Alternance method for parametric synthesis of H∞-optimal systems of automatic control

The problem of parametric synthesis of H-infinity-optimal systems of automatic control is reduced to the corresponding minimax problems of nonlinear programming with an infinite number of restrictions. The proposed method of synthesis is based on employing the Chebyshev properties of solutions of such problems and a priori information about the shape of frequency characteristics of the system. The potentialities of the method are illustrated by the example of typical problems of choice of tunings of controllers and synthesis of the sequential correcting units.