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Distributed Fuzzy Adaptive Consensus Control for a Class of Heterogeneous Multi-agent Systems with Nonidentical Dimensions

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Abstract

A novel distributed fuzzy adaptive control approach is studied for a class of heterogeneous uncertain nonlinear multi-agent systems with different dimensions. Similar definition and property of each agent are introduced, and similar parameters among each agent can be obtained using the proposed properties, then the feedback distributed fuzzy adaptive control based on similar matrices and vectors is designed such that all followers can asymptotically track the leader’s dynamic behaviors. It is proved that the consensus problem of heterogeneous nonlinear multi-agent systems with different dimensions can be guaranteed by applying the proposed control strategy. An efficient framework is that the computation burden can be alleviated greatly because of a few adaptive laws. Finally, two simulation examples are provided to verify the effectiveness of the designed control method.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China under Grant (62003262, 51875457, 61903298), General Projects of Key Research and Development Plan in Shaanxi Province (2019GY-061), Shaanxi Provincial Department of Science and Technology Key Project in the Field of Industry (2018ZDXM-GY-039), National Natural Science Foundation of Shaanxi under Grant 2019JQ-341, Shaanxi Provincial Scientific and Technological Activities for Overseas Staff Preferential Projects under Grant 35.

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  1. School of Automation, Xi’an Key Laboratory of Advanced Control and Intelligent Process, Xi’an University of Posts and Telecommunications, Xi’an, 710121, China

    Yongqing Fan, Meirong Hao & Zhen Li

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  1. Yongqing Fan
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  2. Meirong Hao
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  3. Zhen Li
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Correspondence to Yongqing Fan.

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Fan, Y., Hao, M. & Li, Z. Distributed Fuzzy Adaptive Consensus Control for a Class of Heterogeneous Multi-agent Systems with Nonidentical Dimensions. Int. J. Fuzzy Syst. 23, 128–138 (2021). https://doi.org/10.1007/s40815-020-01013-6

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