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Volume 6 Issue 3
May  2019

IEEE/CAA Journal of Automatica Sinica

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Article Navigation >  IEEE/CAA Journal of Automatica Sinica  > 2019  >  6(3): 816-823
Khatir Khettab, Samir Ladaci and Yassine Bensafia, "Fuzzy Adaptive Control of a Fractional Order Chaotic System With Unknown Control Gain Sign Using a Fractional Order Nussbaum Gain," IEEE/CAA J. Autom. Sinica, vol. 6, no. 3, pp. 816-823, May 2019. doi: 10.1109/JAS.2016.7510169
Citation: Khatir Khettab, Samir Ladaci and Yassine Bensafia, "Fuzzy Adaptive Control of a Fractional Order Chaotic System With Unknown Control Gain Sign Using a Fractional Order Nussbaum Gain," IEEE/CAA J. Autom. Sinica, vol. 6, no. 3, pp. 816-823, May 2019. doi: 10.1109/JAS.2016.7510169
shu

Fuzzy Adaptive Control of a Fractional Order Chaotic System With Unknown Control Gain Sign Using a Fractional Order Nussbaum Gain

doi: 10.1109/JAS.2016.7510169
  • 1.

    Electrical Engineering Department, University of Mohamed Boudiaf, M'sila 28000, Algeria

  • 2.

    Electrical Engineering Department, University of Skikda, Skikda 21000, Algeria

  • 3.

    EEA Department, National Polytechnic School of Constantine, B. P. 75 A, Ali Mendjli 25000 Constantine, Algeria

  • 4.

    SP-Lab Laboratory, Department of Electronics, Mentouri University, Route de Ain Elbey, Constantine 25000, Algeria

  • 5.

    Electrical Engineering Department, University of Bouira, 10000 Bouira, Algeria

Funds:

the Algerian Ministry of Higher Education and Scientific Research (MESRS) for CNEPRU Research Project A01L08UN210120110001

More Information
    Abstract
  • In this paper we propose an improved fuzzy adaptive control strategy, for a class of nonlinear chaotic fractional order (SISO) systems with unknown control gain sign. The online control algorithm uses fuzzy logic sets for the identification of the fractional order chaotic system, whereas the lack of a priori knowledge on the control directions is solved by introducing a fractional order Nussbaum gain. Based on Lyapunov stability theorem, stability analysis is performed for the proposed control method for an acceptable synchronization error level. In this work, the Grünwald-Letnikov method is used for numerical approximation of the fractional order systems. A simulation example is given to illustrate the effectiveness of the proposed control scheme.

     

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