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Consensus problems for multi-agent systems with nonlinear algorithms

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Abstract

The paper investigates consensus problems for multi-agent systems with nonlinear algorithms. Group consensus algorithms with actuator saturation for the first-order and second-order multi-agent systems are proposed. In addition, the adaptive consensus algorithm with nonlinear dynamic is also given. By applying the graph theory, Lyapunov function, and LaSalle’s invariance principle, consensus conditions for multi-agent systems are derived. Finally, three simulation examples are provided to denote the effectiveness of obtained theoretical results.

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Acknowledgments

This work was supported by Natural Science Fundamental Research Project of Jiangsu Colleges and Universities under Grant 14KJB120006, National Natural Science Foundation of PR China under Grant 61403199, Natural Science Foundation of Jiangsu Province under Grant BK20140770, Natural Science Foundation of Jiangsu Province under Grant BK20130989, the Scientific Research Foundation of Nanjing University of Information Science and Technology under Grant 2013X047, C-MEIC in School of Information and Control of Nanjing University of Information Science and Technology, Jiangsu Collaborative Innovation Center on Atmospheric Environment and Equipment Technology of Nanjing University of Information Science and Technology.

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Authors and Affiliations

  1. School of Information and Control, Nanjing University of Information Science and Technology, Nanjing, 210044, Jiangsu, People’s Republic of China

    Guoying Miao & Qingqing Liu

  2. School of Automation, Nanjing University of Science and Technology, Nanjing, 210094, Jiangsu, People’s Republic of China

    Qian Ma

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  1. Guoying Miao
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  2. Qian Ma
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  3. Qingqing Liu
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Correspondence to Guoying Miao.

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Miao, G., Ma, Q. & Liu, Q. Consensus problems for multi-agent systems with nonlinear algorithms. Neural Comput & Applic 27, 1327–1336 (2016). https://doi.org/10.1007/s00521-015-1936-6

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  • DOI: https://doi.org/10.1007/s00521-015-1936-6

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