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Abstract and Applied AnalysisVolume 2014 2014, Article ID 871614, 9 pages

Research Article

Dynamical Systems and Control DSC Research Lab., Department of Electrical Engineering, School of Engineering, Persian Gulf University, P.O. Box 75169, Bushehr, Iran

Department of Chemical and Materials Engineering, Faculty of Engineering, King Abdulaziz University, P.O. Box 80204, Jeddah 21589, Saudi Arabia

Department of Mathematics and Computer Sciences, Faculty of Arts and Sciences, Çankaya University, 06530 Ankara, Turkey

Institute 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.

Author: Abolhassan Razminia and Dumitru Baleanu



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