Feedback Error Learning Control of Magnetic Satellites Using Type-2 Fuzzy Neural Networks With Elliptic Membership Functions

Mojtaba Ahmadieh Khanesar, Erdal Kayacan, Mahmut Reyhanoglu, Okyay Kaynak

Research output: Contribution to journalJournal articleResearchpeer-review


A novel type-2 fuzzy membership function (MF) in the form of an ellipse has recently been proposed in literature, the parameters of which that represent uncertainties are de-coupled from its parameters that determine the center and the support. This property has enabled the proposers to make an analytical comparison of the noise rejection capabilities of type-1 fuzzy logic systems with its type-2 counterparts. In this paper, a sliding mode control theory-based learning algorithm is proposed for an interval type-2 fuzzy logic system which benefits from elliptic type-2 fuzzy MFs. The learning is based on the feedback error learning method and not only the stability of the learning is proved but also the stability of the overall system is shown by adding an additional component to the control scheme to ensure robustness. In order to test the efficiency and efficacy of the proposed learning and the control algorithm, the trajectory tracking problem of a magnetic rigid spacecraft is studied. The simulations results show that the proposed control algorithm gives better performance results in terms of a smaller steady state error and a faster transient response as compared to conventional control algorithms.

Original languageEnglish
Article number7027198
JournalIEEE Transactions on Cybernetics
Issue number4
Pages (from-to)858-868
Number of pages11
Publication statusPublished - 1 Apr 2015
Externally publishedYes


  • Fuzzy control
  • fuzzy neural networks
  • nonlinear control systems
  • stability analysis

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