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Adaptive fuzzy decentralised control for fractional-order interconnected nonlinear systems with input saturation

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  • Yongliang Zhan
  • Shuai Sui
  • Shaocheng Tong

Abstract

This paper studies the fuzzy decentralised control issue for the fractional-order interconnected nonlinear systems with input saturation. The fuzzy logic systems (FLSs) and piecewise functions are used to approximate unknown nonlinear continuous functions and the input saturation of the considered systems. Under the frameworks of the backstepping control design technique and adaptive fuzzy decentralised control theory, an adaptive fuzzy decentralised control strategy is proposed. In view of fractional-order Lyapunov stability theory, it confirms the stability of the control plants and the convergence of the tracking errors. Finally, two simulation examples are applied to confirm the practicability and validity of the presented control strategy, in which, one is the two-order numerical fractional-order large-scale systems, the other one is the fractional-order permanent magnet synchronous motor (PMSM) model.

Suggested Citation

  • Yongliang Zhan & Shuai Sui & Shaocheng Tong, 2021. "Adaptive fuzzy decentralised control for fractional-order interconnected nonlinear systems with input saturation," International Journal of Systems Science, Taylor & Francis Journals, vol. 52(13), pages 2689-2703, October.
  • Handle: RePEc:taf:tsysxx:v:52:y:2021:i:13:p:2689-2703
    DOI: 10.1080/00207721.2021.1895359
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    Cited by:

    1. Chen, Xiang & Li, Shi & Wang, Ronghao & Xiang, Zhengrong, 2023. "Event-Triggered output feedback adaptive control for nonlinear switched interconnected systems with unknown control coefficients," Applied Mathematics and Computation, Elsevier, vol. 445(C).
    2. Pishro, Aboozar & Shahrokhi, Mohammad & Sadeghi, Hamed, 2022. "Fault-tolerant adaptive fractional controller design for incommensurate fractional-order nonlinear dynamic systems subject to input and output restrictions," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).
    3. Khalid A. Alattas & Mai The Vu & Omid Mofid & Fayez F. M. El-Sousy & Afef Fekih & Saleh Mobayen, 2022. "Barrier Function-Based Nonsingular Finite-Time Tracker for Quadrotor UAVs Subject to Uncertainties and Input Constraints," Mathematics, MDPI, vol. 10(10), pages 1-16, May.

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