Purely Analog Fractional Order PI Control Using Discrete Fractional Capacitors (Fractors): Synthesis and Experiments
Document Type
Conference Paper
Journal/Book Title/Conference
ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
Publisher
The American Society of Mechanical Engineers
Location
San Diego, CA
Publication Date
9-1-2009
First Page
1307
Last Page
1314
Abstract
This paper presents the results of experiments related to analog fractional order PI control of a coupled tank system. A custom circuit board has been built to perform analog PID/FOPID control. Specialized circuit elements called ‘Fractors’ [1] are used to perform fractional order integration/differentiation of the error signals. The design of the board, subsequent experimentation and its comparison to similar digital control techniques have been presented. The benefits of purely analog control when dealing with non-linearities are also discussed. Further, methods of approximating a particular fractional order α* with any number of practically available orders α1 , α2 , ....αn has also been presented. The conclusion of this work examines the need for purely analog control as opposed to widespread digital methods and also lays down definite directions for future work.
Recommended Citation
Mukhopadhyay, Shayok; Coopmans, Calvin; and Chen, YangQuan Prof., "Purely Analog Fractional Order PI Control Using Discrete Fractional Capacitors (Fractors): Synthesis and Experiments" (2009). AggieAir Presentations. Paper 53.
https://digitalcommons.usu.edu/aggieair_pres/53