The problem of the synthesis of vibroabsorbing systems under the effect of harmonic perturbation optimal by the criterion of the minimum amplitude of stationary vibrations is considered. The control effect is assumed to be bounded relative to the integral quadratic value. The solution is obtained by applying the technique of harmonic linearization method combined with the variational method and is defined in a closed form. It is shown that the solution of the synthesis problem is not uniquely defined. This makes possible such a choice of parameters of a feedback law that ensures some additional efficient characteristics, in particular, the conservation of the vibration amplitude constancy when the frequency of the external perturbation is varied.
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