LMI searches for anticausal and noncausal rational Zames-Falb multipliers

被引：31

作者：

Carrasco, Joaquin ^{[1
]}

Maya-Gonzalez, Martin ^{[1
]}

Lanzon, Alexander ^{[1
]}

Heath, William P. ^{[1
]}

机构：

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

来源：

SYSTEMS & CONTROL LETTERS | 2014年 / 70卷

基金：

英国工程与自然科学研究理事会;

关键词：

Slope-restricted nonlinearities; Zames-Falb multipliers; Multiplier search; CAUSAL MULTIPLIERS; SYSTEMS; EXISTENCE; CRITERION;

D O I：

10.1016/j.sysconle.2014.05.005

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Given a linear time-invariant plant, the search for a suitable multiplier over the class of Zames-Falb multipliers is a challenging problem which has been studied for several decades. Recently, a new linear matrix inequality search has been proposed over rational and causal Zames-Falb multipliers. This letter analyzes the conservatism of the restriction to causality on the multipliers and presents a complementary search for rational and anticausal multipliers. The addition of a Popov multiplier to the anticausal Zames-Falb multiplier is implemented by analogy with the causal search. As a result, a search over a noncausal subset of Zames-Falb multipliers is obtained. A comparison between all the search methods proposed in the literature is given. (C) 2014 The Authors. Published by Elsevier B.V.

引用

页码：17 / 22

页数：6

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