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MODELS IN PHYSICS AND TECHNOLOGY
Effect of subcritical excitation of oscillations in stochastic systems with time
delay. Part II. Control of fluid equilibrium
D. A. Bratsuna, A. V. Zyuzginb a Perm State Pedagogical University, Faculty of Physics, 24, Sibirskaya str., Perm, 614600, Russia
b Perm State National Research University, Faculty of Physics, 15, Bukireva str., Perm, 614990, Russia
Abstract:
The problem of active control of the mechanical equilibrium of an inhomogeneously heated fluid
in a thermosyphon is studied theoretically and experimentally. The control is performed by using a feedback subsystem
which inhibits convection by changing the orientation of thermosyphon in space. It is shown that excess feedback
leads to the excitation of oscillations which are related to a delay in the controller work. In the presense of noise, the
oscillations arise even when deterministic description predicts stationary behaviour. The experimental data and theory
are in good agreement.
Keywords:
time delay, stochastic systems, oscillations, control, convection.
Received: 19.04.2012
Citation:
D. A. Bratsun, A. V. Zyuzgin, “Effect of subcritical excitation of oscillations in stochastic systems with time
delay. Part II. Control of fluid equilibrium”, Computer Research and Modeling, 4:2 (2012), 369–389
Linking options:
https://www.mathnet.ru/eng/crm495 https://www.mathnet.ru/eng/crm/v4/i2/p369
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