Vibrational control in Hinfinity problems
L. A. Safonov, V. V. Strygin
Abstract
We consider the application of the theory of vibrational control to Hinfinity-problems. We study the possibility of introduction of high-frequency parametric vibrations in order to decrease the minimal attainable value of the Hinfinity-norm. We prove the existence of the stabilizing solution of the Riccati equation with quickly oscillating coefficients. This solution is found using the averaging technique as a series of the small parameter.
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