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Sampled-Data Control of Nonlinear Oscillations Based on LMIs and Fridman's Method. / Seifullaev, R.E.; Fradkov, A.L.

Sampled-Data Control of Nonlinear Oscillations Based on LMIs and Fridman's Method. 2013. p. 95-100.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research

Harvard

Seifullaev, RE & Fradkov, AL 2013, Sampled-Data Control of Nonlinear Oscillations Based on LMIs and Fridman's Method. in Sampled-Data Control of Nonlinear Oscillations Based on LMIs and Fridman's Method. pp. 95-100. https://doi.org/10.3182/20130703-3-FR-4039.00024

APA

Seifullaev, R. E., & Fradkov, A. L. (2013). Sampled-Data Control of Nonlinear Oscillations Based on LMIs and Fridman's Method. In Sampled-Data Control of Nonlinear Oscillations Based on LMIs and Fridman's Method (pp. 95-100) https://doi.org/10.3182/20130703-3-FR-4039.00024

Vancouver

Seifullaev RE, Fradkov AL. Sampled-Data Control of Nonlinear Oscillations Based on LMIs and Fridman's Method. In Sampled-Data Control of Nonlinear Oscillations Based on LMIs and Fridman's Method. 2013. p. 95-100 https://doi.org/10.3182/20130703-3-FR-4039.00024

Author

Seifullaev, R.E. ; Fradkov, A.L. / Sampled-Data Control of Nonlinear Oscillations Based on LMIs and Fridman's Method. Sampled-Data Control of Nonlinear Oscillations Based on LMIs and Fridman's Method. 2013. pp. 95-100

BibTeX

@inproceedings{166dbcf02aa2403181abf07d68d3d54f,
title = "Sampled-Data Control of Nonlinear Oscillations Based on LMIs and Fridman's Method",
abstract = "Emilia Fridman's method based on time-dependent Lyapunov-Krasovsii functionals is extended to nonlinear control systems with sector bounded nonlinearity. Furthermore, this paper considers sampled-data feedback control under uncertain sampling with the known upper bound on the sampling intervals, where the control function is multiplied by bounded scalar nonlinear function in system equation. This special case corresponds to many oscillator control systems, for example, cart-pendulum system. The problem is reduced to feasibility analysis of linear matrix inequalities based on classical results of V.A. Yakubovich about S-procedure.",
keywords = "nonlinear control systems, oscillators, sampled-data control, LMI",
author = "R.E. Seifullaev and A.L. Fradkov",
year = "2013",
doi = "10.3182/20130703-3-FR-4039.00024",
language = "English",
isbn = "9783902823380",
pages = "95--100",
booktitle = "Sampled-Data Control of Nonlinear Oscillations Based on LMIs and Fridman's Method",

}

RIS

TY - GEN

T1 - Sampled-Data Control of Nonlinear Oscillations Based on LMIs and Fridman's Method

AU - Seifullaev, R.E.

AU - Fradkov, A.L.

PY - 2013

Y1 - 2013

N2 - Emilia Fridman's method based on time-dependent Lyapunov-Krasovsii functionals is extended to nonlinear control systems with sector bounded nonlinearity. Furthermore, this paper considers sampled-data feedback control under uncertain sampling with the known upper bound on the sampling intervals, where the control function is multiplied by bounded scalar nonlinear function in system equation. This special case corresponds to many oscillator control systems, for example, cart-pendulum system. The problem is reduced to feasibility analysis of linear matrix inequalities based on classical results of V.A. Yakubovich about S-procedure.

AB - Emilia Fridman's method based on time-dependent Lyapunov-Krasovsii functionals is extended to nonlinear control systems with sector bounded nonlinearity. Furthermore, this paper considers sampled-data feedback control under uncertain sampling with the known upper bound on the sampling intervals, where the control function is multiplied by bounded scalar nonlinear function in system equation. This special case corresponds to many oscillator control systems, for example, cart-pendulum system. The problem is reduced to feasibility analysis of linear matrix inequalities based on classical results of V.A. Yakubovich about S-procedure.

KW - nonlinear control systems

KW - oscillators

KW - sampled-data control

KW - LMI

U2 - 10.3182/20130703-3-FR-4039.00024

DO - 10.3182/20130703-3-FR-4039.00024

M3 - Conference contribution

SN - 9783902823380

SP - 95

EP - 100

BT - Sampled-Data Control of Nonlinear Oscillations Based on LMIs and Fridman's Method

ER -

ID: 7407525