Factorization of multipliers in passivity and IQC analysis

被引：16

作者：

Carrasco, Joaquin ^{[1
]}

Heath, William P. ^{[1
]}

Lanzon, Alexander ^{[1
]}

机构：

[1] Univ Manchester, Control Syst Ctr, Sch Elect & Elect Engn, Manchester M13 9PL, Lancs, England

来源：

AUTOMATICA | 2012年 / 48卷 / 05期

基金：

英国工程与自然科学研究理事会;

关键词：

Absolute stability; IQC; Passivity; Multipliers; Canonical factorization; ZAMES-FALB MULTIPLIERS; STABILITY MULTIPLIERS; SYSTEMS; ROBUSTNESS;

D O I：

10.1016/j.automatica.2012.02.035

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Multipliers are often used to find conditions for the absolute stability of Lur'e systems. They can be used either in conjunction with passivity theory or within the more recent framework of integral quadratic constraints (IQCs). We compare the use of multipliers in both approaches. Passivity theory requires that the multipliers have a canonical factorization and it has been suggested in the literature that this represents an advantage of the IQC theory. We consider sufficient conditions on the nonlinearity class for the associated multipliers to have a canonical factorization. (C) 2012 Elsevier Ltd. All rights reserved.

引用

页码：909 / 916

页数：8

共 46 条

[1] Delay-Integral-Quadratic Constraints and Stability Multipliers for Systems With MIMO Nonlinearities [J].