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<p>This paper investigates the consensus problems of leader-following fractional multi-agent systems on the directed networks, taking into account the linear and Lipschitz constant nonlinear dynamics under external disturbance. Firstly, we design a disturbance observer and construct the control protocol between multi-agent for linear and nonlinear systems. By utilizing the Mittag-Leffler function, the Gronwall inequality, as well as the Laplace transform and its inverse, two consensus tracking conditions are proposed that depend on the coupling strength, the feedback matrix, the coupling gain matrix and the directed networks. Finally, a numerical simulation verifies the effectiveness of the theoretical results.</p>

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Leader-following consensus of nonlinear fractional-order multi-agent systems with external disturbance

  • 期刊论文

  • 发表日期：

    2025年4月3日

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  • Lin Wang,
  • J. Vanterler da C. Sousa,
  • Danfeng Luo

摘要

This paper investigates the consensus problems of leader-following fractional multi-agent systems on the directed networks, taking into account the linear and Lipschitz constant nonlinear dynamics under external disturbance. Firstly, we design a disturbance observer and construct the control protocol between multi-agent for linear and nonlinear systems. By utilizing the Mittag-Leffler function, the Gronwall inequality, as well as the Laplace transform and its inverse, two consensus tracking conditions are proposed that depend on the coupling strength, the feedback matrix, the coupling gain matrix and the directed networks. Finally, a numerical simulation verifies the effectiveness of the theoretical results.