LMI寻找理性的反因果Zames-Falb乘数

2012 IEEE 51st IEEE Conference on Decision and Control (CDC) Pub Date : 2012-12-01 DOI:10.1109/CDC.2012.6426868

J. Carrasco, Martin Maya-Gonzalez, A. Lanzon, W. Heath

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引用次数: 12

摘要

给定一个线性定常植物，在Zames-Falb乘子类上寻找合适的乘子是一个具有挑战性的问题，已经研究了几十年。最近，提出了一种新的线性矩阵不等式搜索方法，该方法适用于理性和因果Zames-Falb乘子。本文分析了乘数因果限制的保守性，提出了对理性乘数和反因果乘数的互补研究。

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LMI search for rational anticausal Zames-Falb multipliers

Given a linear time-invariant plant, the search of a suitable multiplier over the class of Zames-Falb multiplier 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 paper analyzes the conservatism of the restriction to causality on the multipliers and presents a complementary search for rational and anticausal multipliers.

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2012 IEEE 51st IEEE Conference on Decision and Control (CDC)

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