Robust nonlinear sampled-data system analysis based on Fridman’s method and S-procedure

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Robust nonlinear sampled-data system analysis based on Fridman’s method and S-procedure. / Seifullaev, Ruslan E.; Fradkov, Alexander L.

In: International Journal of Robust and Nonlinear Control, Vol. 26, No. 2, 2016, p. 201-217.

Research output: Contribution to journal › Article

BibTeX

@article{711b2493f74e4ddf816e8038e56a17f2,

title = "Robust nonlinear sampled-data system analysis based on Fridman{\textquoteright}s method and S-procedure",

abstract = "This paper is devoted to the evaluation of sampling interval providing robust exponential stability of nonlinear system with sector-bounded nonlinearities. It extends our previous results (R. E. Seifullaev, A. L. Fradkov. Sampled-data control of nonlinear oscillations based on LMIs and Fridman{\textquoteright}s method. In 5th IFAC International Workshop on Periodic Control Systems, 95-100. Caen, France. 2013). The proposed approach exploits E. Fridman{\textquoteright}s method for linear systems based on a general time-dependent Lyapunov– Krasovskii functional.With classical results of V. A. Yakubovich about S-procedure, the problem is reduced to feasibility analysis of linear matrix inequalities. The results are illustrated by example: the pendulum system with friction and sector-bounded multiple nonlinearities.",

keywords = "nonlinear control, robustness, Lyapunov–Krasovskii functional, S-procedure, LMI",

author = "Seifullaev, {Ruslan E.} and Fradkov, {Alexander L.}",

year = "2016",

doi = "10.1002/rnc.3304",

language = "English",

volume = "26",

pages = "201--217",

journal = "International Journal of Robust and Nonlinear Control",

issn = "1049-8923",

publisher = "Wiley-Blackwell",

number = "2",

}

RIS

TY - JOUR

T1 - Robust nonlinear sampled-data system analysis based on Fridman’s method and S-procedure

AU - Seifullaev, Ruslan E.

AU - Fradkov, Alexander L.

PY - 2016

Y1 - 2016

N2 - This paper is devoted to the evaluation of sampling interval providing robust exponential stability of nonlinear system with sector-bounded nonlinearities. It extends our previous results (R. E. Seifullaev, A. L. Fradkov. Sampled-data control of nonlinear oscillations based on LMIs and Fridman’s method. In 5th IFAC International Workshop on Periodic Control Systems, 95-100. Caen, France. 2013). The proposed approach exploits E. Fridman’s method for linear systems based on a general time-dependent Lyapunov– Krasovskii functional.With classical results of V. A. Yakubovich about S-procedure, the problem is reduced to feasibility analysis of linear matrix inequalities. The results are illustrated by example: the pendulum system with friction and sector-bounded multiple nonlinearities.

AB - This paper is devoted to the evaluation of sampling interval providing robust exponential stability of nonlinear system with sector-bounded nonlinearities. It extends our previous results (R. E. Seifullaev, A. L. Fradkov. Sampled-data control of nonlinear oscillations based on LMIs and Fridman’s method. In 5th IFAC International Workshop on Periodic Control Systems, 95-100. Caen, France. 2013). The proposed approach exploits E. Fridman’s method for linear systems based on a general time-dependent Lyapunov– Krasovskii functional.With classical results of V. A. Yakubovich about S-procedure, the problem is reduced to feasibility analysis of linear matrix inequalities. The results are illustrated by example: the pendulum system with friction and sector-bounded multiple nonlinearities.

KW - nonlinear control

KW - robustness

KW - Lyapunov–Krasovskii functional

KW - S-procedure

KW - LMI

U2 - 10.1002/rnc.3304

DO - 10.1002/rnc.3304

M3 - Article

VL - 26

SP - 201

EP - 217

JO - International Journal of Robust and Nonlinear Control

JF - International Journal of Robust and Nonlinear Control

SN - 1049-8923

IS - 2

ER -

ID: 7548472