Generalized Fractional Order Reset Element (GFrORE)

Niranjan Saikumar, Hassan Hossein Nia Kani

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


This paper presents and studies the novel Generalized Fractional Order Reset Element (GFrORE). Fractional order filter realizations which enable control over the Q-factor of the filter is studied. Subsequently, the concept of reset in control system is applied to fractional order filters with arbitrary reset matrices, resulting in additional reset parameter γ along with fractional order α, which can be used to optimize the filter design. A general proof of stability is provided and sinusoidal input describing function method is used to analyse the effect of the generalized reset especially on its ability to reduce phase lag. Reset action is also found to affect corner frequency of the filters for negative values of and a rule of thumb is presented to design the filters by taking this into consideration.The Q-factor of the designed filter is also affected by reset action and this is used as an advantage in the presented numerical examplefor its use in the field of motion control applications.
Original languageEnglish
Title of host publicationProceedings of the 9th European Nonlinear Dynamics Conference (ENOC 2017)
EditorsGábor Stépán, Gábor Cserná
Place of PublicationBudapest, Hungary
PublisherCongressline Ltd.
Number of pages8
ISBN (Electronic)978-963-12-9168-1
Publication statusPublished - 2017
EventENOC 2017, 9th European Nonlinear Dynamics Conference - Budapest, Hungary
Duration: 25 Jun 201730 Jun 2017


ConferenceENOC 2017, 9th European Nonlinear Dynamics Conference
Abbreviated titleENOC 2017


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