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Control of a noise-induced transition in a nonlinear dynamical system
Yu A Astrov1, A L Fradkov, P Yu Guzenko
1Ioffe Physico-Technical Institute, Russian Academy of Sciences, Politechnicheskaya Str. 26, St. Petersburg, 194021, Russia. yuri.astrov@mail.ioffe.ru
Summary
Feedback control effectively suppresses noise in nonlinear dynamic systems. This method, demonstrated on a semiconductor-gas-discharge image converter, shows resonance-like efficiency, offering broad applications.
Area of Science:
- Nonlinear dynamics
- Control theory
- Semiconductor physics
Background:
- Nonlinear second-order dynamic systems are susceptible to noise-induced transitions.
- Semiconductor-gas-discharge image converters exhibit complex dynamics influenced by noise.
Purpose of the Study:
- To investigate the application of feedback control to mitigate noise-induced transitions in a nonlinear dynamic system.
- To analyze the effectiveness of a speed-gradient control algorithm on a linearized model.
Main Methods:
- Mathematical modeling of a two-component system.
- Development and application of a speed-gradient control algorithm.
- Computer simulations to evaluate control performance.
Main Results:
- Feedback control significantly suppresses the destructive effects of noise.
- Control efficiency exhibits a nonmonotonic, resonance-like dependence on control signal amplitude.
- The proposed method demonstrates potential for noise reduction in dynamic systems.
Conclusions:
- Feedback control is a viable strategy for managing noise-induced transitions in nonlinear systems.
- The speed-gradient method offers an effective approach for control design.
- The findings have implications for various fields requiring system stabilization.
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