ISSN 2071-8594

Russian academy of sciences

Editor-in-Chief

Gennady Osipov

M.V. Khachumov Problems of group pursuit of a target in a perturbed environment

Abstract.

We consider game-theoretic problems of group pursuit of a target under perturbations. The objects are the unmanned flight vehicles (FVs), which mathematical models are determined by transfer functions that describe the double-loop control system with autopilot and settings, providing necessary stability of the flight. In accordance with the separation principle, without loss of generality, solutions are considered in the pitch plane. In the case of antagonistic game the speed of the target is higher than the speed of the pursuers. The problem is solved when meeting of one of the pursuers with the target is occurred, or in the case when the target runs away from its pursuers. The task of following the target consists in rapprochement of the FVs group having some random arrangement with the target and flight along it during the set observation time. The target having lower speed seeks to evade as far as possible from its pursuers. Finally, in the task of following the given route, each aircraft should fly along its trajectory, given by the motion of the corresponding reference target. In the process of tasks solving each FV implements a set of heuristic behavioral strategies in the perturbed environment, using the rules of pitch angle and speed selection. In the experimental part of the paper situations typical for the solution of these problems are modelled.

Keywords:

Unmanned flight vehicles, intelligent control, control rules, group interaction, target pursuit, differential games, modeling

PP. 46-54.

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