Simultaneous stabilization with near optimal LQR performance

被引：68

作者：

Miller, DE ^{[1
]}

Rossi, M

机构：

[1] Univ Waterloo, Dept Elect & Comp Engn, Waterloo, ON N2L 3G1, Canada

[2] Honeywell Inc, Dept Syst Design Engn, Mississauga, ON, Canada

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2001年 / 46卷 / 10期

基金：

加拿大自然科学与工程研究理事会;

关键词：

LQR; optimal control; simultaneous stabilization; time-varying control;

D O I：

10.1109/9.956050

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 this paper, we consider the use of linear time-varying controllers for simultaneous stabilization and performance. We prove that for every finite set of plants, we can design a linear time-varying controller which provides not only closed loop stability, but also near optimal LQR type performance. By adding a mild nonlinearity in the form of a nonlinear delay, we end up with an improved controller which provides near optimal performance for each possible model as well as for the case when the plant changes occasionally.

引用

页码：1543 / 1555

页数：13

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