THE OPTIMAL PROJECTION EQUATIONS FOR STATIC AND DYNAMIC OUTPUT-FEEDBACK - THE SINGULAR CASE

被引：14

作者：

BERNSTEIN, DS

机构：

[1] Harris Corp, Melbourne, FL, USA, Harris Corp, Melbourne, FL, USA

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 1987年 / 32卷 / 12期

关键词：

CONTROL SYSTEMS; OPTIMAL; -; NOISE; SPURIOUS SIGNAL;

D O I：

10.1109/TAC.1987.1104514

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The author addresses the question: What is the relationship between the oblique projection arising in optimal static output feedback and the oblique projection arising in optimal fixed-order dynamic compensation? It is shown that in nonstrictly proper optimal output feedback there are three distinct oblique projections corresponding to singular measurement noise, singular control weighting, and reduced compensator order. The Levine-Atans and Hyland-Bernstein approaches are unified by rederiving the optimal projection equations for combined static/dynamic (nonstrictly proper) output feedback in a form which illustrates the role of the three projections in characterizing the optimal feedback gains. Even when the dynamic component of the nonstrictly proper controller is of full order, the controller is characterized by four matrix equations which generalize the standard LQG result.

引用

页码：1139 / 1143

页数：5