A Near-Optimal Closed-Loop Solution Method for Nonsingular Zero-Sum Differential Games

被引：18

作者：

Anderson, G. M. ^{[1
]}

机构：

[1] AF Inst Technol, Dept Mech, Wright Patterson AFB, OH USA

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 1974年 / 13卷 / 03期

关键词：

Differential games; closed-loop controls; numerical methods; optimal strategies; zero-sum games;

D O I：

10.1007/BF00934867

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

This paper presents a method for generating nearoptimal closed-loop solutions to zero-sum perfect information differential games with and without the final time explicitly specified, and with and without control constraints. This near-optimal closed-loop solution is generated by periodically updating the solution to the two-point boundary-value problem obtained by the application of the necessary conditions for a saddle-point solution. The resulting updated open-loop control is then used between updating intervals. Three examples are presented to illustrate the application of this method.

引用

页码：303 / 318

页数：16