On the existence of multipliers for MIMO systems with repeated slope-restricted nonlinearities

Turner, Matthew, Kerr, Murray and Postlethwaite, Ian (2009) On the existence of multipliers for MIMO systems with repeated slope-restricted nonlinearities. In: Proceedings of ICCAS-SICE, 2009. IEE, Piscataway, pp. 1052-1057. ISBN 978-4907764340

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Abstract

This paper studies the absolute stability problem for closed-loop systems containing a known linear-time-invariant (LTI) part and a static nonlinear element with restricted slope. LMI-based conditions which can be used to guarantee the stability of the closed-loop system are derived, based on extensions of the Zames-Falb multiplier. The paper extends previous single-input-single-output results to multiple-input-multiple-output systems. The generality of the Zames-Falb mulitiplier ensures that it is no more conservative than the Circle and Popov criteria, and sometimes dramatically less so.

Item Type:	Book Section
Additional Information:	Presented at ICCAS-SICE, 2009 in Fukuoka, Japan, from 18-21 August 2009.
Subjects:	H600 Electronic and Electrical Engineering
Department:	Faculties > Engineering and Environment > Mathematics, Physics and Electrical Engineering
Depositing User:	Sarah Howells
Date Deposited:	22 Oct 2012 13:00
Last Modified:	12 Oct 2019 19:06
URI:	http://nrl.northumbria.ac.uk/id/eprint/9860

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