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Prescribed-time consensus for multi-agent systems using finite switching time-varying gain
  • Yinsheng Li,
  • Bing Wang,
  • Yuquan Chen
Yinsheng Li
Hohai University College of Energy and Electrical Engineering
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Bing Wang
Hohai University College of Energy and Electrical Engineering

Corresponding Author:icekingking@hhu.edu.cn

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Yuquan Chen
Hohai University College of Energy and Electrical Engineering
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Abstract

In this paper, the prescribed-time consensus problem of multi-agent systems with finite control gain is investigated. A novel control Lyapunov function (CLF) framework for prescribed-time stability is developed by using the time space deformation approach. For both leaderless and leader-following prescribed-time consensus, new switching time-varying gain-based protocols are proposed, in which, the infinite time-varying control gain is turned off before the prescribed time and the global finiteness of control gain is thus guaranteed. It is mathematically proved that the agents equipped with the proposed protocols can achieve less conservative prescribed-time consensus in both leaderless cases and leader-following cases, on the basis of the developed CLF framework. The superiority of the proposed prescribed-time protocols in terms of consensus accuracy, control energy consumption, and control peak value is demonstrated through comparison simulations using illustrative examples.
10 Nov 2023Submitted to International Journal of Robust and Nonlinear Control
10 Nov 2023Submission Checks Completed
10 Nov 2023Assigned to Editor
10 Nov 2023Review(s) Completed, Editorial Evaluation Pending
22 Nov 2023Reviewer(s) Assigned
21 Feb 2024Editorial Decision: Revise Minor
27 Mar 20241st Revision Received
27 Mar 2024Submission Checks Completed
27 Mar 2024Assigned to Editor
19 Jul 2024Editorial Decision: Accept