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

T. A. Bryntseva, A. L. Fradkov

Результат исследований: Научные публикации в периодических изданияхстатьярецензирование

4 Цитирования (Scopus)

Аннотация

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.

Язык оригиналаанглийский
Страницы (с-по)1985-1992
Число страниц8
ЖурналInternational Journal of Control
Том92
Номер выпуска9
DOI
СостояниеОпубликовано - 2 сен 2019

Предметные области Scopus

  • Системотехника
  • Прикладные компьютерные науки

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