Synthesis of a small spacecraft's control using a flywheel engine based on the control method with a guide

The article is about the control of a small spacecraft using a flywheel engine under the action of perturbations whose statistical properties are unknown but are limited in absolute magnitude. The task is considered as a differential game of two players, the one of them is a single player whose strategy is unknown, there is an outrageous moment, and as another player - a spacecraft whose control it is necessary to select. The peculiarity of the solution lies in the fact that the set of controls of a small spacecraft is divided into two subsets: one subset of controls is used to compensate for perturbations, and the second - to solve the initial problem in the absence of perturbations. The resulting trajectory is called the trajectory of the guide. To divide the set of controls into two is possible in rare cases, therefore in this article a subset of controls is pre-allocated to solve the initial problem in the absence of perturbations, the guide track is constructed, and then, as a result of simulation, an admissible range of perturbations with given statistical properties is determined, under which the solution of the original problem is possible With admissible accuracy...