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

Xiulan Zhang, Jiangteng Shi, Heng Liu and Fangqi Chen

Mathematics and Computers in Simulation (MATCOM), 2024, vol. 220, issue C, 552-566

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.

Keywords: Event-triggered mechanism; Frequency distributed model; Lyapunov–Krasovskii function; Nussbaum function (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:220:y:2024:i:c:p:552-566

DOI: 10.1016/j.matcom.2024.02.007

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