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Mathematical Problems in Engineering
Volume 2017, Article ID 8760351, 13 pages
Research Article

Brain Emotional Learning Based Intelligent Decoupler for Nonlinear Multi-Input Multi-Output Distillation Columns

1Electronics, Communications, and Computers Department, Faculty of Engineering, Helwan University, Cairo, Egypt
2Electronics and Communications Department, Pyramids High Institute (PHI) for Engineering and Technology, 6th of October, Giza, Egypt

Correspondence should be addressed to M. H. El-Saify; moc.liamtoh@yfiaslehm

Received 27 August 2016; Revised 24 December 2016; Accepted 9 January 2017; Published 31 January 2017

Academic Editor: Asier Ibeas

Copyright © 2017 M. H. El-Saify et al. 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.


The distillation process is vital in many fields of chemical industries, such as the two-coupled distillation columns that are usually highly nonlinear Multi-Input Multi-Output (MIMO) coupled processes. The control of MIMO process is usually implemented via a decentralized approach using a set of Single-Input Single-Output (SISO) loop controllers. Decoupling the MIMO process into group of single loops requires proper input-output pairing and development of decoupling compensator unit. This paper proposes a novel intelligent decoupling approach for MIMO processes based on new MIMO brain emotional learning architecture. A MIMO architecture of Brain Emotional Learning Based Intelligent Controller (BELBIC) is developed and applied as a decoupler for 4 input/4 output highly nonlinear coupled distillation columns process. Moreover, the performance of the proposed Brain Emotional Learning Based Intelligent Decoupler (BELBID) is enhanced using Particle Swarm Optimization (PSO) technique. The performance is compared with the PSO optimized steady state decoupling compensation matrix. Mathematical models of the distillation columns and the decouplers are built and tested in simulation environment by applying the same inputs. The results prove remarkable success of the BELBID in minimizing the loops interactions without degrading the output that every input has been paired with.