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Output consensus for heterogeneous nonlinear multi-agent systems based on T-S fuzzy model

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Abstract

In this paper, the output consensus problem of general heterogeneous nonlinear multi-agent systems subject to different disturbances is considered. A kind of Takagi-Sukeno fuzzy modeling method is used to describe the nonlinear agents’ dynamics. Based on the model, a distributed fuzzy observer and controller are designed based on parallel distributed compensation scheme and internal reference models such that the heterogeneous nonlinear multi-agent systems can achieve output consensus. Then a necessary and sufficient condition is presented for the output consensus problem. And it is shown that the consensus trajectory of the global fuzzy model is determined by the network topology and the initial states of the internal reference models. Finally, some simulations are given to illustrate and verify the effectiveness of the proposed scheme.

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Authors and Affiliations

  1. School of Electrical Engineering, Yanshan University, Qinhuangdao, 066004, China

    Xiaolei Li, Xiaoyuan Luo & Shaobao Li

  2. Polytechnic School of Engineering, New York University, New York, NY, 11201, USA

    Xiaoyuan Luo

  3. Institute of Electronic, Information and Electrical Engineering, Shanghai Jiao Tong University, Shanghai, 200240, China

    Xinping Guan

Authors
  1. Xiaolei Li
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  2. Xiaoyuan Luo
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  3. Shaobao Li
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  4. Xinping Guan
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Corresponding author

Correspondence to Xiaoyuan Luo.

Additional information

This work is supported in part by the National Natural Science Foundation of China under Grant Nos. 61375105 and 61403334, Chinese Postdoctoral Science Fundation under Grant No. 2015M581318.

This paper was recommended for publication by Editor FENG Gang.

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Li, X., Luo, X., Li, S. et al. Output consensus for heterogeneous nonlinear multi-agent systems based on T-S fuzzy model. J Syst Sci Complex 30, 1042–1060 (2017). https://doi.org/10.1007/s11424-016-5243-9

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  • DOI: https://doi.org/10.1007/s11424-016-5243-9

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