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Consensus of nonlinear multi-agent systems with fuzzy modelling uncertainties via state-constraint hybrid impulsive protocols

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Abstract

In this paper, the nonlinear multi-agent system which contains uncertainty and is controlled by state-constraint impulsive protocol is taken into consideration. For the uncertainty of the multi-agent system, it is replaced by fuzzy logic system approximately and a judgement strategy which only contains the relative information with neighbors is proposed in this paper. In order to do research in state-constraint impulsive protocol, three kinds of impulsive control protocols which conclude partial input saturation, double actuator saturation and single actuator saturation are discussed. Then, some sufficient conditions of the system are obtained to reach consensus. Finally, some numerical simulation examples are provided to prove the effectiveness of the theoretical analysis.

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Acknowledgements

This work was supported by National Natural Science Foundation of China (61873213, 61633011), and in part by National Key Research and Development Project (2018AAA0100101).

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Authors and Affiliations

  1. Chongqing Key Laboratory of Nonlinear Circuits and Intelligent Information Processing, College of Electronic and Information Engineering, Southwest University, Chongqing, 400715, People’s Republic of China

    Le You, Chuandong Li & Yiyan Han

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  1. Le You
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  2. Chuandong Li
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  3. Yiyan Han
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Correspondence to Chuandong Li.

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You, L., Li, C. & Han, Y. Consensus of nonlinear multi-agent systems with fuzzy modelling uncertainties via state-constraint hybrid impulsive protocols. Int. J. Mach. Learn. & Cyber. 11, 2653–2664 (2020). https://doi.org/10.1007/s13042-020-01140-4

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