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JOURNALS // Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta // Archive

Izv. IMI UdGU, 2015 Issue 2(46), Pages 6–12 (Mi iimi296)

Modeling the process of gluing phase trajectories in systems with a combined frequency-phase control

O. G. Antonovskayaa, V. I. Goryunovb

a Nizhni Novgorod State University of Architecture and Civil Engineering, ul. Il'inskaya, 65, Nizhni Novgorod, 603950, Russia
b Nizhni Novgorod State University, Institute on Information Technologies, Mathematics and Mechanics, pr. Gagarina, 23, Nizhni Novgorod, 603950, Russia

Abstract: The paper presents the use of the method of investigating the dynamics of systems with width-pulse modulation of control signal taking into account its piecewise constancy to studying the dynamics of the synchronization system with combined width-pulse modulation of control signal. The method is based on applying the point mappings method and consists of using the phase subspaces corresponding to constant control signal. In particular, the procedure of modeling the transition process from phase control regime to frequency control regime in the system with combined frequency-phase control is given.

Keywords: control systems, mathematical modeling, point mappings method.

UDC: 62-54.14, 681.511.4

MSC: 37E05, 37G15, 93C55, 93D20

Received: 24.08.2015



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