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Non-fragile control protocol for finite-time consensus of stochastic multi-agent systems with input time-varying delay

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Abstract

The existence of gain variations in control design often disrupts most of the control system performance. By considering this point, as a first attempt in the literature, a robust non-fragile state feedback control design is proposed in this paper for achieving finite-time consensus in a class of stochastic nonlinear multi-agent systems with randomly occurring uncertainty and randomly occurring nonlinearity. Specifically, the randomness phenomena are characterized with the aid of stochastic variables that satisfy the Bernoulli distribution properties. To design the non-fragile control protocol, the communication graph is chosen to be directed and connected subject to switching topologies. On the basis of the Lyapunov–Krasovskii stability theory and stochastic analysis techniques, a new set of sufficient conditions is established to guarantee that the states of all agents can reach an agreement over a given finite-time period via the proposed non-fragile switched control law. The effectiveness of the designed consensus protocol is demonstrated through an academic example.

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Acknowledgements

This work is supported in part by the Shandong Provincial Key R&D Program, China, under Grant no. 2018GGX104025, the National Natural Science Foundation of China under Grant nos. 61773242 and U1613223, and the project ZR2017QF007 supported by Shandong Provincial Natural Science Foundation.

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Authors and Affiliations

  1. Department of Mathematics, Anna University Regional Campus, Coimbatore, 641046, India

    B. Kaviarasan

  2. Department of Applied Mathematics, Bharathiar University, Coimbatore, 641046, India

    R. Sakthivel

  3. Department of Mathematics, Sungkyunkwan University, Suwon, 440-746, South Korea

    R. Sakthivel

  4. School of Electrical Engineering, University of Jinan, Jinan, 250022, China

    Y. Li

  5. Shandong Key Laboratory of Big-data Driven Safety Control Technology for Complex Systems, Qingdao, 266590, China

    Y. Li

  6. Institute for Automatic Control and Complex Systems (AKS), University of Duisburg-Essen, 47057, Duisburg, Germany

    D. Zhao

  7. Department of Mathematics, Anhui Normal University, Wuhu, 241000, China

    Y. Ren

  8. School of Science, Beijing University of Civil Engineering and Architecture, Beijing, 100044, China

    Y. Ren

Authors
  1. B. Kaviarasan
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  2. R. Sakthivel
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  3. Y. Li
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  4. D. Zhao
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  5. Y. Ren
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Correspondence to R. Sakthivel or Y. Ren.

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Kaviarasan, B., Sakthivel, R., Li, Y. et al. Non-fragile control protocol for finite-time consensus of stochastic multi-agent systems with input time-varying delay. Int. J. Mach. Learn. & Cyber. 11, 325–337 (2020). https://doi.org/10.1007/s13042-019-00976-9

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