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Synchronisation of high-order MIMO nonlinear systems using distributed neuro-adaptive control

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  • Hassan Ghiti Sarand
  • Bahram Karimi

Abstract

This paper addresses synchronisation problem of high-order multi-input/multi-output (MIMO) multi-agent systems. Each agent has unknown nonlinear dynamics and is subject to uncertain external disturbances. The agents must follow a reference trajectory. An adaptive distributed controller based on relative information of neighbours of each agent is designed to solve the problem for any undirected connected communication topology. A radial basis function neural network is used to represent the controller's unknown structure. Lyapunov stability analysis is employed to guarantee stability of the overall system. By the theoretical analysis, the closed-loop control system is shown to be uniformly ultimately bounded. Finally, simulations are provided to show effectiveness of the proposed control method against uncertainty and disturbances.

Suggested Citation

  • Hassan Ghiti Sarand & Bahram Karimi, 2016. "Synchronisation of high-order MIMO nonlinear systems using distributed neuro-adaptive control," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(9), pages 2214-2224, July.
    • Handle: RePEc:taf:tsysxx:v:47:y:2016:i:9:p:2214-2224
    DOI: 10.1080/00207721.2014.980367
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    References listed on IDEAS

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    1. Editors, 2014. "International Journal of Systems Science," International Journal of Systems Science, Taylor & Francis Journals, vol. 45(12), pages 1-1, December.
    2. Lei Wang & Qing-Guo Wang, 2013. "A general approach for synchronisation of nonlinear networked systems with switching topology," International Journal of Systems Science, Taylor & Francis Journals, vol. 44(12), pages 2199-2210.
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    Cited by:

    1. Chen, Yonghui & Zhang, Xian & Xue, Yu, 2022. "Global exponential synchronization of high-order quaternion Hopfield neural networks with unbounded distributed delays and time-varying discrete delays," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 193(C), pages 173-189.

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