Transactions of Nanjing University of Aeronautics & Astronautics
Optimal Delayed Control of Nonlinear Vibration Resonances of Single Degree of Freedom System
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Abstract:
The primary resonance of a single-degree-of-freedom (SDOF) system subjected to aharmonic excitation is mitigated by the method of optimal time-delay feedback control. The stable regions of the time delays and feedback gains are obtained from the stable conditions of eigenvalue equation. Attenuation ratio is applied for evaluating the performance of the vibration control by taking a proportion of peak amplitude of primary resonance for the suspension system with or without controllers. Taking the attenuation ratio as the objective function and the stable regions of the time delays and feedback gains as constrains, the optimal feedback gains are determined by using minimum optimal method. Finally, simulation examples are also presented.
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