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Predefined-time fuzzy adaptive decentralised control for fractional-order nonlinear large-scale systems by a cyclic-small-gain-based approach

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  • Mengyuan Cui
  • Shaocheng Tong

Abstract

The predefined-time fuzzy adaptive output feedback decentralised control problem is considered for fractional-order nonlinear large-scale (FONLS) systems. Firstly, by using fuzzy logic systems (FLSs) to model unknown nonlinear dynamics, a fuzzy decentralised state observer is designed to solve the immeasurable state problem. Secondly, the predefined-time stability criterion of fractional-order nonlinear systems is proposed, and then, based on the established predefined-time stability criterion of the fractional-order nonlinear systems, a predefined-time fuzzy adaptive output feedback decentralised control method is developed by combining the backstepping design technique with the cyclic-small-gain approach, and the semi-global practically predefined-time stable (SGPPTS) of the control system is proved. Finally, the numerical simulation is given and shows the effectiveness of the presented predefined-time control method.

Suggested Citation

  • Mengyuan Cui & Shaocheng Tong, 2024. "Predefined-time fuzzy adaptive decentralised control for fractional-order nonlinear large-scale systems by a cyclic-small-gain-based approach," International Journal of Systems Science, Taylor & Francis Journals, vol. 55(1), pages 68-86, January.
    • Handle: RePEc:taf:tsysxx:v:55:y:2024:i:1:p:68-86
    DOI: 10.1080/00207721.2023.2268246
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