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Robust predictive synchronization of uncertain fractional-order time-delayed chaotic systems

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Abstract

In this paper, a novel robust predictive control strategy is proposed for the synchronization of fractional-order time-delay chaotic systems. A recurrent non-singleton type-2 fuzzy neural network (RNT2FNN) is used for the estimation of the unknown functions. Additionally, another RNT2FNN is used for the modeling of the tracking error. A nonlinear model-based predictive controller is then designed based on the proposed fuzzy model. The asymptotic stability of the approach is derived based on the Lyapunov stability theorem. A number of simulation examples are presented to verify the effectiveness of the proposed control method for the synchronization of two uncertain fractional-order time-delay identical and nonidentical chaotic systems. The proposed control strategy is also employed for high-performance position control of a hydraulic actuator. In this example, the nonlinear mechanical model of the hydraulic actuator, instead of a mathematical model, is simulated. The example demonstrates that the proposed control strategy can be applied to a wide class of nonlinear systems.

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Authors and Affiliations

  1. Electrical Engineering Department, Faculty of Engineering, University of Bonab, Bonab, Iran

    Ardashir Mohammadzadeh

  2. Control Engineering Department, Faculty of Electrical and Computer Engineering, University of Tabriz, Tabriz, Iran

    Sehraneh Ghaemi & Sohrab Khan mohammadi

  3. Bogazici University, Istanbul, Turkey

    Okyay Kaynak

Authors
  1. Ardashir Mohammadzadeh
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  2. Sehraneh Ghaemi
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  3. Okyay Kaynak
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  4. Sohrab Khan mohammadi
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Correspondence to Sehraneh Ghaemi.

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

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Communicated by V. Loia.

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Mohammadzadeh, A., Ghaemi, S., Kaynak, O. et al. Robust predictive synchronization of uncertain fractional-order time-delayed chaotic systems. Soft Comput 23, 6883–6898 (2019). https://doi.org/10.1007/s00500-018-3328-1

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