Differential Equations and Control Processes
(Differencialnie Uravnenia i Protsesy Upravlenia)

Multiparametric Friequency-Domain Criterion for the Estimation of the Number of Cycle--Slipping in Discrete Phase Systems.

Author(s):

A. I. Shepeljavyi

RUSSIA, 198904, Saint-Petersburg, Petrodvorets, Universitetsky pr., 28,
Saint-Petersburg State University,
faculty of mathematics amd mechanics

as@as1020.spb.edu

V. B. Smirnova

RUSSIA, 198904, Saint-Petersburg, Petrodvorets, Universitetsky pr., 28,
Saint-Petersburg State University,
faculty of mathematics amd mechanics

root@al2189.spb.edu

N. V. Utina

RUSSIA, 198904, Saint-Petersburg, Petrodvorets, Universitetsky pr., 28,
Saint-Petersburg State University,
faculty of mathematics amd mechanics

unv74@mail.ru

Abstract:

Discrete contol system with a periodic nonlinearity is considered. Its important feature is the number of cycle-slipping of the transient regime. In the paper by means of Lyapunov direct method and Bakaev-Guzh technique for differentiable functions the estimation of the number of cycle--slipping is established. Yakubovich--Kalman theorem is also used. Therefore the main theorem of the paper is formulated as a frequency-domain criterion.

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