H-INFINITY CONTROL WITH TRANSIENTS

被引：116

作者：

KHARGONEKAR, PP ^{[1
]}

NAGPAL, KM ^{[1
]}

POOLLA, KR ^{[1
]}

机构：

[1] UNIV ILLINOIS,COORDINATED SCI LAB,URBANA,IL 61801

来源：

SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 1991年 / 29卷 / 06期

关键词：

H-INFINITY CONTROL THEORY; ALGEBRAIC AND DIFFERENTIAL RICCATI EQUATIONS; OPTIMAL CONTROL;

D O I：

10.1137/0329070

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In H(infinity) (or uniformly optimal) control problems, it is usually assumed that the system initial conditions are zero. In this paper, an H(infinity)-like control problem that incorporates uncertainty in initial conditions is formulated. This is done by defining a worst-case performance measure. Both finite and infinite horizon problems are considered. Necessary and sufficient conditions are derived for the existence of controllers that yield a closed-loop system for which the above-mentioned performance measure is less than a prespecified value. State-space formulae for the controllers are also presented.

引用

页码：1373 / 1393

页数：21

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