Benefiting from linear behaviour of a nonlinear reset-based element at certain frequencies

Nima Karbasizadeh, Ali Ahmadi Dastjerdi, Niranjan Saikumar, Duarte Valerio, S. Hassan Hossein Nia

Research output: Chapter in Book/Conference proceedings/Edited volumeConference contributionScientificpeer-review

1 Citation (Scopus)
5 Downloads (Pure)

Abstract

This paper addresses a phenomenon caused by resetting only one of the two states of a so-called second order 'Constant in gain Lead in phase' (CgLp) element. CgLp is a recently introduced reset-based nonlinear element, bound to circumvent the well-known linear control limitation - the waterbed effect. The ideal behaviour of such a filter in the frequency domain is unity gain while providing a phase lead for a broad range of frequencies, which clearly violates the linear Bode's gain phase relationship. However, CgLp's ideal behaviour is based on a describing function, which is a first order approximation that neglects the effects of higher order harmonics in the output of the filter. Consequently, achieving the ideal behaviour is challenging when higher order harmonics are relatively large. It is shown in this paper that by resetting only one of the two states of a second order CgLp, the nonlinear filter will act as a linear one at a certain frequency, provided that some conditions are met. This phenomenon can be used to the benefit of reducing higher order harmonics of CgLp's output and achieving the ideal behaviour and thus better performance in terms of precision.

Original languageEnglish
Title of host publicationProceedings of the Australian and New Zealand Control Conference, ANZCC 2020
Place of PublicationPiscataway, NJ, USA
PublisherIEEE
Pages226-231
ISBN (Electronic)978-1-7281-9992-4
DOIs
Publication statusPublished - 2020
Event2020 Australian and New Zealand Control Conference, ANZCC 2020 - Virtual, Gold Coast, Australia
Duration: 26 Nov 202027 Nov 2020

Conference

Conference2020 Australian and New Zealand Control Conference, ANZCC 2020
CountryAustralia
CityVirtual, Gold Coast
Period26/11/2027/11/20

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