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Adaptive fuzzy event-triggered cooperative control for fractional-order delayed multi-agent systems with unknown control direction

Author

Listed:
  • Zhang, Xiulan
  • Shi, Jiangteng
  • Liu, Heng
  • Chen, Fangqi

Abstract

In this paper, the cooperative control of fractional-order multi-agent systems with time delay and unknown control direction is studied by combining frequency distributed model and event-triggered mechanism. The Nussbaum function is employed to address the unmeasured control direction. Then, through the event-triggered mechanism, a corresponding controller is designed, which can guarantee that all signals are bounded while saving resources. The proposed theme is convenient for analyzing the stability of fractional-order systems based on a transformation of frequency distributed model. In particular, in order to enhance the universality of the proposed scheme in the fractional-order system stability analysis, a generalized fractional-order generalized lemma with respect to the Nussbaum function is given. Finally, the availability of the proposed method is confirmed by a simulation example.

Suggested Citation

  • Zhang, Xiulan & Shi, Jiangteng & Liu, Heng & Chen, Fangqi, 2024. "Adaptive fuzzy event-triggered cooperative control for fractional-order delayed multi-agent systems with unknown control direction," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 220(C), pages 552-566.
    • Handle: RePEc:eee:matcom:v:220:y:2024:i:c:p:552-566
    DOI: 10.1016/j.matcom.2024.02.007
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