MINIMAX CONTROL OF A DISCRETE OBJECT WITH MIXED PERTURBATIONS

This article considers the class of linear models of dynamic objects in which the sequence of perturbations belongs to a set called a uniform renewal process. This set generalizes a uniformly bounded sequence and is characterized by a reduction in the dependence of future perturbations and those already observed as the time interval between them increases. The article also considers more complex models with additional perturbations of limited power. The problem of synthesizing an optimal regulator for such models with a minimax quality criterion is reduced to numerical minimization of a convex function of a finite number of parameters. Analytic solutions are obtained for special cases.