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Abstract and Applied Analysis
Volume 2014, Article ID 871614, 9 pages
Research Article

Fractional Order Models of Industrial Pneumatic Controllers

1Dynamical Systems & Control (DSC) Research Lab., Department of Electrical Engineering, School of Engineering, Persian Gulf University, P.O. Box 75169, Bushehr, Iran
2Department of Chemical and Materials Engineering, Faculty of Engineering, King Abdulaziz University, P.O. Box 80204, Jeddah 21589, Saudi Arabia
3Department of Mathematics and Computer Sciences, Faculty of Arts and Sciences, Çankaya University, 06530 Ankara, Turkey
4Institute of Space Sciences, Magurele-Bucharest, Romania

Received 17 December 2013; Accepted 8 January 2014; Published 24 February 2014

Academic Editor: Praveen Agarwal

Copyright © 2014 Abolhassan Razminia and Dumitru Baleanu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This paper addresses a new approach for modeling of versatile controllers in industrial automation and process control systems such as pneumatic controllers. Some fractional order dynamical models are developed for pressure and pneumatic systems with bellows-nozzle-flapper configuration. In the light of fractional calculus, a fractional order derivative-derivative (FrDD) controller and integral-derivative (FrID) are remodeled. Numerical simulations illustrate the application of the obtained theoretical results in simple examples.