An error bound for model reduction of Lur'e-type systems

Bart Besselink, Nathan van de Wouw, Henk Nijmeijer

Research output: Contribution to conferencePaperAcademic

6 Citations (Scopus)

Abstract

In general, existing model reduction techniques for stable nonlinear systems lack a guarantee on stability of the reduced-order model, as well as an error bound. In this paper, a model reduction procedure for absolutely stable Lur’e- type systems is presented, where conditions to ensure absolute stability of the reduced-order model as well as an error bound are given. The proposed model reduction procedure exploits linear model reduction techniques for the reduction of the linear part of the Lur’e-type system. Hence, the proposed model reduction strategy is computationally attractive. Moreover, both stability and the error bound for the obtained reduced-order model hold for an entire class of nonlinearities. The results are illustrated by application to a nonlinear mechanical system.
Original languageEnglish
Pages3264-3269
Number of pages6
DOIs
Publication statusPublished - 2009
Externally publishedYes
EventJoint 48th IEEE Conference on Decision and Control and 28th Chinese Control Conference -
Duration: 15-Dec-200918-Dec-2009

Conference

ConferenceJoint 48th IEEE Conference on Decision and Control and 28th Chinese Control Conference
Period15/12/200918/12/2009

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