Frequency and phase control of the resonance oscillations of a non-linear system under conditions of uncertainty

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作者
Kovaleva, A.S.
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基金
俄罗斯基础研究基金会;
关键词
Asymptotic stability - Equations of motion - Mathematical models - Natural frequencies - Nonlinear control systems - Oscillations - Perturbation techniques - Probability - Resonance;
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摘要
A norm-bounded locally optimal control is constructed which minimizes the frequency and phase deviations from resonance in a non-linear system affected by bounded perturbations. It is shown that this control is independent of the form of the perturbation and the structure of the conservative part of the system. As an example, frequency and phase controls of forced oscillations in a system of two weakly coupled oscillators are constructed. © 2004 Elsevier Ltd. All rights reserved.
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页码:699 / 706
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