On a Minimax Control Problem for a Positional Functional under Geometric and Integral Constraints on Control Actions

被引：9
|
作者：
Kornev, D. V. [1 ,2 ]
Lukoyanov, N. Yu. [1 ,2 ]
机构：
[1] Russian Acad Sci, Krasovskii Inst Math & Mech, Ural Branch, Ul S Kovalevskoi 16, Ekaterinburg 620990, Russia
[2] Ural Fed Univ, Pr Lenina 51, Ekaterinburg 620000, Russia
来源：
PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS | 2016年 / 293卷
基金：
俄罗斯科学基金会;
关键词：
minimax control; differential games; integral constraints; nonterminal payoff; DIFFERENTIAL-GAMES; PROGRAM SYNTHESIS;
D O I：
10.1134/S0081543816050096
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Within the game-theoretical approach, we consider a minimax feedback control problem for a linear dynamical system with a positional quality index, which is the norm of the deviation of the motion from given target points at given times. 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.
引用
收藏
页码：S85 / S100
页数：16
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