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Prescribed-Time Consensus for Second-Order Multi-agent Systems Based on Barried Lyapunov Function

  • Shaojun Zhou,
  • Yingjiang Zhou,
  • Yu Wang,
  • Yuanzheng Wei,
  • Zhihao Fan,
  • Xiaoling Wang

摘要

In this paper, for second-order multi-agent systems (SMASs), the prescribed-time consensus based on barried Lyapunov function (BLF) is studied. Firstly, based on BLF, two different controllers are designed. For SMASs, the two controllers make the consensus error not only meet the prescribed condition constraint, but also converge in the prescribed time. Secondly, a new control strategy is designed by the backstepping method to make the states of MASs reach consensus, and ensure that within the prescribed time of any design. In the end, The effectiveness of the proposed control strategy is verified through numerical simulation.