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Adaptive Neural Network Fault-Tolerant Consensus Control for Multi-agent Systems with Time-Delay and Asymmetric Error Constraint

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Abstract

In this paper, an adaptive neural network (NN) fault-tolerant controller is designed for the leader-following consensus control problem of a nonlinear multi-agent systems (MASs) under the complex effect of actuator fault, state time-delay, asymmetric output error constraint and the lumped uncertainty. Firstly, by using an asymmetric barrier Lyapunov function (BLF), output errors are ensured to meet the asymmetric output error constraint requirements. Then, Lyapunov–Krasovskii (L–K) functional and Young’s inequality are combined to tackle state time-delay. Radial basis function neural network (RBFNN) is employed to approximate the unknown nonlinear function. Furthermore, adaptive technique is utilized to solve actuator fault. Based on the Lyapunov stability theory, the semi-global bounded stability of closed-loop system is proved. Finally, the validity of the designed control strategy is verified by compared simulation and the application of the two-stage chemical reactors.

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The authors declare that all the data supporting the findings of this study are available within the article.

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Acknowledgements

This research was supported by Natural Science Foundation of Hebei Province (F2020203105); Science and Technology Project of Hebei Education Department (ZD2022012); Natural Science Foundation of Hebei Province (F2022203085) and National Natural Science Foundation of China (62073234).

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Authors and Affiliations

  1. School of Science, Yanshan University, Hebei Street, Qinhuangdao, 066004, Hebei, China

    Fei Li, Fang Wang & Lirong Fan

  2. Ocean College, Hebei Agricultural University, Hebei Street, Qinhuangdao, 066003, Hebei, China

    Chao Zhou

  3. School of Electrical and Information Engineering, Tianjin University, Tianjin, 300072, China

    Qun Zong

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  1. Fei Li
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  2. Fang Wang
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  3. Lirong Fan
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  4. Chao Zhou
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Correspondence to Fang Wang.

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Li, F., Wang, F., Fan, L. et al. Adaptive Neural Network Fault-Tolerant Consensus Control for Multi-agent Systems with Time-Delay and Asymmetric Error Constraint. Neural Process Lett 55, 10371–10392 (2023). https://doi.org/10.1007/s11063-023-11331-z

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