DO - 10.3182/20140824-6-ZA-1003.02022

M3 - Article

VL - 19

SP - 11165

EP - 11170

JO - IFAC-PapersOnLine

JF - IFAC-PapersOnLine

SN - 2405-8971

IS - 1

ER -

ID: 5762857