Estimating the conservatism of Popov's criterion for real parametric uncertainties

被引：6

作者：

Boussios, C

Feron, E

机构：

[1] Massachusetts Inst. of Technology, Cambridge, MA 02139

来源：

SYSTEMS & CONTROL LETTERS | 1997年 / 31卷 / 03期

关键词：

robust stability and performance; real parametric uncertainties; Popov's criterion; parameter dependent Lyapunov functions; LMIs; convex optimization;

D O I：

10.1016/S0167-6911(97)00029-7

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We consider the problems of robust stability and performance analysis of linear systems subject to parametric uncertainties. The Popov criterion provides lower bounds of stability margins and upper bounds on robust performance. In this paper we propose a method for obtaining upper bounds on stability margin or lower bounds on robust H-2 performance based on the outcome of the lower bound computation for the stability problem or the upper bound computation for the H-2 performance problem. We make several numerical tests. (C) 1997 Elsevier Science B.V.

引用

收藏

页码：173 / 183

页数：11

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