К ЗАДАЧЕ УПРАВЛЕНИЯ НА МИНИМАКС ПОЗИЦИОННОГО ФУНКЦИОНАЛА ПРИ ГЕОМЕТРИЧЕСКИХ И ИНТЕГРАЛЬНЫХ ОГРАНИЧЕНИЯХ НА УПРАВЛЯЮЩИЕ ВОЗДЕЙСТВИЯ

Translated title of the contribution: On a minimax control problem for a positional functional under geometric and integral constraints on control actions

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Abstract

Within the game-theoretical approach we consider a minimax feedback control problem for a linear dynamical system with a positional quality index in the form of the norm of motion deviations at given times from given target points. Control actions are subject to both geometric and integral constraints. A procedure for the approximate calculation of the optimal guaranteed result and for the construction of a control law that ensures the result is developed. The procedure is based on the recursive construction of upper convex hulls of auxiliary program functions. Results of numerical simulations are presented.
Original languageRussian
Pages (from-to)87-101
Number of pages15
JournalТруды института математики и механики УрО РАН
Volume21
Issue number2
Publication statusPublished - 2015

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  • 27.37.00

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