MIXED ETA-2/ETA-INFINITY CONTROL FOR DISCRETE-TIME-SYSTEMS VIA CONVEX-OPTIMIZATION

被引：77

作者：

KAMINER, I ^{[1
]}

KHARGONEKAR, PP ^{[1
]}

ROTEA, MA ^{[1
]}

机构：

[1] PURDUE UNIV,SCH AERONAUT & ASTRONAUT,W LAFAYETTE,IN 47907

来源：

AUTOMATICA | 1993年 / 29卷 / 01期

基金：

美国国家科学基金会;

关键词：

ROBUST CONTROL; MULTIOBJECTIVE CONTROL; CONVEX PROGRAMMING;

D O I：

10.1016/0005-1098(93)90174-R

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 mixed H2/H(infinity) control problem for discrete-time systems is considered, where an upper bound on the H2 norm of a closed loop transfer matrix is minimized subject to an H(infinity) constraint on another closed loop transfer matrix. Both state-feedback and output-feedback cases are considered. It is shown that these problems are equivalent to finite-dimensional convex programming problems. In the state-feedback case, nearly optimal controllers can be chosen to be static gains. In the output feedback case, nearly optimal controllers can be chosen to have a structure similar to that of the central single objective H(infinity) controller. In particular, the state dimension of nearly optimal output-feedback controllers need not exceed the plant dimension.

引用

页码：57 / 70

页数：14

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