Abstract
The paper outlines the use of fractional derivatives for dynamic measurements while developing a method of improved description of dynamic properties of accelerometer, which the authors consider to be the original and unique achievement of their work. The main objective of the work is an implementation of a fractional calculus-based method which allows for a description of dynamic properties of signal processing of measuring transducers with fractional orders. A dynamics of transducer is identified by the ARX method (AutoRegressive with EXternal input identification method). Identification of accelerometer was accomplished with the use of the MATLAB&Simulink package.
Highlights
IntroductionThe problem of describing dynamic properties of objects by means of fractional calculus well known since the times of Gottfried Wilhelm Leibniz [1], and [2], yet due to restrictions resulting from lack of appropriate calculation methods and possibilities of their verification has always been ignored
The problem of describing dynamic properties of objects by means of fractional calculus well known since the times of Gottfried Wilhelm Leibniz [1], and [2], yet due to restrictions resulting from lack of appropriate calculation methods and possibilities of their verification has always been ignored.At present technical and calculation possibilities cause that the problems related to these limitations have, to a large extent, been solved
The paper outlines the use of fractional calculus for dynamic measurements while developing a method of improved description of dynamic properties of measuring transducers which the authors considers to be the original and unique achievement of this work
Summary
The problem of describing dynamic properties of objects by means of fractional calculus well known since the times of Gottfried Wilhelm Leibniz [1], and [2], yet due to restrictions resulting from lack of appropriate calculation methods and possibilities of their verification has always been ignored. Proposed by the authors of this paper method of description of the dynamic properties of measuring transducer in terms of signal processing, based on fractional calculus, allows for a description of dynamic properties of broader class of measuring transducers, i.e. integerorder and fractional-order accelerometers. The aim of this paper is to investigate how models of accelerometers based on the fractional calculus ([3], [4], [5], [6], [1], [7] and [2]) description convey their dynamic behaviour in comparison to models represented by differential equations of integer orders and in comparison to processing characteristics of their real counterparts
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Communications - Scientific letters of the University of Zilina
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
