International Journal of Fuzzy Systems

, Volume 21, Issue 8, pp 2679–2693 | Cite as

Fuzzy Model Identification and Self Learning with Smooth Compositions

  • Ebrahim Navid SadjadiEmail author
  • Jesus Garcia
  • Jose Manuel Molina Lopez
  • Akbar Hashemi Borzabadi
  • Monireh Asadi Abchouyeh


This paper develops a smooth model identification and self-learning strategy for dynamic systems taking into account possible parameter variations and uncertainties. We have tried to solve the problem such that the model follows the changes and variations in the system on a continuous and smooth surface. Running the model to adaptively gain the optimum values of the parameters on a smooth surface would facilitate further improvements in the application of other derivative based optimization control algorithms such as MPC or robust control algorithms to achieve a combined modeling-control scheme. Compared to the earlier works on the smooth fuzzy modeling structures, we could reach a desired trade-off between the model optimality and the computational load. The proposed method has been evaluated on a test problem as well as the non-linear dynamic of a chemical process.


Fuzzy control Fuzzy IF–THEN systems (TSK) Smooth compositions 



This publication was supported in part by project MINECO, TEC2017-88048-C2-2-R.

Compliance with Ethical Standards

Conflict of interest

The authors declare that there exists no conflict of interest.

Ethical Approval

This article does not contain any studies with human participants or animals performed by any of the authors.


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Copyright information

© Taiwan Fuzzy Systems Association 2019

Authors and Affiliations

  • Ebrahim Navid Sadjadi
    • 1
    Email author
  • Jesus Garcia
    • 1
  • Jose Manuel Molina Lopez
    • 1
  • Akbar Hashemi Borzabadi
    • 2
  • Monireh Asadi Abchouyeh
    • 3
  1. 1.Universidad Carlos IIIMadridSpain
  2. 2.Department of Applied MathematicsUniversity of Science and Technology of MazandaranBehshahrIran
  3. 3.Department of Electrical Engineering, Dolatabad BranchIslamic Azad UniversityIsfahanIran

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