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Composite Anti-Disturbance Synchronization Control for Delayed Neural Networks Subject to Unknown Disturbances

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Abstract

This paper studies the master–slave synchronization in a class of delayed neural networks under external disturbance. Initially, based on an exogenous disturbance model, an effective observer is proposed to estimate the disturbance and the estimation is further utilized to design the composite controller. Then, as for the overall closed-loop error system, by choosing an augmented Lyapunov–Krasovskii functional and using some recently reported techniques, a sufficient condition is established to guarantee the desired stability and \(H_\infty \) control performance. Furthermore, by combining free-weighting matrix technique with matrix transformation one, two co-design methods are obtained to ensure the existence of observer gain and controller ones in terms of linear matrix inequalities, which can possess much less conservatism. Finally, some comparisons and simulations in an example are given to illustrate our proposed methods.

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Data availability statements

The datasets generated during and/or analyzed during this current study are available from the corresponding author on reasonable request.

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Acknowledgements

This work was supported by National Natural Science Foundation of China (Nos. 62073164, 61873127) and Foundation for Youth Science and Innovations of Nanjing Forestry University (No. CX2017032).

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Authors and Affiliations

  1. School of Information Science and Technology, Nanjing Forestry University, Nanjing, 210042, People’s Republic of China

    Ting Wang

  2. School of Automation Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, 211106, People’s Republic of China

    Linbo Chen & Tao Li

  3. School of Automation, Southeast University, Nanjing, 210096, People’s Republic of China

    Shumin Fei

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  1. Ting Wang
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  2. Linbo Chen
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Correspondence to Ting Wang.

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Wang, T., Chen, L., Li, T. et al. Composite Anti-Disturbance Synchronization Control for Delayed Neural Networks Subject to Unknown Disturbances. Circuits Syst Signal Process 40, 1986–2005 (2021). https://doi.org/10.1007/s00034-020-01562-z

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  • DOI: https://doi.org/10.1007/s00034-020-01562-z

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