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Adaptive Fuzzy Finite-Time Consensus Tracking for High-Order Stochastic Multi-agent Systems with Input Saturation

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Abstract

In this paper, the finite-time leader-following consensus control for high-order stochastic nonlinear multi-agent systems with input constraints is considered. A finite-time consensus tracking controller based on adaptive fuzzy command filtered backstepping is designed under directed communication topology, and the finite-time command filter is induced to eliminate the computational explosion problem in traditional backstepping. At the same time, a fractional power form-based error compensation method is developed to eliminate filtering error. In addition, the fuzzy logic system is used to approximate the unknown nonlinear functions. It can be shown that the practical finite-time stability in mean square can be assured under the given control method. The simulation results show that the proposed controller is effective and feasible.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (61603204), the Natural Science Foundation of Shandong Province (ZR2021MF046), the Science and Technology Support Plan for Youth Innovation of Universities in Shandong Province (2019KJN033), and the Taishan Scholar Special Project Fund (TS20190930).

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  1. School of Automation, Qingdao University, Qingdao, 266071, People’s Republic of China

    Xinyu Song & Lin Zhao

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  1. Xinyu Song
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Correspondence to Lin Zhao.

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Song, X., Zhao, L. Adaptive Fuzzy Finite-Time Consensus Tracking for High-Order Stochastic Multi-agent Systems with Input Saturation. Int. J. Fuzzy Syst. 24, 3781–3795 (2022). https://doi.org/10.1007/s40815-022-01368-y

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