MINIMUM H-INFINITY-NORM REGULATION OF LINEAR DISCRETE-TIME-SYSTEMS AND ITS RELATION TO LINEAR QUADRATIC DISCRETE GAMES

被引：31

作者：

YAESH, I

SHAKED, U

机构：

[1] Department of Electronic Systems, Tel-Aviv University

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 1990年 / 35卷 / 09期

关键词：

D O I：

10.1109/9.58538

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

A solution is derived to the H∞-optimization problem that arises in multivariable discrete-time regulation when the controller has full access to the state vector. The solution method is based on the close relations that exist between linear quadratic differential game theory and H∞-optimization. The existing theory of discrete-time quadratic games is readily applied in order to derive the solution to a finite-time horizon version of the H∞ -optimization problem. The solution of the infinite-time horizon H∞-optimization problem is then obtained by formally taking the limit of the number of stages to infinity. © 1990 IEEE

引用

页码：1061 / 1064

页数：4