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Sliding mode control for consensus tracking of second-order nonlinear multi-agent systems driven by Brownian motion

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Abstract

The consensus tracking problem of nonlinear stochastic multi-agent systems with directed topologies is investigated in this study. To solve the consensus tracking problem, first, an innovative concept of sub-reachability is introduced, and then, the specified sliding hyperplane is designed. A novel consensus tracking protocol is then proposed by using sliding mode techniques. With the help of Itô integral techniques and stochastic Lyapunov method, the sub-reachability of sliding motion and consensus tracking are proved; that is, the sliding mode variable structure control protocol steers the consensus errors to the given sliding surface in a finite time, and the sliding motion is exponentially stable in the sense of mean square. The efficacy of the proposed method is tested by a numerical case.

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Acknowledgements

This work was supported by National Natural Science Foundation of China (Grant Nos. 61573154, 61573156), and partly supported by Science and Technology Project of Guangdong Province (Grant Nos. 2015A010106003, 2014A020217015).

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Authors and Affiliations

  1. School of Mathematics and Information Science, Guangzhou University, Guangzhou, 510006, China

    Birong Zhao

  2. School of Automation, South China University of Technology, Guangzhou, 510640, China

    Yunjian Peng

  3. College of Automation, Guangdong University of Technology, Guangzhou, 510006, China

    Yanan Song

  4. Department of Engineering Management and Systems Engineering, Missouri University of Science and Technology, Missouri, 65401, USA

    Ruwen Qin

Authors
  1. Birong Zhao
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  2. Yunjian Peng
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  3. Yanan Song
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  4. Ruwen Qin
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Correspondence to Yunjian Peng.

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Zhao, B., Peng, Y., Song, Y. et al. Sliding mode control for consensus tracking of second-order nonlinear multi-agent systems driven by Brownian motion. Sci. China Inf. Sci. 61, 70216 (2018). https://doi.org/10.1007/s11432-017-9407-6

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  • DOI: https://doi.org/10.1007/s11432-017-9407-6

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