Journal of Intelligent Manufacturing

, Volume 29, Issue 8, pp 1859–1871 | Cite as

A novel inverted fuzzy decoupling scheme for MIMO systems with disturbance: a case study of binary distillation column

  • Mohamed HamdyEmail author
  • Abdalhady Ramadan
  • Belal Abozalam


This paper presents a novel inverted fuzzy decoupling scheme for multi-input multi-output (MIMO) systems with disturbance via PI controller. The emphasis is to determine a decoupling control where specific inputs and outputs are paired. This decoupling control is achieved using fuzzy logic, to reduce the reliance on model-based analysis. The inverted decoupling approach allows more flexibility in choosing the transfer functions of the decoupled apparent process. In addition, the expressions of the inverted decoupling are presented for general \(n \times n\) processes, highlighting that the complexity of the decoupling elements is independent of the system size. The inverted fuzzy decoupling scheme is developed and compared with an ordinary inverted decoupling scheme. Based on the direct Nyquist array method, the stability conditions of the overall closed loop MIMO system in the presence of disturbance are formulated. A case study of Wood and Berry model of a binary distillation column is used to illustrate the applicability of the proposed schemes.


Inverted fuzzy decoupling Direct Nyquist array (DNA) PI controller Binary distillation column 



The authors would like to thank Eng. I. Hamdan, of Menoufia University, for his help, as well as the Editor-in-Chief, and the anonymous reviewers for their inspiring encouragement and constructive comments, which have contributed much to the improvement of the clarity and presentation of this paper.


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Copyright information

© Springer Science+Business Media New York 2016

Authors and Affiliations

  • Mohamed Hamdy
    • 1
    Email author
  • Abdalhady Ramadan
    • 1
  • Belal Abozalam
    • 1
  1. 1.Department of Industrial Electronics and Control Engineering, Faculty of Electronic EngineeringMenoufia UniversityMenoufEgypt

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