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Neural Network-Based Adaptive Pi Backstepping Control For Fractional-Order Chaotic Systems With States Constraints

Author

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  • CHUNZHI YANG

    (School of Computer, Sichuan Technology and Business University, Chengdu 611745, P. R. China2School of Mathematical Sciences, Guangxi Minzu University, Nanning 530006, P. R. China)

  • YONG CHEN

    (School of Computer, Sichuan Technology and Business University, Chengdu 611745, P. R. China)

Abstract

In this paper, for a class of uncertain fractional-order chaotic systems with state constraints, an adaptive PI synchronization control algorithm based on neural networks is proposed, in which the neural network is used to approximate the unknown function. A PI-based regulator with proportional-integral is introduced to participate in the controller adjustment process and a special generalized error variable is proposed in this process. In order to avoid the state crossing the boundary, a logarithmic barrier function is proposed in time to manage the state of the system. Moreover, the proposed PI-based backstepping synchronous controller can ensure the stability of the closed-loop system and the error converges to a particularly small domain from the origin. Simulation experiments verify the practicability and effectiveness of this method.

Suggested Citation

  • Chunzhi Yang & Yong Chen, 2025. "Neural Network-Based Adaptive Pi Backstepping Control For Fractional-Order Chaotic Systems With States Constraints," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 33(04), pages 1-11.
    • Handle: RePEc:wsi:fracta:v:33:y:2025:i:04:n:s0218348x25400766
    DOI: 10.1142/S0218348X25400766
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