A CHARACTERIZATION OF ALL SOLUTIONS TO THE 4 BLOCK GENERAL DISTANCE PROBLEM

被引：119

作者：

GLOVER, K

LIMEBEER, DJN

DOYLE, JC

KASENALLY, EM

SAFONOV, MG

机构：

[1] UNIV LONDON IMPERIAL COLL SCI & TECHNOL,DEPT ELECT ENGN,LONDON SW7 2BT,ENGLAND

[2] CALTECH,DEPT ELECT ENGN,PASADENA,CA 91125

[3] UNIV SO CALIF,DEPT ELECT ENGN SYST,LOS ANGELES,CA 90089

来源：

SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 1991年 / 29卷 / 02期

关键词：

H-INFINITY OPTIMAL CONTROL; 4 BLOCK PROBLEM; PARROTS THEOREM; GENERAL DISTANCE PROBLEMS; INDEFINITE RICCATI EQUATIONS; INDEFINITE FACTORIZATION; LINEAR QUADRATIC DIFFERENTIAL GAMES; NEHARIS THEOREM;

D O I：

10.1137/0329016

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

All solutions to the four block general distance problem which arises in H infinity optimal control are characterized. The procedure is to embed the original problem in an all-pass matrix which is constructed. It is then shown that part of this all-pass matrix acts as a generator of all solutions. Special attention is given to the characterization of all optimal solutions by invoking a new descriptor characterization of all-pass transfer functions. As an application, necessary and sufficient conditions are found for the existence of an H infinity optimal controller. Following that, a descriptor representation of all solutions is derived.

引用

页码：283 / 324

页数：42

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