LMI search for rational anticausal Zames-Falb multipliers

J. Carrasco; M. Maya-Gonzalez; A. Lanzon; W.P. Heath

doi:10.1109/CDC.2012.6426868

LMI search for rational anticausal Zames-Falb multipliers

J. Carrasco
, M. Maya-Gonzalez
, A. Lanzon
, W.P. Heath

University of Manchester

Research output: Contribution to conference › Paper › peer-review

Abstract

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.

Original language	Unknown
Pages	7770-7775
Number of pages	6
DOIs	https://doi.org/10.1109/CDC.2012.6426868
Publication status	Published - 4 Feb 2013
Externally published	Yes
Event	2012 IEEE 51st IEEE Conference on Decision and Control (CDC) - maui, United States Duration: 10 Dec 2012 → 13 Dec 2012

Conference

Conference	2012 IEEE 51st IEEE Conference on Decision and Control (CDC)
Country/Territory	United States
City	maui
Period	10/12/12 → 13/12/12

Access to Document

10.1109/CDC.2012.6426868

Cite this

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AB - 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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