Description of selected pneumatic elements and systems using fractional calculus
Author(s) -
D. Pietruszczak,
A. Nowocień
Publication year - 2019
Publication title -
journal of automation electronics and electrical engineering
Language(s) - English
Resource type - Journals
eISSN - 2719-2954
pISSN - 2658-2058
DOI - 10.24136/jaeee.2019.006
Subject(s) - fractional calculus , integer (computer science) , transfer function , matlab , calculus (dental) , order (exchange) , function (biology) , mathematics , riemann hypothesis , computer science , mathematical analysis , engineering , economics , biology , programming language , operating system , medicine , dentistry , finance , evolutionary biology , electrical engineering
− The paper presents the application of fractional calculus to describe the dynamics of selected pneumatic elements and systems. In the construction of mathematical models of the analysed dynamic systems, the Riemann-Liouville definition of differintegral of noninteger order was used. For the analysed model, transfer function of integer and non-integer order was determined. Functions describing characteristics in frequency domains were determined, whereas the characteristics of the elements and systems were obtained by means of computer simulation. MATLAB programme were used for the simulation research.
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