Generalized Fractional Order Reset Element (GFrORE)

Conference paper (2017)

Authors

N. Saikumar Mechatronic Systems Design - Mechanical, Maritime and Materials Engineering
S. Hassan HosseinNia Mechatronic Systems Design - Mechanical, Maritime and Materials Engineering
Research Group
Mechatronic Systems Design (Mechanical, Maritime and Materials Engineering) (TU Delft)
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Published Date

2017

Language

English

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Faculty

Mechanical, Maritime and Materials Engineering

Department

Precision and Microsystems Engineering

Research Group

Mechatronic Systems Design

Abstract

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.

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