Frequency-domain estimates of the sampling interval in multirate nonlinear systems by time-delay approach

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Frequency-domain estimates of the sampling interval in multirate nonlinear systems by time-delay approach. / Bryntseva, T. A.; Fradkov, A. L.

в: International Journal of Control, Том 92, № 9, 02.09.2019, стр. 1985-1992.

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

BibTeX

@article{9b8897a241f5407aaf17590b386b9b14,

title = "Frequency-domain estimates of the sampling interval in multirate nonlinear systems by time-delay approach",

abstract = "A class of nonlinear hybrid systems consisting of a continuous plant and a multirate sampled-data controller is considered. Applying the time-delay approach, the system is transformed to the system with a time-varying sawtooth delay. Then, the value of the sampling intervals ensuring stability of the closed-loop system is estimated based on the frequency-domain circle-like criterion for systems with time-varying delay. Such a criterion for multirate MIMO systems is established based on the previous result for SISO systems proposed by M.Churilova in 1995. Efficiency and advantages of the method are illustrated by numerical examples. The key advantage of the proposed approach is that it is applicable to multirate systems nonaffine in control. It allows one to use a nonlinear feedback for stabilisation. Particularly, the case of nonsmooth or discontinuous nonlinear systems can be treated.",

keywords = "frequency domains, hybrid systems, Lyapunov function, multirate systems, sampling intervals, Stability of nonlinear systems",

author = "Bryntseva, {T. A.} and Fradkov, {A. L.}",

year = "2019",

month = sep,

day = "2",

doi = "10.1080/00207179.2017.1423394",

language = "English",

volume = "92",

pages = "1985--1992",

journal = "International Journal of Control",

issn = "0020-7179",

publisher = "Taylor & Francis",

number = "9",

}

RIS

TY - JOUR

T1 - Frequency-domain estimates of the sampling interval in multirate nonlinear systems by time-delay approach

AU - Bryntseva, T. A.

AU - Fradkov, A. L.

PY - 2019/9/2

Y1 - 2019/9/2

N2 - A class of nonlinear hybrid systems consisting of a continuous plant and a multirate sampled-data controller is considered. Applying the time-delay approach, the system is transformed to the system with a time-varying sawtooth delay. Then, the value of the sampling intervals ensuring stability of the closed-loop system is estimated based on the frequency-domain circle-like criterion for systems with time-varying delay. Such a criterion for multirate MIMO systems is established based on the previous result for SISO systems proposed by M.Churilova in 1995. Efficiency and advantages of the method are illustrated by numerical examples. The key advantage of the proposed approach is that it is applicable to multirate systems nonaffine in control. It allows one to use a nonlinear feedback for stabilisation. Particularly, the case of nonsmooth or discontinuous nonlinear systems can be treated.

AB - A class of nonlinear hybrid systems consisting of a continuous plant and a multirate sampled-data controller is considered. Applying the time-delay approach, the system is transformed to the system with a time-varying sawtooth delay. Then, the value of the sampling intervals ensuring stability of the closed-loop system is estimated based on the frequency-domain circle-like criterion for systems with time-varying delay. Such a criterion for multirate MIMO systems is established based on the previous result for SISO systems proposed by M.Churilova in 1995. Efficiency and advantages of the method are illustrated by numerical examples. The key advantage of the proposed approach is that it is applicable to multirate systems nonaffine in control. It allows one to use a nonlinear feedback for stabilisation. Particularly, the case of nonsmooth or discontinuous nonlinear systems can be treated.

KW - frequency domains

KW - hybrid systems

KW - Lyapunov function

KW - multirate systems

KW - sampling intervals

KW - Stability of nonlinear systems

UR - http://www.scopus.com/inward/record.url?scp=85040982362&partnerID=8YFLogxK

U2 - 10.1080/00207179.2017.1423394

DO - 10.1080/00207179.2017.1423394

M3 - Article

AN - SCOPUS:85040982362

VL - 92

SP - 1985

EP - 1992

JO - International Journal of Control

JF - International Journal of Control

SN - 0020-7179

IS - 9

ER -

ID: 76026535