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Instruments and Systems: Monitoring, Control, and Diagnostics

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Attractors control object with the nonlinearity of the bistable relay with hysteresis
R.A. NABOKOV V.G. RUBANOV

The present article investigated the dynamics of the control object to the nonlinearity of bistable relay with hysteresis, which
is selected as the system voltage stabilization. For the object in question obtained mathematical description characterizing the
motion of the system. Describing the motion of a mathematical model of the system of differential equations of order 4, with a
discontinuous right-hand side has been investigated by the use of numerical integration of Runge-Kutta 4th order, resulting in a
type of limit cycle attractors, and so-called strange attractor. To confirm the adequacy of the mathematical model developed by
the voltage regulator circuit diagram with on-off switch with hysteresis, as well as physically to implement the proposal. The
resulting physical realization of the device was investigated for the same values of the system parameters, and that the mathematical
model and the type of attractors obtained limit cycles of periods 1 and 2, as well as chaotic attractor. Thus on the mathematical
and physical models were considered dinamichesike object properties control nonlinearity type bistable relay with hysteresis
and shows the obtained type of limit cycle attractors of period 1 and 2, as well as strange attractor.
Keywords: bistable relay with hysteresis, attractor, limit cycle, chaos, strange attractor, mathematical model, voltage regulator.

Contacts: E-mail: nabokov.roman@mail.ru

Pp. 53-58.

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