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

Matthew Turner; Murray Kerr; Ian Postlethwaite

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

Matthew Turner, Murray Kerr, Ian Postlethwaite

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

5 Citations (Scopus)

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.

Original language	English
Title of host publication	Proceedings of ICCAS-SICE, 2009
Place of Publication	Piscataway
Publisher	IEEE
Pages	1052-1057
ISBN (Print)	978-4907764340
Publication status	Published - 2009

Cite this

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title = "On the existence of multipliers for MIMO systems with repeated slope-restricted nonlinearities",

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.",

author = "Matthew Turner and Murray Kerr and Ian Postlethwaite",

note = "Presented at ICCAS-SICE, 2009 in Fukuoka, Japan, from 18-21 August 2009.",

year = "2009",

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T1 - On the existence of multipliers for MIMO systems with repeated slope-restricted nonlinearities

AU - Turner, Matthew

AU - Kerr, Murray

AU - Postlethwaite, Ian

N1 - Presented at ICCAS-SICE, 2009 in Fukuoka, Japan, from 18-21 August 2009.

PY - 2009

Y1 - 2009

N2 - 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.

AB - 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.

M3 - Chapter

SN - 978-4907764340

SP - 1052

EP - 1057

BT - Proceedings of ICCAS-SICE, 2009

PB - IEEE

CY - Piscataway

ER -

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

Abstract

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